Analytical Ion Implantation Distribution Model for Large Tilt Angles

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Solution Overview

Problem

Current methods for simulating ion implantation distributions in MOS structures, especially at large tilt angles, rely on numerical analysis, making it difficult to obtain analytical models for pocket ion implantation distributions, which complicates the association of actual distributions with process conditions and requires expertise and significant time, limiting the use of simulators as intuitive and efficient tools for developers.

Innovation Solution

A method for generating ion implantation distributions using a computer-based analytical model that accounts for different regions influenced by the gate structure, allowing for the calculation of impurity concentration distributions at large tilt angles and providing an intuitive simulator for developers to easily operate and obtain accurate results.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If numerical analysis is used to simulate ion implantation distributions at large tilt angles, then accuracy of the distribution calculation is improved, but device complexity and difficulty of operation increase, requiring extensive expertise and time

Engineering Contradiction:
Improveaccuracy of distribution calculationVSAvoidcomplexity of simulation method
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The ion implantation distribution is segmented into multiple Gaussian distributions, each representing a specific region (e.g., channel region, pocket region, source/drain region). By dividing the complex distribution into simpler components, the patent achieves accurate representation of large tilt angle implantation while enabling easier calculation through superposition of individual Gaussian profiles.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent transforms the complex numerical analysis problem into a parameter-based analytical solution by expressing the ion implantation distribution as a sum of Gaussian functions with adjustable parameters (mean, standard deviation, amplitude). This parameterization allows accurate fitting to numerical results while simplifying the computational approach and reducing the need for extensive expertise.

Inventive Principle:
Principle #35Parameter changes

2Productivity

If analytical models are used for ion implantation distribution, then ease of operation and speed are improved, but accuracy in matching numerical calculations deteriorates, especially at large tilt angles

Engineering Contradiction:
Improvespeed of simulationVSAvoidaccuracy of distribution model
Core Design Contradiction:
ProductivityVSMeasurement precision

Solution Approach 1:

The patent optimizes the parameters of Gaussian distributions (mean position, standard deviation, and amplitude) to match the ion implantation distribution obtained from numerical analysis. By adjusting these parameters, the analytical model achieves high accuracy in reproducing numerical results while maintaining computational efficiency and ease of operation.

Inventive Principle:
Principle #35Parameter changes

Solution Approach 2:

The patent creates a composite analytical model by superimposing multiple Gaussian distributions to represent the complex ion implantation profile. This composite approach combines the simplicity of individual Gaussian functions with the accuracy needed to match numerical calculations, achieving both speed and precision.

Inventive Principle:
Principle #40Composite materials

3Manufacturing precision

If complicated diffusion phenomena are considered in device simulation, then manufacturing precision of device structure is improved, but loss of time and complexity increase

Engineering Contradiction:
Improveprecision of device structureVSAvoidtime for simulation
Core Design Contradiction:
Manufacturing precisionVSLoss of time

Solution Approach 1:

The patent extracts and focuses only on the essential ion implantation distribution characteristics by representing them as Gaussian profiles, separating the critical implantation physics from less important diffusion effects. This extraction allows accurate prediction of the implanted ion distribution without requiring time-consuming simulation of complicated diffusion phenomena.

Inventive Principle:
Principle #2Taking out (Extraction)

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

Enables the generation of analytical models for ion implantation distributions that closely match numerical calculations, facilitating device simulation and improving the association of simulation results with actual process conditions, thus simplifying the simulation process and reducing the need for extensive expertise and time.

Implementation Method 1

In silicon integrated circuit devices, to introduce impurities into a silicon substrate, ion implantation is generally performed.

Methodology Applied
Scientific EffectIon implantation: Ion Implantation

Data Source

PatentUS8718986B2Ion implantation distribution generating method and simulator
Publication Date: 2014.05.06 TAIWAN SEMICONDUCTOR MANUFACTURING CO LTD
  • US8718986B2 patent drawing
  • US8718986B2 patent drawing
  • US8718986B2 patent drawing

AI summary

A method of generating an ion implantation distribution by a computer is disclosed. The method includes calculating ion implantation distribution regions in a case of generating the ion implantation distribution with a large tilt angle and generating an analytical model of the ion implantation distribution in correspondence with each of the ion implantation distribution regions by using a Gauss distribution model, in which the ion implantation distribution regions have different influence on a channel region depending on a gate structure formed on the ion distribution regions.