Tunable circuit resonator based on nonlinear high-order topological insulator

Abstract

The invention provides a tunable circuit resonator based on a nonlinear high-order topological insulator. The tunable circuit resonator comprises a coupling inductor L1, a coupling inductor L2, a coupling capacitor C1, a coupling capacitor C2, a first subunit and a second subunit, the plurality of coupling inductors L1, the plurality of coupling inductors L2, the plurality of coupling capacitors C1, the plurality of coupling capacitors C2, the plurality of first subunits and the plurality of second subunits are periodically arranged to form a tunable circuit resonator; the capacitance value of the coupling capacitor C1 is smaller than that of the coupling capacitor C2, and the inductance value of the coupling inductor L1 is larger than that of the coupling inductor L2. Structural construction of the tunable circuit resonator is carried out based on the quadrupole moment topological insulator model, adjustability of the circuit resonator is achieved, and the circuit resonator adapts to constantly changing working conditions; the robustness of the tunable circuit resonator is improved by using the robustness of the topological angular state of the model, and the method has certain tolerance to circuit element errors; and the manufacturing cost of the tunable circuit resonator is further reduced.

Description

Technical Field

[0001] The invention relates to the technical field of electronic circuits, and in particular to a tunable circuit resonator based on a nonlinear high-order topological insulator. Background Art

[0002] In modern electronic devices, circuit resonators are one of the key components, and their performance directly affects the stability and reliability of the entire system. Traditional circuit resonators rely on precise component matching to achieve a specific resonant frequency, but due to parameter fluctuations caused by material defects and environmental factors, these resonators have poor robustness, resulting in unstable performance in practical applications. With the development of electronic technology, the demand for circuit resonators to have higher robustness and a wider range of applications is growing, so it is crucial to find a new method that can overcome the above problems.

[0003] In order to solve the problem of insufficient robustness of traditional circuit resonators, researchers have proposed a new type of resonator based on topological insulators. Topological insulators are a special material that behaves in an insulating state inside, but has good conductivity on the surface or edges. The unique physical properties of this material give it a natural immunity to material defects and impurities, thereby greatly improving the robustness of circuit resonators. By applying the concept of topological insulators to circuit design, resonators with topological protection characteristics can be constructed, which can maintain a stable resonant frequency even in the presence of small manufacturing deviations, which greatly expands the application potential of circuit resonators in theory.

[0004] Although circuit resonators based on topological insulators have shown significant advantages in improving robustness, they still have obvious limitations. The primary problem is that these resonators can usually only achieve a single fixed resonant frequency and lack an effective tuning mechanism, which greatly limits their flexibility in different application scenarios. In addition, in order to obtain highly robust and high-precision circuit resonators, the use of high-quality circuit components has become another common strategy, but this not only increases the cost of the circuit, but also may face the problem that components on the market cannot meet high-precision requirements. Therefore, how to develop a circuit resonator that can maintain high robustness and tunability has become an important direction of current research. Summary of the invention

[0005] In order to solve the above problems existing in the prior art, the present invention provides a tunable circuit resonator based on nonlinear high-order topological insulator.

[0006] The technical problem to be solved by the present invention is achieved through the following technical solutions:

[0007] In a first aspect, the present invention provides a tunable circuit resonator based on a nonlinear high-order topological insulator, comprising: a coupling inductor L1, a coupling inductor L2, a coupling capacitor C1, a coupling capacitor C2, a first subunit and a second subunit;

[0008] A plurality of coupling inductors L1, coupling inductors L2, coupling capacitors C1, coupling capacitors C2, first subunits and second subunits are periodically arranged to form a tunable circuit resonator;

[0009] The capacitance of the coupling capacitor C1 is smaller than that of the coupling capacitor C2, the inductance of the coupling inductor L1 is larger than that of the coupling inductor L2, and the structural arrangement of the tunable circuit resonator is established based on a quadrupole topological insulator model in condensed matter physics.

[0010] Optionally, the structure of the tunable circuit resonator is arranged as follows:

[0011] A plurality of first subunits and a plurality of second subunits are arranged alternately to form row units of a tunable circuit resonator; a plurality of row units are arranged longitudinally to form a tunable circuit resonator;

[0012] In each row unit, coupling capacitors C1 and coupling capacitors C2 are alternately arranged between the first subunit and the second subunit; in the longitudinal arrangement of the row units, coupling inductors L1 and coupling inductors L2 are alternately arranged between two adjacent first subunits; in the longitudinal arrangement of the row units, coupling capacitors C1 and coupling capacitors C2 are alternately arranged between two adjacent second subunits; the first subunit and the second subunit at the edge of the tunable circuit resonator are both grounded through the coupling capacitors C2 or the coupling inductors L2.

