EM Temperature Evaluation With Self-Heating and Thermal Coupling

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Solution Overview

Problem

Current electromigration (EM) evaluation methodologies in semiconductor devices do not accurately account for self-heating effects (SHE), leading to underestimated conductive line operating temperatures and increased risks of premature failures in FinFET integrated circuit designs.

Innovation Solution

A self-heating aware EM evaluation methodology that uses equation-based device temperature calculations and pseudo-3D thermal models to adjust conductive line temperatures, considering FinFET, high-resistance, and conductive line self-heating effects, to improve the accuracy of EM evaluations and reduce the risk of premature failures.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If conventional EM evaluation methodologies are used, then the evaluation process is simple, but the temperature calculation accuracy is insufficient leading to underestimated conductive line operating temperatures

Engineering Contradiction:
Improvetemperature calculation accuracyVSAvoidevaluation methodology complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent segments the thermal analysis into distinct components: self-heating effects (SHE) from active regions, thermal coupling effects from neighboring structures, and heat sink effects. This segmentation allows each thermal mechanism to be calculated and combined separately, improving accuracy while maintaining a systematic evaluation process that doesn't require complete thermal simulation complexity.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent transitions from conventional 2D cross-sectional thermal analysis to a pseudo-3D thermal model that incorporates horizontal thermal coupling effects. This dimensional enhancement captures heat flow in the lateral direction between neighboring active regions and conductive lines, significantly improving temperature calculation accuracy without requiring full 3D thermal simulation complexity.

Inventive Principle:
Principle #17Another dimension (Dimensionality change)

2Measurement precision

If self-heating effects are considered in EM evaluation, then temperature accuracy improves, but the risk of premature failures increases due to higher temperatures

Engineering Contradiction:
Improvetemperature calculation accuracyVSAvoiddevice lifetime
Core Design Contradiction:
Measurement precisionVSReliability

Solution Approach 1:

The patent applies preliminary thermal analysis during the design phase to identify conductive lines that will experience elevated temperatures due to self-heating and thermal coupling effects. By calculating adjusted temperatures before manufacturing, designers can proactively modify layouts, spacing, or materials to prevent premature failures, rather than discovering reliability issues after device fabrication.

Inventive Principle:
Principle #10Preliminary action

Solution Approach 2:

The patent modifies the temperature parameter used in EM evaluation from nominal or junction temperature to an adjusted temperature that incorporates self-heating and thermal coupling effects. This parameter change reflects the actual operating conditions of conductive lines more accurately, allowing for proper reliability assessment and design optimization to prevent premature failures.

Inventive Principle:
Principle #35Parameter changes

3Measurement precision

If pseudo-3D thermal models are used for temperature calculation, then local temperature accuracy improves, but the simulation runtime increases

Engineering Contradiction:
Improvelocal temperature calculation accuracyVSAvoidsimulation runtime
Core Design Contradiction:
Measurement precisionVSLoss of time

Solution Approach 1:

The patent applies partial thermal analysis by focusing computational resources only on regions where thermal effects are significant - specifically areas with high current density, closely spaced active regions, and conductive lines adjacent to heat-generating structures. This selective approach captures the most critical thermal interactions without performing exhaustive thermal simulation across the entire device, thereby reducing simulation runtime while maintaining local temperature accuracy where it matters most.

Inventive Principle:
Principle #16Partial or excessive action

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 approach provides more accurate local temperature calculations and thermal-aware EM evaluation results, reducing the risk of premature product failure and simulation runtime, while ensuring semiconductor devices meet performance and lifetime expectations.

Implementation Method 1

the movement of the metal atoms resulting from momentum transfer between the electrons passing through the conductive lines and the metal atoms comprising the conductive lines

Methodology Applied
Scientific EffectMomentum transfer: Conservation of Momentum

Implementation Method 2

self-heating effects (SHE), leading to underestimated conductive line operating temperatures

Methodology Applied
Scientific EffectSelf-heating: Joule Heating

Data Source

PatentUS20240394462A1Electromigration evaluation methodology with consideration of both self-heating and heat sink thermal effects
Publication Date: 2024.11.28 TAIWAN SEMICONDUCTOR MANUFACTURING CO LTD
  • US20240394462A1 patent drawing
  • US20240394462A1 patent drawing
  • US20240394462A1 patent drawing

AI summary

An electromigration (EM) sign-off methodology that utilizes a system for analyzing an integrated circuit design layout to identify heat sensitive structures, self-heating effects, heat generating structures, and heat dissipating structures. The EM sign-off methodology includes a memory and a processor configured for calculating adjustments of an evaluation temperature for a heat sensitive structure by calculating the effects of self-heating within the temperature sensitive structure as well as additional heating and/or cooling as a function of thermal coupling to surrounding heat generating structures and/or heat dissipating elements located within a defined thermal coupling volume or range of the heat sensitive structures.