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7 vii GaAs/AlAs 301 CX
8 1 crystal structuregroup theory phononwave vector energy dispersion relation band structure exciton quantum well structuresuperlattice eigenstate GaAsGaPGaSbAlAsInAs ZnSZnSe cubic crystalzincblende structure a basic crystal latticelattice vector // / face centered cubic latticesi Ge diamond structurelattice constant asp
9 2 a a c a b a b hybridization orbitalcovalent bondpoint groupt d Schönflies m Hermann Mauguin space group T d Fm wave function T d T tetragonal d diagonal m r/ m
10 3 GaNAlNInN ZnOCdS hexagonal crystal wurtzite structure b sp GaN epitaxial growth a csp c C v mm C v P mc C v C r/ c v vertical mm mm polar face GaN c c piezoelectric field GaN c In x Ga x N light emitting diodeled recombination luminescence probability c a
11 4 c c a a m a a m non polar face c semipolar face Brillouin zonereciprocal lattice spacewave vector space kr / mm R Bloch functionu k (rr)u k (r) W k (rr) exp[ik(rr)]u k (rr)exp(ikr)exp(ikr)u k (r) exp(ikr)w k (r) R exp(ikr) Blochs theorem
12 5 a b CXL C X D C L K k( ) C C R k x k z L K Q U C D R X R K W a k y A S RL H S D U P T C R M K T b a b polaron Raman scattering spectroscopyinfrared spectroscopy k x k z k y
13 6 M m b al M u l m v l l dul M ul vl ul vl ul vl vl dt b` jb` jb9 ` jc dvl m vl ul vl ul vl ul ul dt b` jb` jb9 ` jc 4 u l v l k ~ u l A exp[i(kx l ~t)]v l B exp[i(k(x l a / )~t)] b M~ b cos_ ka i A f p f p f p b cos_ ka i b m~ B sin _ ka i ~ be ob> e o H M m M m Mm l l l u l v l u l v l u l v l M b m M b m M b m a a/ ~ acoustic phonon~
14 7 optical phonon k ~ k AB A(m / M)B boson harmonic oscillator T ~ n ba f _ Mmi p ph '~ exp e o kt B a E '~e nph o b abose distribution function creation operatora annihilation operatora k ~ k ~ ~ ~ r / a r / a k a n n n a n n n ph ph ph ph ph ph indirect transition typeoptical transition probability
15 8 GaAs neutron scattering method CXLDKR a longitudinal acousticlalongitudinal opticallo transverse acousticta transverse opticalto ggr TA TO THz C D X K R C C K L LO LO TO TO LA LA TA TA g gg ggg GaAs Reprinted with permission Copyright by the American Physical Society
16 181 17, 82, 84 72, , 192, 194, , 274, , 102, , 10, 313 9, 22, 96, 137, 166, 219, 273 3, 5, 9, 23, 166, 168, 203, , , , 122, 229, , 142, 144, 184, 187, 191, , 138, , , 89, , 66, 161, 231, , 233, , 143, 165, 166, 241, 250, 251 LA 40, 315, 316, , , 314, 317 6, 11, , 114, , , 257, , 188, 192, 195, 310, , 32, 64, 65, 69, 73, 88, 96, 137, 161, 165, 167, 169, 171, 176, 183, , 92, , 266, 267, , , 66, 160, 231, , 233, , 143, 165, 166, 241, 250, , 268, , 73, 74, 76 62, 72 7, 21, 84, 86, 191, 192, , 24, 30, 32, 64, 65, 66, 78, 82, 96, 158, , 171, 174, 176, 182, 185, 186, , 22, 23, 24, 30, 32, , , , 43, 94 42, 46, 68, 72, 76, 79, 100, , 79, 94, 116, 250,