[0013] Optionally, the tunable circuit resonator is provided with N×M resonator units; N and M are both positive integers greater than or equal to 3;

[0014] Among them, two first sub-units adjacent to each other up and down and two second sub-units at adjacent corresponding positions constitute a resonant sub-unit.

[0015] Optionally, the first subunit includes: an inductor L g1 , capacitor C A1 , capacitor C A2 , Common cathode varactor diode C v1 And the common cathode varactor diode C v2 ;

[0016] Inductance L g1 The first end of the capacitor C A1 The first end of the capacitor C A2 The first end of the common cathode varactor diode C v1 The first end and the common cathode varactor diode C v2The first ends of the subunits are connected to each other to form an output interface of the first subunit;

[0017] Inductance L g1 The second end of the capacitor C A1 The second end of the capacitor C A2 The second end of the common cathode varactor diode C v1 The second end and the common cathode varactor diode C v2 The second ends are connected to each other and grounded;

[0018] The second subunit includes: inductor L g2 、Inductance L B1 、Inductance L B2 , Common cathode varactor diode C v3 And the common cathode varactor diode C v4 ;

[0019] Inductance L g2 The first end of the inductor L B1 The first end of the inductor L B2 The first end of the common cathode varactor diode C v3 The first end and the common cathode varactor diode C v4 The first ends of the subunits are connected to each other to form an output interface of the second subunit;

[0020] Inductance L g2 The second end of the inductor L B1 The second end of the inductor L B2 The second end of the common cathode varactor diode C v3 The second end and the common cathode varactor diode C v4 The second ends are connected to each other and grounded.

[0021] Optionally, the input end of the tunable circuit resonator is arranged at four corner nodes of the tunable circuit resonator.

[0022] Optionally, the inductor L g1 The inductance value is 1 microhenry, and the inductance L g2 The inductance value of the coupled inductor L1 is 150 microhenry, the inductance value of the coupled inductor L2 is 15 microhenry, and the inductance L B1 The inductance value is 150 microhenries, and the inductance L B2 The inductance is 15 microhenries; the capacitance of coupling capacitor C1 is 57 pF, the capacitance of coupling capacitor C2 is 570 pF, and the capacitance C A1 The capacitance value is 57 pF, capacitor C A2 The capacitance is 570 pF.

[0023] Optionally, the first subunits on the upper and lower sides of the tunable circuit resonator are grounded through coupling inductors L2; ​​the second subunits on the upper and lower sides of the tunable circuit resonator are grounded through coupling capacitors C2; the first subunits on the left side of the tunable circuit resonator are all grounded through coupling capacitors C2; and the second subunits on the right side of the tunable circuit resonator are all grounded through coupling capacitors C2.

[0024] The present invention provides a tunable circuit resonator based on a nonlinear high-order topological insulator, comprising: a coupled inductor L1, a coupled inductor L2, a coupled capacitor C1, a coupled capacitor C2, a first subunit and a second subunit; a plurality of coupled inductors L1, coupled inductors L2, coupled capacitors C1, coupled capacitors C2, a first subunit and a second subunit are arranged periodically to form a tunable circuit resonator; the capacitance of the coupling capacitor C1 is less than the capacitance of the coupling capacitor C2, the inductance of the coupling inductor L1 is greater than the inductance of the coupling inductor L2, and the structural arrangement of the tunable circuit resonator is established based on a quadrupole topological insulator model in condensed matter physics. In the present invention, by adopting a quadrupole topological insulator model, the adjustability of the tunable circuit resonator is achieved, and the tunable circuit resonator is adapted to the changing working conditions; the robustness of the topological angle state of the quadrupole topological insulator model is utilized to improve the robustness of the tunable circuit resonator, and a certain tolerance is provided for circuit element errors; since there is no need to use high-precision, high-cost circuit elements, the manufacturing cost of the tunable circuit resonator is reduced.

