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References
Chapter 1
1. J.H. van Vleck: Theory of Electric and Magnetic Susceptibilities (Oxford University Press, 1932) p. 1
2. K. Cho: Prog. Theor. Phys. Suppl. 106 (1991) 225 3. M. Born and K. Huang: Dynamical Theory of Crystal Lattices (Clarendon
Press, 1954) Sect. 19 4. H.A. Lorentz: The Theory of Electrons (Leipzig, 1916) 5. S.l. Pekar: Zh. Eksp. Teor. Fiz. 33 (1957) 1022 [Sov. Phys. JETP 6 (1957)
785] 6. J.L. Birman: Excitons, ed. by E.l. Rashba and M.D. Sturge (North Holland,
1982) p. 72 7. P. HaIevi: Spatial Dispersion in Solids and Plasmas, ed. by P. Halevi (Else
vier, 1992) p. 339 8. V.M. Agranovich and V.L. Ginzburg: Crystal Optics and Spatial Dispersion,
and Excitons (Springer, 1984) 9. F. Forstmann and R.R. Gerhardts: Metal Optics Near the Plasma Frequency
(Springer, 1986) 10. C. Cohen-Tannoudji, J. Dupont-Roc, and G. Grynberg: Photons and Atoms:
Introduction to Quantum Electrodynamics (Wiley, 1989) Chap. 1 11. Y. Toyozawa: The Physics of Elementary Excitations, ed. by S. Nakajima,
Y. Toyozawa, and R. Abe (Springer, 1980) Chap. 2 12. K. Ehara and K. Cho: Solid State Commun. 44 (1982) 453 13. K. Cho: Proc. 14th Int. Conf. on Physics of Semiconductors, Edinburgh 1978,
ed. by B.L.H. Wilson (Institute of Physics, Bristol and London) p. 841 14. K. Cho: J. Phys. Soc. Jpn. 68 (1999) 683 15. O. Keller: Phys. Rep. 268 (1996) 85 16. A. Stahl and 1. Balslev: Electrodynamics of the Semiconductor Band Edge,
Springer Tract in Mod. Phys. 110 (Springer, 1987) 17. See, for example, G. Czajkowski, M. Dressler, and F. Bassani: Phys. Rev. B
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164 References
Chapter 2
18. W. Heitler: The Quantum Theory of Radiation, 3rd edn. (Clarendon Press, Oxford, 1954)
19. L.D. Landau and E.M. Lifshitz: Quantum Mechanics: Nonrelativistic Theory, 3rd edn. (Perg.trnon, 1977), Sect. 115
20. Y. Ohfuti and K. Cho: Phys. Rev. B 52 (1995) 4828; Errata: J. Lurnin. 66/67 (1996) 94
21. S. Nakajirna: Prog. Theor. Phys. 20 (1958) 948; R. Zwanzig: J. Chern. Phys. 33 (1960) 1338; H. Mori: Prog. Theor. Phys. 33 (1965) 423
Chapter 3
22. R. Fuchs, KL. Kliewer, and W.J. Pardee: Phys. Rev. 150 (1966) 589 23. R.R. Chance, A. Prock, and R. Silbey: J. Chern. Phys. 60 (1974) 2744 24. S. Haroche anel D. Kleppner: Phys. Today (Am. Inst. Phys.) 1 (1989) 24 and
references therein 25. R.K Chang and A.J. Campillo: Optical Processes in Microcavities (World
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densed Matter. Boston 1998, ed. by R.T. Willians and W.M. Yen (The Electrochernical Society, Pennington, NJ, 1999) pp. 262~237.
34. T. Takagahara: Phys. Rev. B 47 (1993) 4569 35. L.E. Brus: J. ehern. Phys. 80 (1984) 4403 36. Y. Kayanurna: Phys. Rev. B 38 (1988) 9797 37. H. Ajiki and K. Cho: Phys. Rev. B 62 (2000) 7402 38. R. Ruppin: J. Phys. Chern. Solids 50 (1989) 877 39. A.1. Ekirnov, A.A. Onushchenko, M.E. Raikh, and A.L. Efros: Zh. Eksp.
