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1 Basics of the Einstein Relation |
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1 | |
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1 | |
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1.2 Generalized Formulation of the Einstein Relation for Multi-Band Semiconductors |
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2 | |
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1.3 Suggestions for the Experimental Determination of the Einstein Relation in Semiconductors Having Arbitrary Dispersion Laws |
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4 | |
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7 | |
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8 | |
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2 The Einstein Relation in Bulk Specimens of Compound Semiconductors |
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13 | |
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2.1 Investigation on Tetragonal Materials |
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13 | |
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13 | |
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2.1.2 Theoretical Background |
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14 | |
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2.1.3 Special Cases for IIIV Semiconductors |
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16 | |
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2.1.4 Result and Discussions |
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19 | |
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2.2 Investigation for IIVI Semiconductors |
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26 | |
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26 | |
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2.2.2 Theoretical Background |
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27 | |
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2.2.3 Result and Discussions |
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28 | |
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2.3 Investigation for Bi in Accordance with the McClureChoi, the Cohen, the Lax, and the Parabolic Ellipsoidal Band Models |
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29 | |
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29 | |
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2.3.2 Theoretical Background |
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29 | |
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2.3.3 Result and Discussions |
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33 | |
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2.4 Investigation for IVVI Semiconductors |
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34 | |
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34 | |
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2.4.2 Theoretical Background |
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34 | |
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2.4.3 Result and Discussions |
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35 | |
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2.5 Investigation for Stressed Kane Type Semiconductors |
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35 | |
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35 | |
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2.5.2 Theoretical Background |
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36 | |
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2.5.3 Result and Discussions |
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37 | |
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38 | |
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2.7 Open Research Problems |
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38 | |
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48 | |
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3 The Einstein Relation in Compound Semiconductors Under Magnetic Quantization |
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51 | |
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51 | |
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3.2 Theoretical Background |
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52 | |
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3.2.1 Tetragonal Materials |
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52 | |
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3.2.2 Special Cases for IIIV, Ternary and Quaternary Materials |
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56 | |
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3.2.3 IIVI Semiconductors |
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63 | |
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3.2.4 The Formulation of DMR in Bi |
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65 | |
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75 | |
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3.2.6 Stressed Kane Type Semiconductors |
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75 | |
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3.3 Result and Discussions |
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77 | |
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3.4 Open Research Problems |
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95 | |
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104 | |
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4 The Einstein Relation in Compound Semiconductors Under Crossed Fields Configuration |
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107 | |
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107 | |
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4.2 Theoretical Background |
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108 | |
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4.2.1 Tetragonal Materials |
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108 | |
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4.2.2 Special Cases for IIIV, Ternary and Quaternary Materials |
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112 | |
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4.2.3 IIVI Semiconductors |
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116 | |
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4.2.4 The Formulation of DMR in Bi |
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118 | |
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127 | |
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4.2.6 Stressed Kane Type Semiconductors |
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127 | |
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4.3 Result and Discussions |
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130 | |
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4.4 Open Research Problems |
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150 | |
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155 | |
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5 The Einstein Relation in Compound Semiconductors Under Size Quantization |
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157 | |
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157 | |
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5.2 Theoretical Background |
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158 | |
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5.2.1 Tetragonal Materials |
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158 | |
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5.2.2 Special Cases for IIIV, Ternary and Quaternary Materials |
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159 | |
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5.2.3 IIVI Semiconductors |
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162 | |
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5.2.4 The Formulation of 2D DMR in Bismuth |
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163 | |
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169 | |
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5.2.6 Stressed Kane Type Semiconductors |
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173 | |
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5.3 Result and Discussions |
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174 | |
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5.4 Open Research Problems |
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189 | |
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195 | |
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6 The Einstein Relation in Quantum Wires of Compound Semiconductors |
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197 | |
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197 | |
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6.2 Theoretical Background |
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198 | |
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6.2.1 Tetragonal Materials |
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198 | |
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6.2.2 Special Cases for IIIV, Ternary and Quaternary Materials |
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199 | |
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202 | |
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6.2.4 The Formulation of 1D DMR in Bismuth |
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203 | |
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207 | |
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6.2.6 Stressed Kane Type Semiconductors |
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210 | |
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211 | |
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6.3 Result and Discussions |
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212 | |
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6.4 Open Research Problems |
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227 | |
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231 | |
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7 The Einstein Relation in Inversion Layers of Compound Semiconductors |
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235 | |
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235 | |
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7.2 Theoretical Background |
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236 | |
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7.2.1 Formulation of the Einstein Relation in n-Channel Inversion Layers of Tetragonal Materials |
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236 | |
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7.2.2 Formulation of the Einstein Relation in n-Channel Inversion Layers of IIIV, Ternary and Quaternary Materials |
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241 | |
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7.2.3 Formulation of the Einstein Relation in p-Channel Inversion Layers of IIVI Materials |
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248 | |
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7.2.4 Formulation of the Einstein Relation in n-Channel Inversion Layers of IVVI Materials |