[0025] The present invention will be further described in detail below with reference to the accompanying drawings and embodiments. BRIEF DESCRIPTION OF THE DRAWINGS

[0026] Figure 1 A schematic structural diagram of a tunable circuit resonator based on a nonlinear high-order topological insulator provided in an embodiment of the present invention;

[0027] Figure 2 The result diagram of the relationship between the resonant frequency of the tunable circuit resonator and the input terminal voltage when the electronic device does not introduce errors is shown by way of example;

[0028] Figure 3 The result diagram of the relationship between the resonant frequency of the tunable circuit resonator and the input terminal voltage when the electronic device introduces an error is shown by way of example. DETAILED DESCRIPTION

[0029] Topological insulators are a new type of electronic material with the properties of internal insulation and surface conductivity. Since the surface states of topological insulators are topologically protected, the surface conductivity of topological insulators is robust and will not be affected by material defects and impurities. High-order topological insulators are a new branch in the field of topological insulators. They not only include the characteristics of first-order topological insulators, but also introduce new body-edge correspondences, allowing gapless boundary states to appear in new ways. In topological circuits, electrical signals are transmitted in the form of topological states, and errors in circuit elements will not affect the transmission of signals, and thus will not affect the performance of circuit devices. In the present invention, nonlinearity is further introduced into topological circuits, which helps to explore novel physical phenomena and realize complex topological states, making them more widely used in the fields of quantum computing, low-energy electronic devices, etc., while also promoting the discovery of new materials and the verification of theoretical models, bringing breakthrough progress to the research and application of topological circuits.

[0030] The present invention applies the concept of high-order topological insulators to the design of electronic circuits, and proposes a tunable circuit resonator based on a quadrupole topological insulator model. It aims to overcome the shortcomings of traditional circuit resonators in terms of robustness, while realizing the adjustability of the resonator frequency. The design uses a pair of common cathode varactor diodes, and cooperates with capacitors and inductors with lower precision to construct a nonlinear quadrupole topological circuit. The invention is derived from the topological angle state of nonlinear high-order topological insulators, and successfully establishes the connection between the input voltage and the resonant frequency. Even if a certain error is introduced into the components in the circuit, the relationship between the input voltage and the resonant frequency can still remain stable. This not only improves the robustness of the tunable circuit resonator, but also realizes the dynamic adjustability of the resonant frequency.

[0031] The present invention is further described in detail below with reference to specific embodiments, but the embodiments of the present invention are not limited thereto.

[0032] In order to improve the robustness of a tunable circuit resonator and reduce the manufacturing cost of the tunable circuit resonator, an embodiment of the present invention provides a tunable circuit resonator based on a nonlinear high-order topological insulator. Figure 1 A schematic diagram of a tunable circuit resonator based on a nonlinear high-order topological insulator is provided in an embodiment of the present invention. Figure 1 As shown, it includes: a coupling inductor L1, a coupling inductor L2, a coupling capacitor C1, a coupling capacitor C2, a first subunit and a second subunit;

[0033] A plurality of coupling inductors L1, coupling inductors L2, coupling capacitors C1, coupling capacitors C2, first subunits and second subunits are periodically arranged to form a tunable circuit resonator;

[0034] The capacitance of the coupling capacitor C1 is smaller than that of the coupling capacitor C2, the inductance of the coupling inductor L1 is larger than that of the coupling inductor L2, and the structural arrangement of the tunable circuit resonator is established based on a quadrupole topological insulator model in condensed matter physics.

[0035] It should be noted that the present embodiment is a circuit topology structure of a tunable circuit resonator constructed based on a quadrupole topological insulator model. In actual engineering, other models in condensed matter physics can also be used to construct a tunable circuit resonator. As long as the condensed matter physics model can achieve the technical effect that can be achieved by the present embodiment, it belongs to the protection scope of this scheme. In addition, the tunable circuit resonator provided in the present embodiment has a two-dimensional circuit structure, and in actual use, as long as it conforms to the rules of the multipole topological insulator model, the construction of the tunable circuit resonator can also adopt a three-dimensional or even higher-dimensional circuit structure design.

[0036] The embodiment of the present invention provides a tunable circuit resonator based on a nonlinear high-order topological insulator. By adopting a quadrupole topological insulator model, the adjustability of the tunable circuit resonator is achieved, and the tunable circuit resonator can adapt to changing working conditions. The robustness of the topological angular state of the quadrupole topological insulator model is utilized to improve the robustness of the tunable circuit resonator, and a certain tolerance is provided for circuit element errors. Since there is no need to use high-precision and high-cost circuit elements, the manufacturing cost of the tunable circuit resonator is reduced.