Teor. Fiz. 90 11986) 1795 [Sov. Phys. JETP 63 (1986) 1054] 40. K Cho and J. Ushida: Proc. Int. Syrnp. on Elementary Processes in Exci
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41. O. Keller, M. Xiao, and S. Bozhevolnyi: Surf. Sei. 280 (1993) 217 42. J. Ushida: PhD Thesis (Osaka University, 1999) 43. J. Ushida, T. Ohta, and K Cho: J. Phys. Soc. Jpn. 68 (1999) 2439 44. H. Haken: Laser TheoTY (Springer-Verlag, Heidelberg, 1984) p. 89 45. Y. Ohfuti, H. Fukutorne, and K Cho: J. Lurnin. 72~74 (1997) 867 46. T. Minarni, K Sekine, H. Ajiki, and K Cho: J. Lurnin. 87~89 (2000) 378 47. R.J. Glauber: Phys. Rev Lett. 10 (1963) 84; Phys. Rev. 130 (1963) 2529;
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conductors, Boston 2002, ed. by A.A. Efros, to be published 60. E.I. Rashba and G.E. Gurgenishvili: Sov. Phys. Solid State 4 (1962) 759 61. C.H. Henry and K. Nassau: Phys. Rev. B 1 (1970) 1628 62. E. Hanamura: Solid State Commun. 12 (1973) 951 63. T. Itoh, M. Furuyama, T. Ikehara, and C. Gourdon: Solid State Commun.
73 (1990) 271 64. Z.K. Tang, A. Yanase, T. Yasui, Y. Segawa, and K. Cho: Phys. Rev. Lett.
71 (1993) 1431 65. K. Cho, H. Ishihara, and T. Okada: Proc. Int. Meeting on Optics oi Excitons
in Confined Systems, ed. by A. D'Andrea, R. Dei Sole, R. Girlanda, and A. Quattropani, Inst. Phys. Conf. Series 123, p. 17
66. H. Ishihara and K. Cho: Phys. Rev. B 41 (1990) 1724 67. H. Ishihara and K. Cho: J. Nonlin. Opt. Phys. 1 (1992) 287 68. F.C. Spano and S. Mukamel: Phys. Rev. A40 (1989) 5783 69. F.C. Spano and S. Mukamel: Phys. Rev. Lett. 66 (1991) 1197
Chapter 4
70. H. Ishihara and K. Cho: Solid State Commun. 89 (1994) 837 71. H. Ishihara and K. Cho: Phys. Rev. B 53 (1996) 15823 72. Y. Ohfuti and K. Cho: Phys. Rev. B 51 (1995) 14379 73. M. Orrit, C. Aslangul, and P. Kottis: Phys. Rev. B 25 (1982) 7263 74. J.J. Hopfield and D.G. Thomas: Phys. Rev. 132 (1963) 563 75. Z.K. Tang, A. Yanase, Y. Segawa, N. Matsuura, and K. Cho: Phys. Rev. B
52 (1995) 2640 76. C.F. Bohren and D.R. Huffman: Absorption and Scattering oi Light by Small
Particles, (John Wiley, New York, 1983) 77. K. Cho, M. Nishida, Y. Ohfuti, and L. Belleguie: J. Lumin. 60/61 (1994)
330 78. M. Nishida: MSc. Thesis (Osaka University, 1993, in Japanese) 79. H. Ajiki, T. Tsuji, K. Kawano, and K. Cho: Phys. Rev. B 66 (2002) 245322 80. E. Gerdau, R. Rüffer, H. Winkler, W. Tolksdorf, C.P. Klages, and J.P. Han
non: Phys. Rev. Lett. 54 (1985) 835; W. Sturhahn and E. Gerdau: Phys. Rev. B 49 (1994) 9285
81. G. Birkl, M. Gatzke, I.H. Deutsch, S.L. Roiston, and W.D. Phillips: Phys. Rev. Lett. 75 (1995) 2823; M. Weidemüller, A. Hemmerich, A. Görlitz, T. Esslinger, and T. Hänsch: Phys. Rev. Lett. 75 (1995) 4583
82. K. Cho and T. Arakawa: Mater. Sci. Eng. B 48 (1997) 71
166 Referenees
8:3. T. Ikawa and K. Cho: J. Lumin. 87/89 (2000) :305; K. Cho and T. Ikawa: phys. stat. sol (b) 215 (1999) 281
84. T. Ikawa and K. Cho: J. Phys. Soe. Jpn. 71 (2002) 1:381 85. T. Ikawa and K. Cho: Phys. Rev. B 66 (2002) 085:3:38 86. E.L. Ivehenko, A.1. Nesvizhskii, and S. Jorda: Fiz. Tverd. Tela (St. Peters-
burg) 36 (1994) 2118 [Phys. Solid State 36 (1994) ll56] 87. See, for example, H. Haken: Light (North Holland, 1981) Vol. 1, Chap. 9 88. M. Narasehewski and A. Sehenzle: Z. Physik D 33 (1995) 79 89. A. Ohishi: MSc. Thesis (Osaka University, 1996) 90. See, for example, A.J. Campillo, J.D. Eversole, and H-B. Lin: Phys. Rev.