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250 | |
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7.2.5 Formulation of the Einstein Relation in n-Channel Inversion Layers of Stressed IIIV Materials |
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255 | |
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7.3 Result and Discussions |
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260 | |
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7.4 Open Research Problems |
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272 | |
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277 | |
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8 The Einstein Relation in Nipi Structures of Compound Semiconductors |
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279 | |
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279 | |
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8.2 Theoretical Background |
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280 | |
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8.2.1 Formulation of the Einstein Relation in Nipi Structures of Tetragonal Materials |
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280 | |
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8.2.2 Einstein Relation for the Nipi Structures of IIIV Compounds |
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281 | |
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8.2.3 Einstein Relation for the Nipi Structures of IIVI Compounds |
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283 | |
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8.2.4 Einstein Relation for the Nipi Structures of IVVI Compounds |
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285 | |
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8.2.5 Einstein Relation for the Nipi Structures of Stressed Kane Type Compounds |
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288 | |
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8.3 Result and Discussions |
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289 | |
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8.4 Open Research Problems |
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295 | |
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298 | |
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9 The Einstein Relation in Superlattices of Compound Semiconductors in the Presence of External Fields |
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301 | |
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301 | |
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9.2 Theoretical Background |
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302 | |
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9.2.1 Einstein Relation Under Magnetic Quantization in IIIV Superlattices with Graded Interfaces |
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302 | |
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9.2.2 Einstein Relation Under Magnetic Quantization in IIVI Superlattices with Graded Interfaces |
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304 | |
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9.2.3 Einstein Relation Under Magnetic Quantization in IVVI Superlattices with Graded Interfaces |
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307 | |
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9.2.4 Einstein Relation Under Magnetic Quantization in HgTe/CdTe Superlattices with Graded Interfaces |
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310 | |
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9.2.5 Einstein Relation Under Magnetic Quantization in IIIV Effective Mass Superlattices |
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312 | |
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9.2.6 Einstein Relation Under Magnetic Quantization in IIVI Effective Mass Superlattices |
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314 | |
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9.2.7 Einstein Relation Under Magnetic Quantization in IVVI Effective Mass Superlattices |
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315 | |
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9.2.8 Einstein Relation Under Magnetic Quantization in HgTe/CdTe Effective Mass Superlattices |
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316 | |
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9.2.9 Einstein Relation in IIIV Quantum Wire Superlattices with Graded Interfaces |
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318 | |
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9.2.10 Einstein Relation in IIVI Quantum Wire Superlattices with Graded Interfaces |
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319 | |
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9.2.11 Einstein Relation in IVVI Quantum Wire Superlattices with Graded Interfaces |
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321 | |
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9.2.12 Einstein Relation in HgTe/CdTe Quantum Wire Superlattices with Graded Interfaces |
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323 | |
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9.2.13 Einstein Relation in IIIV Effective Mass Quantum Wire Superlattices |
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324 | |
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9.2.14 Einstein Relation in IIVI Effective Mass Quantum Wire Superlattices |
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326 | |
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9.2.15 Einstein Relation in IVVI Effective Mass Quantum Wire Superlattices |
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327 | |
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9.2.16 Einstein Relation in HgTe/CdTe Effective Mass Quantum Wire Superlattices |
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328 | |
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9.3 Result and Discussions |
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329 | |
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9.4 Open Research Problems |
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333 | |
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339 | |
10 The Einstein Relation in Compound Semiconductors in the Presence of Light Waves |
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341 | |
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341 | |
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10.2 Theoretical Background |
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342 | |
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10.2.1 The Formulation of the Electron Dispersion Law in the Presence of Light Waves in III-V, Ternary and Quaternary Materials |
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342 | |
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10.2.2 The Formulation of the DMR in the Presence of Light Waves in III-V, Ternary and Quaternary Materials |
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352 | |
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10.3 Result and Discussions |
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354 | |
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10.4 The Formulation of the DMR in the Presence of Quantizing Magnetic Field Under External Photo-Excitation in III-V, Ternary and Quaternary Materials |
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360 | |
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10.5 Theoretical Background |
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361 | |
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10.6 Result and Discussions |
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363 | |
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10.7 The Formulation of the DMR in the Presence of Cross-Field Configuration Under External Photo-Excitation in III-V, Ternary and Quaternary Materials |
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372 | |
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10.8 Theoretical Background |
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372 | |
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10.9 Result and Discussions |
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376 | |
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10.10 The Formulation of the DMR for the Ultrathin Films of III-V, Ternary and Quaternary Materials Under External Photo-Excitation |
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379 | |
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10.11 Result and Discussions |
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387 | |
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10.12 The Formulation of the DMR in QWs of III-V, Ternary and Quaternary Materials Under External Photo-Excitation |
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389 | |
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10.13 Result and Discussions |
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398 | |
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401 | |
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10.15 Open Research Problem |
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402 | |
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407 | |
11 The Einstein Relation in Heavily Doped Compound Semiconductors |
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413 | |
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413 | |
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11.2 Theoretical Background |
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414 | |
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11.2.1 Study of the Einstein Relation in Heavily Doped Tetragonal Materials Forming Gaussian Band Tails |
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414 | |
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11.2.2 Study of the Einstein Relation in Heavily Doped IIIV, Ternary and Quaternary Materials Forming Gaussian Band Tails |
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423 | |
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11.2.3 Study of the Einstein Relation in Heavily Doped IIVI Materials Forming Gaussian Band Tails |
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426 | |
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11.2.4 Study of the Einstein Relation in Heavily Doped IVVI Materials Forming Gaussian Band Tails |
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428 | |
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11.2.5 Study of the Einstein Relation in Heavily Doped Stressed Materials Forming Gaussian Band Tails |
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432 | |
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11.3 Result and Discussions |
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435 | |
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11.4 Open Research Problems |
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439 | |
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447 | |
12 Conclusion and Future Research |
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449 | |
Materials Index |
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453 | |
Subject Index |
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455 | |