[0037] Optionally, the structure of the tunable circuit resonator is arranged as follows:

[0038] A plurality of first subunits and a plurality of second subunits are arranged alternately to form row units of a tunable circuit resonator; a plurality of row units are arranged longitudinally to form a tunable circuit resonator;

[0039] In each row unit, coupling capacitors C1 and coupling capacitors C2 are alternately arranged between the first subunit and the second subunit; in the longitudinal arrangement of the row units, coupling inductors L1 and coupling inductors L2 are alternately arranged between two adjacent first subunits; in the longitudinal arrangement of the row units, coupling capacitors C1 and coupling capacitors C2 are alternately arranged between two adjacent second subunits; the first subunit and the second subunit at the edge of the tunable circuit resonator are both grounded through the coupling capacitors C2 or the coupling inductors L2.

[0040] Optionally, the tunable circuit resonator is provided with N×M resonator units; N and M are both positive integers greater than or equal to 3;

[0041] Among them, two first sub-units adjacent to each other up and down and two second sub-units at adjacent corresponding positions constitute a resonant sub-unit.

[0042] It should be noted that, in order to facilitate the arrangement of components of the tunable circuit resonator, Figure 1 Specifically, 5×5 resonator units are used for schematic representation. The specific tunable circuit resonator can also be composed of N×M, which is not limited in this embodiment.

[0043] It should be further explained that, generally, the larger the values ​​of N and M are, the better the tunability of the tunable circuit resonator is. In actual settings, specific settings can be made based on the size requirements, cost requirements, and tunability requirements of the resonator.

[0044] Optionally, the first subunit includes: an inductor L g1 , capacitor C A1 , capacitor C A2 , Common cathode varactor diode C v1 And the common cathode varactor diode C v2 ;

[0045] Inductance L g1 The first end of the capacitor C A1 The first end of the capacitor C A2 The first end of the common cathode varactor diode C v1 The first end and the common cathode varactor diode C v2 The first ends of the subunits are connected to each other to form an output interface of the first subunit;

[0046] Inductance L g1 The second end of the capacitor C A1 The second end of the capacitor C A2 The second end of the common cathode varactor diode C v1 The second end and the common cathode varactor diode C v2 The second ends are connected to each other and grounded;

[0047] The second subunit includes: inductor L g2 、Inductance L B1 、Inductance L B2 , Common cathode varactor diode C v3 And the common cathode varactor diode C v4 ;

[0048] Inductance L g2 The first end of the inductor L B1 The first end of the inductor L B2 The first end of the common cathode varactor diode C v3 The first end and the common cathode varactor diode C v4 The first ends of the subunits are connected to each other to form an output interface of the second subunit;

[0049] Inductance L g2 The second end of the inductor LB1 The second end of the inductor L B2 The second end of the common cathode varactor diode C v3 The second end and the common cathode varactor diode C v4 The second ends are connected to each other and grounded.

[0050] In this embodiment, the tunability of the circuit resonator is achieved by introducing nonlinearity, utilizing the nonlinear characteristics of the common cathode varactor diode. This nonlinear characteristic enables the circuit resonator circuit to have an adjustable resonant frequency, thereby achieving specific circuit functions and performance requirements.

[0051] Optionally, the input end of the tunable circuit resonator is arranged at four corner nodes of the tunable circuit resonator. Figure 1 As shown, the embodiment of the present invention places the input end of the tunable circuit resonator at the upper right corner of the tunable circuit resonator, as shown by the green dotted line frame.

[0052] It should be noted that the input end of the tunable circuit resonator should specifically be the outermost sub-units at the four corners.

[0053] Optionally, the inductor L g1 The inductance value is 1 microhenry, and the inductance L g2 The inductance value of the coupled inductor L1 is 150 microhenry, the inductance value of the coupled inductor L2 is 15 microhenry, and the inductance L B1 The inductance value is 150 microhenries, and the inductance L B2 The inductance is 15 microhenries; the capacitance of coupling capacitor C1 is 57 pF, the capacitance of coupling capacitor C2 is 570 pF, and the capacitance C A1 The capacitance value is 57 pF, capacitor C A2 The capacitance is 570 pF.

[0054] Optionally, the first subunits on the upper and lower sides of the tunable circuit resonator are grounded through coupling inductors L2; ​​the second subunits on the upper and lower sides of the tunable circuit resonator are grounded through coupling capacitors C2; the first subunits on the left side of the tunable circuit resonator are all grounded through coupling capacitors C2; and the second subunits on the right side of the tunable circuit resonator are all grounded through coupling capacitors C2.

