Abstract

Potential challenges with managing mechanical stress and the consequent effects on device performance for advanced three-dimensional (3-D) IC technologies are outlined. The growing need in a simulation-based design verification flow capable of analyzing a design of 3-D IC stacks and detecting across-die out-of-spec variations in MOSFET electrical characteristics caused by the die thinning and stacking-induced mechanical stress is addressed. The development of a multiscale simulation methodology for managing mechanical stresses during a sequence of designs of 3-D IC dies, stacks, and packages is focused. A set of physics-based compact models for a multiscale simulation is proposed to assess the mechanical stress across the device layers in silicon chips stacked and packaged with the 2.5D interposer-based, and true 3-D through silicon via-based technology. A simulation flow is developed for the hot-spot checking in different types of devices/circuits such as digital, analog, analog matching, memory, IO, characterized by different sensitivities to the stress-induced mobility variations. A calibration technique based on fitting to measured electrical characteristics of the test-chip devices is presented. The limited characterization or measurement capabilities for 3-D IC stacks and a strict “good die” requirement make this type of analysis critical in order to achieve an acceptable level of functional and parametric yield.

Highlights

  • It is a common understanding that the motivation for 3-D IC integration is a mixture of economic and technical requirements, summarized within the term “More than Moore.”[1,2,3] Three-dimensional (3-D) IC stacking technologies, employing thinned wafer/through silicon via (TSV) structures, are novel solutions that result in reduced floor space, higher bandwidth, and reduced energy consumption

  • This paper describes the recently developed physicsbased simulator that predicts variation in transistor’s electrical characteristics, caused by chip–package interaction (CPI)

  • The tool is capable of analyzing any 3-D IC die stack design with regard to out-of-spec variations in device electrical characteristics caused by mechanical stress generated by warpages of the stacked dies, by solder bumps pressure generated in a course of die stacking, as well as by mismatch of thermomechanical properties of TSV and silicon die bulk

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Summary

Introduction

It is a common understanding that the motivation for 3-D IC integration is a mixture of economic and technical requirements, summarized within the term “More than Moore.”[1,2,3] Three-dimensional (3-D) IC stacking technologies (including 2.5D interposer-based approaches), employing thinned wafer/through silicon via (TSV) structures, are novel solutions that result in reduced floor space, higher bandwidth, and reduced energy consumption. Due to thin die bending; bump and TSV scale (i.e., 10 to 100 μm) local stress variations, which are induced by the package component assembly; device scale (10 to 100 nm) variations due to transistor layer nonuniformity Traditional methods such as finite-difference analysis and finite-element analysis (FEA) cannot be employed for a simulation of the transistor channel stress distribution across a die due to the size of a model, which can reach hundreds of millions degrees of freedom. Details of chip structures (layer information, layout, etc.) have not been considered, and the problem with calculating the transistor-to-transistor intrachannel stress variation and consequent variation in transistor electrical characteristics has not been addressed yet.[6] In order to be able to consider these effects, the stress simulation methodology should be capable to resolve scales of the order of a transistor size (approximately nanometers) and, to account for all major internal (layout-induced) and external (e.g., packaging) stress sources affecting a particular device. The simulator provides an interface between layout formats (GDS II, OASIS) and FEA-based package-scale models

Simulation Methodology
Package-Scale FEA-Based Simulation
Compact Model for Bump-Induced Displacements
Compact Model for TSV-Induced Stress
Simulation of the Transistor Intrachannel Stress Components
Stress-Induced Variation in Device Electrical Characteristics
Outline of the Calibration and Validation Procedures
Hot-Spot Analysis
Conclusions
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