Lett. 67 (1991) 4:37 91. J. Ushida, T. Ohta, and K. Cho: J. Phys. Soe. Jpn. 68 (1999) 24:39 92. M. Shinada and S. Sugano: J. Phys. Soe. Jpn. 21 (1966) 1936 9:3. Y. Masumoto, M. Matsuura, S. Tarueha, and H. Okamoto: Phys. Rev. B 32
(1985) 4275 94. M. Matsuura and Y. Shinozuka: J. Phys. Soe. Jpn. 53 (1984) 3138; G. Bas
tard, E.E. Mendez, L.L. Chang, and L. Esaki: Phys. Rev. B 26 (1982) 1974 95. N. Oehi, T. Shiotani, M. Yamanishi, Y. Honda, and 1. Suemune: Appl. Phys.
Lett. 58 (1991) 2735 96. Y. Yamamoto, S. Maehida, K. Igeta, and G. Björk: Coherenee, Amplification
and Quantum Effects in Semiconductor Lasers, ed. by Y. Yamamoto (Wiley, New York, 19(1) p. 561
97. C. Weisbuch, M. Nishioka, A. Ishikawa, and Y. Arakawa: Phys. Rev. Lett. 69 (1992) 3314
98. E.T. Jaynes and F.W. Cummings: Proe. IEEE 51 (1963) 89 99. G.S. Agarwal: J. Opt. Soe. Am. 2 (1985) 480
100. M. Kuwata-Gonokami, S. Inoue, H. Suzuura, M. Shirane, and R. Shimano: Phys. Rev. Lett. 79 (1997) 1341
101. P.G. SavviddiH, J.J. Baumberg, R.M. Stevenson, M.S. Skolnick, D.M. Whittaker, and J.S. Roberts: Phys. Rev. Lett. 84 (2000) 1547; Phys. Rev. B 64 (2001) 75311
102. A.L. Ivanov and L.V. Keldysh: Zh. Eksp. Teor. Fiz. 84 (1983) 404 [Sov. Phys. JETP 57 (1983) 234]
103. A.L. Ivanov and P.B. Littlewood: Phys. Rev. Lett. 87 (2001) 136403 104. M. Nieto-Vesperinas and N. Gareia (Eds.): Optics at the Nanometer Scale,
NATO ASI Series E31!~ (Kluwer Aeademic, Dordreeht, 1996) 105. S. Kawata, M. Ohtsu, and M. Irie (Eds.): Nano-Optics (Springer, 2002) 106. See, for example, T. Sugiura and T. Okada: Proe. SPIE, 3260 (1998) 4 107. F. Zenhausern, Y. Maartin, and H.K. Wiekramashinge: Scienee 269 (1995)
1083 108. S. Kawata, K. Tanaka, and N. Takahashi: referenee [105], Chap. 2 109. E. Betzig and J.K. Trautmann: Scienee 257 (1992) 189 llO. U. Ch. Fischer and D.W. Pohl: Phys. Rev. Lett. 23 (1989) 458 111. K. Cho, Y. Obfuti, and K. Arima: Jpn. J. Appl. Phys. 34, Suppl. 34-1 (1995)
267 112. J. Ushida and K. Cho: Mol. Cryst. Liq. Cryst. 314 (1998) 215 113. J. Ushida: PhD. Thesis (Osaka University, 1999) 114. K. Cho, Y. Ohfuti, and K. Arima: Surf. Sei. 363 (1996) 378 115. H.S. Sözüer and J.W. Haus: Phys. Rev. B 45 (1992) 13962 ll6. K.M. Ho, C.T. Chan, and C.M. Soukoulis: Phys. Rev. Lett. 65 (1990) 3152 117. H.S. Sözüer and J.W. Haus: J. Opt. Soe. Am. 10 (1993) 296
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119. K. Cho and T. Ikawa: phys. stat. sol. (a) 190 (2002) 401 120. K. Cho, T. Hirai, and T. Ikawa: J. Lumin. 100 (2002) 269
Chapter 5
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(2003) in print
Index
ABC-free framework 58, 60, 86 additional boundary condition (ABC)
5, 57, 82 adiabatic switch-on 19, 24
background dielectric 42, 47
- dielectric constant 59 - susceptibility 42, 45 Bragg - condition 131 - diffraction 100
cancellation 61, 64 cavity polariton 117 cavity QED 38 center of mass 76 charge density 7, 13 - operator 18 Clebsch-Gordan coefficient 93 coarse graining procedure 26 coherent - length 63, 86 - state 56 - wave approach 11 commutation relation 56 complete set 108 complex roots 34 configuration resonance 123, 126 conservation rules 100 continuity equation 13, 18 Coulomb gauge 7, 13 current density 7, 13 - operator 18