[0055] The embodiment of the present invention provides a tunable circuit resonator. Since the tunable circuit resonator circuit can be composed of passive components, when the circuit components in the tunable circuit resonator do not introduce errors, there is a one-to-one correspondence between the resonant frequency of the tunable circuit resonator and the input terminal voltage. When the upper right corner of the tunable circuit resonator is the input terminal, such as Figure 1 As shown in the second subunit marked by the green dashed box, the circuit resonator can achieve adjustable resonant frequency, as shown in Figure 2As shown in Figure (a). Figure 2 The corresponding circuit distribution is as follows: Figure 2 As shown in Figure (b). Figure 2 It can be seen from Figure (b) that since the present invention is based on the topological corner state of a nonlinear high-order topological insulator, at the corresponding resonant frequency, the voltage in the circuit is mainly distributed in the upper right corner of the circuit, i.e., at the input end.

[0056] In order to verify that the tunable circuit resonator based on nonlinear high-order topological insulator provided in an embodiment of the present invention has a certain robustness, a certain error is added to the devices in the circuit in this embodiment, and the relationship between the resonant frequency and the voltage after the error is added is analyzed.

[0057] Specifically, the circuit characteristics of the tunable circuit resonator in this embodiment are derived from the topological angular state of the nonlinear high-order topological insulator. Since the topological angular state of the nonlinear high-order topological insulator is robust, that is, it has a certain tolerance to circuit element errors, the designed nonlinear circuit resonator is robust. Furthermore, the applicant has found through experiments that when the coupling inductor L1, the coupling inductor L2, the coupling capacitor C1, the coupling capacitor C2, and the capacitor C in the first subunit are A1 and capacitor C A2 and the inductor L in the second subunit B1 and inductor L B2 After introducing the ±3% error, for the 15 sets of parameters, the one-to-one correspondence between the resonant frequency and the input voltage still exists and the difference is small, such as Figure 3 As shown. It is verified that the tunable circuit resonator has a certain robustness.

[0058] In summary, a tunable circuit resonator based on a nonlinear high-order topological insulator provided by an embodiment of the present invention may have certain errors in the coupled inductor element and the coupled capacitor element, that is, a tunable circuit resonator can be realized with low-precision elements available on the market. The cost of the circuit is reduced, and the problem that the existing circuit elements cannot meet the demand is avoided. Since the topological corner state of the high-order topological insulator is robust, the impact of the device error is fundamentally reduced, thereby improving the robustness of the tunable circuit resonator. Finally, since the nonlinear effect is cleverly introduced into the circuit structure of the high-order topological insulator, this innovative design gives the resonator a tunable characteristic, breaks the limitation of the fixed resonant frequency, and enables the resonator to adjust its operating frequency according to different application requirements, greatly expanding its application range and flexibility.

[0059] It should be noted that the terms "first", "second", etc. are used to distinguish similar objects, and are not necessarily used to describe a specific order or sequence. It should be understood that the numbers used in this way can be interchangeable where appropriate, so that the embodiments of the present invention described herein can be implemented in an order other than those illustrated or described herein.

[0060] In the description of this specification, the description with reference to the terms "one embodiment", "some embodiments", "example", "specific example", or "some examples" etc. means that the specific features or characteristics described in conjunction with the embodiment or example are included in at least one embodiment or example of the present invention. In this specification, the schematic representations of the above terms do not necessarily refer to the same embodiment or example. Moreover, the specific features or characteristics described may be combined in any one or more embodiments or examples in a suitable manner. In addition, those skilled in the art may combine and combine the different embodiments or examples described in this specification.

[0061] Although the present invention is described herein in conjunction with various embodiments, in the process of implementing the claimed invention, those skilled in the art can understand and implement other changes of the above disclosed embodiments by viewing the drawings and the disclosed content. In the description of the present invention, the term "comprising" does not exclude other components or steps, "one" or "an" does not exclude multiple situations, and the meaning of "multiple" is two or more, unless otherwise clearly and specifically limited. In addition, certain measures are recorded in different embodiments, but this does not mean that these measures cannot be combined to produce good results.

[0062] The above contents are further detailed descriptions of the present invention in combination with specific preferred embodiments, and it cannot be determined that the specific implementation of the present invention is limited to these descriptions. For ordinary technicians in the technical field to which the present invention belongs, several simple deductions or substitutions can be made without departing from the concept of the present invention, which should be regarded as falling within the scope of protection of the present invention.