17 349 38, , , , 30, , 53, , 51, , , , 69, 71, 183, 186, , 168 ATR 97 7, 21, 63, , , 11, 42, 53, 199, 202, 203, , 217, 218, 219, , 55, , 145, 146, 150, 151, 153, 181, 182, 184, 189, , , 175, , 25, , 218, 236, 237, , 156, 161, 165, 167, 217, 219, , , LO 274, 275, , 24, 115, 148, 210, 227, , , 289 3, , 185, , 223, 224, 226, 227, 235, , , 248, 278, 279, , , , , 102, , , 270, 294, , , 117, 257, , 115, , 107, 108, 116, 258, , 105, 107, 111, , , 140, 155, , , 293, 294, 295, 297, , , 123, 124, , 51, , , , , 48, 50, 66, 68, 96, 97, 102, 109, 112, 154, 165, 212, 250, 269
18 , , 117, 255, 256, 259, , 23, , 96, 158, , , 186, , , , 159, , , , 19, 156, 159, 217, 227, 250, 273 1, 5, 8, 22, 66, 202, 236, , 73, 79, 85, 108, 145, 154, 248, 304, 306, , 74, 82, 85, 131, , , , 63 63, 73, 78, , 112, 124, , 106, 238, , 112, , 105, 107, 110, 111, 112, , , , 243, , , , 304, 306, 307, 309, , 245, 246, , 307, , 234, 252, 253, 255, 256, 259, 263, 265, 269, 270, 272, 276, 277, , 175 LA 8, 40, 314, 317, 318 LO 8, 28, 40, 46, 101, 107, 203, 208, 211, 212, 215, 219, 319, , 46, 58, 94, 97, 98, 127, , 31, 57, 97, 135, 242, , 223, 233, 241, 245, , 83, 105, , , 32, 37, 39, 68, 222, 282, 284, 287, 290, 291, 294, 299, 302, 312, 313, 314, 315, 316, 317, 318, 319, 320, , , 72, 84, 183, , , 275, 276, , 198, , 22, 156, 166, 202, 203, BCS , 191, 192, , 191, 192, 193, 194, , 172, 176, 177, 180, 181, 182, 183, 185, 186, 187, 188, 190, 191, , 99 43, 44, 48
19 , 224, 227, 235, 290, , 33, 64, 65, 69, 73, 88, 96, 161, 167, 171, 176, 183, 194, , 92, , 292, 295, , 162, 283, , 205, 206, , 86, 87 LO 41, 320, , 82, 84 84, 85 42, 83, 84, , , 131, 132, 133, 137, 138, , , 49, , , 208, 209, 210, 313, 315, , 65, 66, 72, 142, 144, 187, 189, 191, , 94, 102, 109, 142, 143, , 112, 117, 128, 148, 259, 260, 265, , 104, , 125, 126, 149, 195, 259, 260, 265, 306, 308, , 105, 106, 110, 116, 119, 126, 130, 146, 147, 151, 185, 188, 189, 191, 192, 193, 194, 195, 256, 263, 272, 304, , 110, 253, 256, 272, , 43, , 95, 97, 98, 101, 119, 126, 253, , , , 184, , , 247, , 20, 24, 31, 72, 159, 165, , 175, , 177, 185 1, 14, 19, , , 228, 230, 242, , , 236, , , 291, , 165, 166, 255, 283, , 161, 162, 255, 283, , , 167, , , , , 97 42, 60 62, 97, , 100, 254, , 215
20 352 63, 73, 77, 88, 91, , 88, 92, 183, , , 39, 50, 197, , 74, , , 113, , 208, 209, , 8, 10, 39, 206, 209, , 74, 76, , , 59, 97 45, , , 53, 54, 197, 211, , , 5, , 288, 296, 297, 298, , 52, 95, , 29 43, 44, 48, , 56, , 193, , 69 32, , 167, , , 96, , , 66, 198, , , 244, , 34, 82, 85, 223, 224, 225, 227, 235, 236, 241, 243, 246, 247, 248, 249, 269, 288, 289, 290, 291, 295, 297, , 310, 311 7, 76, 77, 101, 309 7, 145, , , , 45 5, 28 28, 177, , , 43 38, 292, 293, , , 282, , 284, , 282, 284, 287, 288, , , 282, 296, 312, 314, 315, , , 173, 174, 175, 186, , 207, , 128, 129, 187, 193, 195, , 17, 28, 152, 227, 228, 229, , , 34, 38, 82, 222, , 284, 291, , 26, 35, 223, 233, 234, , , 27, 31, 37, 83, 85, 121, 238, 239, 242, 243, , 44, 46, 48, 49, 50, 53, 54, 100, 163, , 141, 145, 146, 150, 181, 182, 183
