References
- Allen , J. W. , Oh , S. J. , Gunnarsson , O. , Schönhammer , K. , Maple , M. B. , Torikachvilli , M. S. and Lindau , I. 1986 . Electronic structure of cerium and light rare-earth intermetallics . Adv. Phys. , 35 : 275
- Anderson , P. W. 1961 . Localized magnetic states in metals . Phys. