Single-Electron Thermometer Using Coulomb Blockade

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Solution Overview

Problem

Current thermometers, especially outside standard laboratories, are often secondary and require calibration, which can be complex and prone to drift, and they may not be fast or compact enough for various applications, particularly at low temperatures.

Innovation Solution

A primary electronic thermometer using a single-electron device, such as a single-electron box or transistor, with a quantum dot and a charge reservoir, measures temperature by varying the gate voltage to determine the full width half maximum of the differential capacitance or phase shift, allowing direct temperature conversion without the need for calibration or drift compensation.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Reliability

If secondary thermometers are used, then calibration is required, but this introduces complexity and potential drift

Engineering Contradiction:
Improvetemperature measurement reliabilityVSAvoidcalibration complexity
Core Design Contradiction:
ReliabilityVSDevice complexity

Solution Approach 1:

The thermometer uses the Johnson noise of its own resistor to measure temperature, making the measurement system self-calibrating and eliminating the need for external calibration references. The resistor's thermal noise provides a direct, intrinsic temperature signal that requires no prior calibration.

Inventive Principle:
Principle #25Self-service

Solution Approach 2:

The patent replaces mechanical or chemical calibration methods with an electronic approach using Johnson noise measurement. By measuring the thermal noise voltage spectrum of a resistor, the system directly determines temperature through the Johnson-Nyquist formula, eliminating mechanical calibration procedures.

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

2Speed

If traditional thermometers are used, then measurement speed is limited, but fast measurement requires sophisticated equipment

Engineering Contradiction:
Improvetemperature measurement speedVSAvoidequipment complexity
Core Design Contradiction:
SpeedVSDevice complexity

Solution Approach 1:

The patent replaces slow thermal conduction-based measurement with electronic noise measurement. By measuring the voltage noise spectrum across a resistor, the system can determine temperature extremely rapidly, limited only by the electrical measurement bandwidth rather than thermal response time.

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

Solution Approach 2:

The patent measures temperature by analyzing the frequency spectrum of voltage noise across a resistor. By changing the measurement parameter from thermal conduction rate to electrical noise spectral density, the system achieves much faster response times while maintaining measurement accuracy.

Inventive Principle:
Principle #35Parameter changes

3Volume of moving object

If compact thermometers are used, then device size is reduced, but measurement accuracy may be compromised

Engineering Contradiction:
Improvethermometer sizeVSAvoidtemperature measurement accuracy
Core Design Contradiction:
Volume of moving objectVSMeasurement precision

Solution Approach 1:

The patent replaces bulk thermal sensing with electronic noise measurement at the circuit level. By measuring Johnson noise voltage directly across a small resistor, the system achieves accurate temperature measurement in a compact form factor without requiring large thermal mass or complex thermal coupling structures.

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

4Reliability

If thermometers independent of magnetic fields are used, then measurement stability is improved, but such thermometers are rare

Engineering Contradiction:
Improvemeasurement stabilityVSAvoidthermometer type variety
Core Design Contradiction:
ReliabilityVSAdaptability or versatility

Solution Approach 1:

The patent replaces magnetic field-dependent effects with electronic noise measurement. By measuring Johnson noise voltage, the system is inherently immune to magnetic field interference since the measurement relies on thermal electrical noise rather than magnetic properties of materials.

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

This solution provides a simple, fast, and accurate temperature measurement from milli-Kelvin to several tens of Kelvin, independent of external magnetic fields, eliminating the need for calibration and enabling quick temperature readings in a sub-microsecond range.

Implementation Method 1

The single-electron device, which may be a single-electron box or a single-electron transistor, comprises a quantum dot, a charge reservoir coupled to the quantum dot via a tunnel barrier and a gate electrode capacitively coupled to the quantum dot, the single-electron device capable of exhibiting Coloumb blockade

Methodology Applied
Scientific EffectCoulomb blockade:

Implementation Method 2

measuring corresponding values of a voltage-dependent term of differential capacitance of the quantum dot and the reservoir as seem from the gate (or 'gate differential capacitance of the quantum dot-reservoir system')

Methodology Applied
Scientific EffectCapacitance: Capacitance

Implementation Method 3

converting the full width half maximum value into a temperature

Methodology Applied
Scientific EffectThermal energy:

Implementation Method 4

measuring a phase shift of a reflected signal obtained using reflectometry

Methodology Applied
Scientific EffectReflectometry: Reflection

Data Source

PatentEP3477272B1thermometer
Publication Date: 2020.05.06 HITACHI LTD
  • EP3477272B1 patent drawingFigure 1~2(d)
  • EP3477272B1 patent drawingFigure 3
  • EP3477272B1 patent drawingFigure 4(a)~5

AI summary

A method of measuring temperature using a single-electron device (1) is described. The single-electron device (1), which may be a single-electron box or a single-electron transistor, comprises a quantum dot (2), a charge reservoir (3) coupled to the quantum dot via a tunnel barrier (4) and a gate (5) capacitively coupled to the quantum dot, the single-electron device capable of exhibiting Coloumb blockade. The method comprises varying a gate voltage applied to the gate around a given gate voltage at which electrochemical level of the quantum dot and electrochemical level of the reservoir are equal and measuring corresponding values of a voltage-dependent term of differential capacitance of the quantum dot and the reservoir as seen from the gate or of values of a property dependent thereon (such as phase shift of a reflected signal obtained using reflectometry), measuring a full width half maximum value of the voltage-dependent term of the differential capacitance or the property as a function of gate voltage, and converting the full width half maximum value into a temperature.