21 353 TA 8 TO 8, 203, , 59, 94, 97, 98, 127, , 11, 202, , 201, 207, 209, 210, 314, 315, 316, 317, 318, , 204, 208, 210, 212, 214, 220, 314, 317, 318, 320, , 202, 203, 204, 205, 313, 314, , , 200, 202, 203, 205, , , 117, 255, , 113 1, 32, 36, 222, 228, 236, 242, 243, 247, 248, 249, 250, 251, 254, 255, 258, 262, 263, 268, 273, 275, , , 35, , 280, , , 68, 222, 238, 241, 250, 252, 257, , 234, 236, 237, 248, 268, 269, 271, , 139, 140, 141, 276, 298, 300, , , 262, 268, , 193, , 195 1, 25, 37, 42, 50, 53, 57, 78, 79, 96, 97, 100, 101, 102, 103, 106, 108, 112, 113, 114, 116, 122, 124, 125, 126, 128, 136, 145, 156, 163, 172, 191, 238, 242, 243, 244, 251, 252, 253, 255, 262, 265, 269, 271, 310, , 95, 116, 250, , 117, 128, 148, 260, 265, , 114, 126, 258, , 106, 107, 110, 116, 256, 263, 265, , 253, 256, 272, , 95, 97, 98, 101, 105, 119, 127, 253, , , 153, 154, , 113, 114, 163, 195, 242, , 96, 161, 234, 250, 254, , 31, 37, 79, 98, 121, 146, 151, 156, 173, 239, 241, 242, 272, 293, , 143, , 145, , 141, , 81, 102, , 121, 122, 123, 124, 125, 126, 127, 128, 129, 131, 132, 133, 137, 138, 139, 140, 141, 191, 193, 238, 264, 273, 276, 308, 310, 311 BRHPS 133, 134, , 122, 123, 124, 126, 130, 133, 138, 139, 193, 262, 263, 264, 277, , 125, 126, 127, 128, 132, 134, 135, 146, 185, 262, 263, 272, , 276, , , 42, 55, 56, 57, 58, 60, 94, 95, 118, 120, 133, 134, , 118, , 57, , , 173, , 274, 275, , 141, 142, 145, 146, 151, 180, 272
22 , 148, 152, 185, , 124, 128, 309, 311, , 151, 190, 191, 280, , , , 287, 292, 293, , 290, 291, 293, 294, 297, 298, 299, 300, A Airy 235 Anderson 115, 255 A 30, 94, 97, 98, 99, 104, 105, 110, 137, 138, 141, 146, 147, 151, 169 B BeniRice 178, 180 BernardDuraffourg 184 B 30, 94, 97, 98, 99, 105, 110, 137, 138, 141, 169 C ClausiusMossotti 48 C 30, 97, 169 D DALAdisorder activated LA 211 DATAdisorder activated TA 211 DebyeHükel 173, 175 DebyeHükel 173 Drude 54 E Elliott 79 F FermiDirac 188 FranzKeldysh 284, 286, 287, 293 Fröhlich 28 Fröhlich 202, 204, 205, 320, 323 H Haynes 106, 262, 309 HermannMauguin 2 P pseudomorphic 164, 243 R RoosbroeckShockley 42, 87, 89 S K Koster 22 Schönflies sp 2 1 kp 66, 157, 167, 228 L Landsberg 189 LO 107, 108, 109, 194, 304 T ThomasFermi 173 U UrbachMartienssen 80 V LO 101, 118, 252, 280, 298 LO van Hove Varshni VashishtaKalia , 99 LOPC 197, 211, 212, 213, 214, 215, 216 Vegard 176, , 164 LO 107 VSLvariable stripe length LuttingerKohn 150, , 230, 232, 233 Luttinger 231 LyddaneSachsTeller 51, 211 C CX CX 304, , 306 M CX 301, 303 Mulliken 10, 22 CX 194
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