Preface |
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xi | |
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1 Introduction to Electromigration |
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1 | (7) |
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5 | (3) |
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2 Fundamentals of Electromigration |
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8 | (26) |
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8 | (1) |
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2.2 Thermodynamic Description of Electromigration |
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8 | (2) |
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2.3 Kinetic Analysis of Solute Effect on EM in Binary Alloys |
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10 | (5) |
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2.4 Theory of Electromigration |
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15 | (4) |
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2.5 Electromigration in Bulk Materials |
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19 | (10) |
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29 | (1) |
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29 | (5) |
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3 Thermal Stress Characteristics and Stress-Induced Void Formation in Aluminum and Copper Interconnects |
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34 | (46) |
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3.1 Technology Impact and Stress Effect on Electromigration |
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34 | (4) |
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3.2 Effect of Passivation on Thermal Stress Characteristics in Interconnect Lines |
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38 | (3) |
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3.3 Thermal Stress Measurements by X-Ray Diffraction for Passivated Metal Lines |
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41 | (7) |
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3.4 Thermal Stress Characteristics and Effect of Dielectric Passivation on Cu Damascene Lines |
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48 | (7) |
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3.5 Stress Relaxation and Stress-Induced Void Formation in Passivated Al Lines |
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55 | (7) |
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3.6 Stress Relaxation and Passivation Effects in Cu Damascene Films and Lines |
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62 | (8) |
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3.7 Stress-Induced Void Formation in Cu Damascene Line Structures |
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70 | (4) |
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74 | (1) |
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75 | (5) |
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4 Stress Evolution and Damage Formation in Confined Metal Lines under Electric Stressing: 1D Analysis |
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80 | (47) |
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80 | (1) |
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4.2 Kinetics of EM-Induced Mass Transport and Stress Evolution in Confined Metal Lines |
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81 | (6) |
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4.3 Kinetics of EM-Induced Evolution of Vacancy Distribution in Interconnect Segments |
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87 | (1) |
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4.4 EM-Induced Stress Evolution in a Confined Metal Line: Korhonen's Equation |
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88 | (5) |
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4.5 Analytical Solutions for the ID Korhonen Equation |
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93 | (4) |
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4.6 Critical Stress for Void Formation |
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97 | (2) |
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4.7 An Approximate Derivation of the Void Nucleation Time |
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99 | (4) |
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4.8 Postvoiding Stress and Void Size Evolutions in Confined Metal Lines |
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103 | (6) |
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4.9 Voiding-Induced Degradation of Resistance of Metal Lines |
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109 | (2) |
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4.10 EM-Induced Void Migration |
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111 | (3) |
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4.11 Effect of Metal Microstructure on EM-Induced Stress Evolution: ID Modeling |
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114 | (5) |
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119 | (1) |
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120 | (7) |
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5 Electromigration in Cu Interconnect Structures |
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127 | (76) |
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127 | (2) |
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129 | (2) |
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131 | (4) |
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5.4 Mass Transport and Damage Formation in Cu Damascene Structures |
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135 | (28) |
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5.5 The Blech Short-Length Effect |
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163 | (1) |
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5.6 EM Lifetime Scaling Rule |
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164 | (2) |
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5.7 Methods to Improve EM Reliability of the Cu Interconnect |
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166 | (27) |
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5.8 EM through Various Technology Nodes |
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193 | (2) |
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195 | (1) |
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196 | (7) |
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6 Scaling Effects on Microstructure of Cu and Co Nanointerconnects |
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203 | (48) |
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203 | (1) |
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6.2 Precession Electron Diffraction Microscopy |
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204 | (4) |
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6.3 Scaling Effect on the Microstructure of Cu Interconnects |
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208 | (11) |
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6.4 Scaling Effect on the Microstructure of Co Interconnects |
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219 | (6) |
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6.5 Monte Carlo Simulation of the Microstructure Evolution in Nanointerconnects |
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225 | (9) |
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6.6 Simulation Results for Copper Interconnects |
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234 | (5) |
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6.7 Simulation Results for Cobalt Interconnects |
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239 | (3) |
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6.8 Simulated Bamboo--Polygrain Structures and Implications for EM Reliability |
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242 | (3) |
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245 | (2) |
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247 | (4) |
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7 Analysis of Electromigration-lnduced Stress Evolution and Voiding in Cu Damascene Lines with Microstructure |
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251 | (87) |
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251 | (1) |
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7.2 EM-Induced Mass Transport |
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252 | (2) |
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7.3 Evolution of Vacancy and Plated Atom Concentrations in a 3D Confined Metal Line under Electric Current Stressing |
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254 | (5) |
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7.4 Volumetric Stress Generated by Vacancies and Plated Atoms in a Confined Metal Line |
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259 | (4) |
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7.5 Evolution of Stress and Vacancy-Plated Atom Concentrations in a Prevoiding State |
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263 | (3) |
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7.6 Major Approaches to Modeling EM-Induced Stress Evolution in Interconnects |
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266 | (6) |
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7.7 Effect of Microstructure on EM-Induced Degradation in Dual-Damascene Copper Interconnects |
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272 | (22) |
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7.8 Experimental Studies of EM-Induced Voiding in Interconnects |
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294 | (8) |
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7.9 Modeling of EM-Induced Void Motion and Shape Evolution |
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302 | (4) |
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7.10 Numerical Techniques |
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306 | (19) |
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7.11 EM-Induced Evolution of Stress-Induced Voids (SIV) |
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325 | (4) |
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329 | (1) |
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330 | (8) |
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8 Massive-Scale Statistical Studies for Electromigration |
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338 | (42) |
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8.1 Requirement for Massive Statistical EM Tests |
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338 | (1) |
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8.2 Wheatstone Bridge Technique for Al Interconnects |
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339 | (15) |
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8.3 Statistical Tests and Analysis for Cu Interconnects |
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354 | (19) |
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8.4 Implications for EM Reliability |
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373 | (2) |
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375 | (5) |
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9 Assessment of Electromigration Damage in Large On-Chip Power Grids |
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380 | (34) |
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380 | (1) |
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9.2 Problems with the Standard Weakest Link Approximation for On-Chip Power Grid EM Assessment |
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380 | (10) |
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9.3 EM Assessment of Power Grids Based on Physical Modeling |
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390 | (1) |
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9.4 EM Induced Stress Evolution under AC and Pulse Current Loads |
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391 | (6) |
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9.5 On-Chip Power/Ground EM Assessment |
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397 | (12) |
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409 | (1) |
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410 | (4) |
Index |
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414 | |