dead layer model 85 decay - channel 101 - rate 108 density matrix 18 depolarization 15 - field 9
DFWM 153 dielectric sphere 90 dipole selection rule 88 dispersion 50 - equation 132 distributed Bragg refiector (DBR) 115 double counting 9, 27, 70 double enhancement 143 dyadic Green function 55
eigenvalue equation 52 electric dipole transition 34, 125, 138 electron-hole - attraction 47 - exchange interaction 9, 40 ensemble average 28 ensemble of photons 56 envelope function 63 even parity 78 extended Lorentz picture 10
Fabry-Perot interference 36, 90 far field 74, 77, 102 feedback 159 Fermi statistics 61 fiuctuation-dissipation theorem 107 forbidden gap 38 four-wave mixing 153 free boson 61 Frenkel exciton 67, 75
gap mode 132 generalized coordinates 7 generalized radiative correction 40,
47, 97 giant oscillator strength 62, 74 golden rule 75, 107 Green function 14 - dyadic 55 - radiation 38 - renormalized 44, 46, 47, 85, 97, 112 guiding principle 74
170 Index
harmonie oscillator 61 heat bath 27 higher multipole 122 homogeneous equation 119 hysteresis effect 15H
image charge 93 incident field 14 indicator of coupling strength 50 induced
charge density 8, 15, 39 - current density 26, 29 - polarization 45 initial - condition 19 - ensemble 28 instantaneous interaction 41 integral kernel 22 integro-differential equations 20 interaction representation 28, 29 internal field 89 inverse matrix 53,) 29 - diagonalization 1'29
Jaynes-Cummings model 116
Lagrange equations 7 lateral dispersion 120 leakage 117 light confinement 90 Lindblad operators 107 linear current density 25 long wavelength app;l'Oximation (LWA)
34, 49, 60, 63, 64, 69, 76, 77, 96, 100, 125, 138, 139
long-range eharacter 80 longitudinal (L) field 7, 8 Lorentz - force 7, 16 - model 10 LT splitting 40 LT-mixed character 8
macroscopie semiclaEsical theory 2 manipulation, mechanical 121 matrix equation 33 Maxwell - boundary eonditions 2, 6, 59 - equations (microscopie) 13 - field 15 mechanical manipulation 121 mieroseopie Maxwell equations 13 Mie resonance 98, 111 mirror charge potential 43
monopoly by single state 74 multiple scattering 119 multipole
expansion 50 field components 78
- radiation 122
near field NIDORES
74, 121 154
non-radiative width 27 non-trivial solution 52 nonlinear suseeptibility 29 nonloeal - response 5 - susceptibility 29 nonlocality 2 nonlocality-induced double resonance
in energy and size (NIDORES) 139 nuclear Bragg diffraction 99
optical - bist ability 158 - lattiee 100 - Stark effect 140 order number 113 oscillator strength 49 outgoing - solution 15 - wave 59
par ametrie amplification 117 Pauli principle 67 Pekar ABC 85 photonie - crystal 105 - gap 105, 115 Poisson equation 7 polarization charge 9 polynomial - equations 20, 22 - series 22, 24 pump-probe proeess 70 pump-indueed absorption 140
Q-factor 111, 116 quantum meehanieal coherence 13
Rabi splitting 116 radiation Green function 38 radiative - correction 26, 27, 34 - deeay 11 - interaction 3 - rate 107
- shift 32 - width 3, 32, 49 Raman scattering 53 reflection mode 121, 125 relativistic correction 18 renormalized Green function 44, 46,