Claims

1. A tunable circuit resonator based on a nonlinear high-order topological insulator, characterized in that: include: A coupling inductor L1, a coupling inductor L2, a coupling capacitor C1, a coupling capacitor C2, a first subunit and a second subunit; A plurality of the coupling inductors L1, the coupling inductors L2, the coupling capacitors C1, the coupling capacitors C2, the first subunits and the second subunits are arranged periodically to form the tunable circuit resonator; The capacitance of the coupling capacitor C1 is smaller than the capacitance of the coupling capacitor C2, the inductance of the coupling inductor L1 is larger than the inductance of the coupling inductor L2, and the structural arrangement of the tunable circuit resonator is established based on a quadrupole topological insulator model in condensed matter physics.

2. The tunable circuit resonator based on nonlinear high-order topological insulator according to claim 1, characterized in that: The structural arrangement of the tunable circuit resonator is that a plurality of the first sub-units and a plurality of the second sub-units are arranged alternately to form a row unit of the tunable circuit resonator; a plurality of the row units are arranged longitudinally to form the tunable circuit resonator; In each of the row units, coupling capacitors C1 and coupling capacitors C2 are alternately arranged between the first sub-unit and the second sub-unit; in the longitudinal arrangement of the row units, coupling inductors L1 and coupling inductors L2 are alternately arranged between two adjacent first sub-units; in the longitudinal arrangement of the row units, coupling capacitors C1 and coupling capacitors C2 are alternately arranged between two adjacent second sub-units; the first sub-unit and the second sub-unit at the edge of the tunable circuit resonator are both grounded through the coupling capacitors C2 or the coupling inductors L2.

3. The tunable circuit resonator based on nonlinear high-order topological insulator according to claim 2, characterized in that: The tunable circuit resonator is provided with N×M resonator units; N and M are both positive integers greater than or equal to 3; The two first sub-units adjacent to each other vertically and the two second sub-units at adjacent corresponding positions constitute one resonator unit.

4. The tunable circuit resonator based on nonlinear high-order topological insulator according to claim 1, characterized in that: The first subunit includes: an inductor L g1 , capacitor C A1 , capacitor C A2 , Common cathode varactor diode C v1 And the common cathode varactor diode C v2 ; The inductance L g1 The first end of the capacitor C A1 The first end of the capacitor C A2 The first end of the common cathode varactor diode C v1 The first end and the common cathode varactor diode C v2 The first ends of the subunits are connected to each other to form an output interface of the first subunit; The inductance L g1 The second end of the capacitor C A1 The second end of the capacitor C A2 The second end of the common cathode varactor diode C v1 The second end and the common cathode varactor diode C v2 The second ends are connected to each other and grounded; The second subunit includes: an inductor L g2 、Inductance L B1 、Inductance L B2 , Common cathode varactor diode C v3 And the common cathode varactor diode C v4 ; The inductance L g2 The first end of the inductor L B1 The first end of the inductor L B2 The first end of the common cathode varactor diode C v3 The first end and the common cathode varactor diode C v4 The first ends of the subunits are connected to each other to form an output interface of the second subunit; The inductance L g2 The second end of the inductor L B1 The second end of the inductor L B2 The second end of the common cathode varactor diode C v3 The second end and the common cathode varactor diode C v4 The second ends are connected to each other and grounded.

5. The tunable circuit resonator based on nonlinear high-order topological insulator according to claim 1, characterized in that: The input end of the tunable circuit resonator is arranged at four corner nodes of the tunable circuit resonator.

6. The tunable circuit resonator based on nonlinear high-order topological insulator according to claim 4, characterized in that: Inductance L g1 The inductance value is 1 microhenry, and the inductance L g2 The inductance value of the coupled inductor L1 is 150 microhenry, the inductance value of the coupled inductor L2 is 15 microhenry, and the inductance L B1 The inductance value is 150 microhenries, and the inductance L B2 The inductance is 15 microhenries; the capacitance of coupling capacitor C1 is 57 pF, the capacitance of coupling capacitor C2 is 570 pF, and the capacitance C A1 The capacitance value is 57 pF, capacitor C A2 The capacitance is 570 pF.

7. The tunable circuit resonator based on nonlinear high-order topological insulator according to claim 2, characterized in that: The first subunits on the upper and lower sides of the tunable circuit resonator are grounded through the coupling inductor L2; the second subunits on the upper and lower sides of the tunable circuit resonator are grounded through the coupling capacitor C2; the first subunits on the left side of the tunable circuit resonator are all grounded through the coupling capacitor C2; the second subunits on the right side of the tunable circuit resonator are all grounded through the coupling capacitor C2.

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