47, 85, 97, 112 resonance condition 34 resonant
enhancement 32, 35, 139 photonic crystal 131 SNOM 123 structure 35
response spectrum 35 retarded interaction 11, 26, 41, 48
saturation 60 scattering process 19 screening 47 selective enhancement 74 self-consistency 4, 19, 33 self-sustaining (SS) mode 35 semiclassical scheme 56 separability 22, 24, 59 separable integral kernel 20 simultaneous cubic equations 31 size enhancement 60 size-resonant effect 139 slowly-varying amplitude approxima-
tion 23 SNOM 121 - resonant 123 spatial
dispersion 6 - structure 34, 89
- variation 33 speed-up effect 39, 99 spin
magnetic moment 18 - singlet 40 - triplet 40 standing wave 135 statistical average 56
Index 171
strong confinement 83 superradiant (SR) mode 104 surface
charge 43, 93 - mode 94
Taylor expansion 68 three-fold commutator 29 time evolution 17 time-ordering operator total reflection 105 transfer matrix 106 - method 132 transition layer model transition polarizability transverse field 7, 14 two-photon absorption
17
84 3, 53
140, 145, 148
vacuum Rabi splitting 116 vector spherical harmonics 92
wave guide mode 108 weak confinement 76, 83, 92 whispering gallery (WG) mode 37,
111
X-ray dynamical scattering 38
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71 High Magnetic Fields in Semiconductor Physics Editor: G. Landwehr
72 One-Dimensional Conductors By S. Kagoshima, H. Nagasawa, and T. Sambongi
73 Quantum Solid-State Physics Editors: S. V. Vonsovsky and M. l. Katsnelson
74 Quantum Monte Carlo Methods in Equilibrium and Nonequilibrium Systems Editor: M. Suzuki
75 Electronic Structure and Optical Properties of Semiconductors 2nd Edition By M. L. Cohen and J. R. Chelikowsky
76 Electronic Properties of Conjugated Polymers Editors: H. Kuzmany, M. Mehring, and S. Roth
77 Fermi Surface Effects Editors: J. Kondo and A. Yoshimori
78 Group Theory and Its Applications in Physics 2nd Edition By T. Inui, Y. Tanabe, and Y. Onodera
79 Elementary Excitations in Quantum Fluids Editors: K. Ohbayashi and M. Watabe
80 Monte Carlo Simulation in Statistical Physics An Introduction 4th Edition By K. Binder and D. W. Heermann
81 Core-Level Spectroscopy in Condensed Systems Editors: J. Kanamori and A. Kotani
82 Photoelectron Spectroscopy Principle and Applications 2nd Edition By S. Hüfner
83 Physics and Technology of Submicron Structures Editors: H. Heinrich, G. Bauer, and F. Kuchar
84 Beyond the CrystaIline State An Emerging Perspective By G. Venkataraman, D. Sahoo, and V. Balakrishnan
85 The Quantum Hall Effects Fractional and Integral 2nd Edition By T. Chakraborty and P. Pietiläinen
86 The Quantum Statisties of Dynamic Processes By E. Fick and G. Sauermann
87 High Magnetic Fields in Semiconductor Physics 11 Transport and Optics Editor: G. Landwehr
88 Organic Superconductors 2nd Edition By T. Ishiguro, K. Yamaji, and G. Saito
89 Strong Correlation and Superconductivity Editors: H. Fukuyama, S. Maekawa, and A. P. Malozemoff
Springer Series in Solid-State Sciences Editors: M. Cardona P. Fulde K. von Klitzing H.-J. Queisser
90 Earlier and Recent Aspects uf Superconductivity Editors: J. G. Bednorz and K. A. Müller
91 E1ectronic Properties 01" Conjugated Polymers 111 Basic Müdels and Applications Editors: H. Kuzmany, M. Mehring, and S. Roth
92 Physics and Engineering Applications of Magnetism Editors: Y. [shikawa and N. Miura
93 Quasicrystals Editors: T. Fujiwara and T. Ogawa
94 Electronic Conduction in Oxides 2nd Edition By N. Tsuda, K. Nasu, F Atsushi. and K.Siratori
95 Electronic Materials A New Era in MaterialsScience Editors: J. R. Chelikowsiey and A. Franciosi
96 Electron Liquids 2nd Edition By A. Isihara
97 Localization and Confinement of Electrons in Semiconductors Editors: F. Kuchar, H. H"inrich, and G. Bauer
98 Magnetism and the Eledronic Structure of CrystaIs By VA.Gubwov, A.I. Liechtenstein, and A. V. Postnikov
99 Electronic Properties of High-Tc Superconduetors and Related Compounds
Editors: H. Kuzmany, M Mehring. and J. Fink
100 Electron Correlations in Molecules and Solids 3rd Editior By P. Fulde
101 High Magnetic Fields ill Semiconductor Physics 111 Quantum Ha II Effect, Transport and Optics By G. Landwehr
102 Conjugated Conducting Polymers Editor: H. Kiess
103 Molecular Dynamies Simulations Editor: F. Yonezawa
104 Products of Random M atriees in Statistical Physics B y A. Crisanti, G. Paladin, and A.Vulpi:mi
105 Self-Trapped Excitons 2nd Edition By K. S. Song and R. T. Williams
106 Physics of High-Temperature Supereonduetors Editors: S. Maekawa ami M. Sato
107 Eleetronie Properties or Polymers Orientalion and DimensioJnality of Conjugated Systems Editors: H. Kuzmany, M. Mehring, and S. Rot!
108 Site Symmetry in Cryslals Theory and Applicatiom 2nd Edition By R. A. Evarestov and V. P. Smirnov
109 Transport Phenomena in Mesoseopie Systems Editors: H. Fukuyama and T. Ando
110 Superlattiees and Other Heterostruetures Symmetry and Optical Phenomena 2nd Edition By E. L. Ivchenko and G. E. Pikus
III Low-Dimensional Eleetronic Systems New Concepts Editors: G. Bauer. F. Kuchar, and H. Heinrich
I 12 Phonon Seattering in Condensed Matter VII Editors: M. Meissner and R. O. Pohl
113 Eleetronic Properties of High-Te Superconductors Editors: H. Kuzmany, M. Mehring, and J. Fink
1 14 Interatomic Potential and Structural Stahility Editors: K. Terakura and H. Akai
115 Ultrafast Spectroscopy of Semiconductors and Semiconductor Nanostructures 2nd Edition By J. Shah
1 16 Electron Spectrum of Gapless Semiconductors By J. M. Tsidilkovski
1 17 Electronic Properties of Fullerenes Editors: H. Kuzmany, J. Fink, M. Mehring, and S. Roth
I 18 Correlation EITects in Low-Dimensional Electron Systems Editors: A. Okiji and N. Kawakami
119 Spectroscopy of Mott Insulators and Correlated Metals Editors: A. Fujimori and Y. Tokura
120 Optical Properties ofIlI-V Semiconductors The [nfluence of Multi-Valley Band Structures By H. Kalt
121 Elementary Processes in Excitations and Reactions on Solid Surfaces Editors: A. Okiji, H. Kasai, and K. Makoshi
122 Theory of Magnetism By K. Yosida
123 Quantum Kinetics in Transport and Optics of Semiconductors By H. Haug and A.-P. Jauho
124 Relaxations of Excited States and PhotoInduced Structural Phase Transitions Editor: K. Nasu
125 Physics and Chemistry of Transition-Metal Oxides Editors: H. Fukuyama and N. Nagaosa
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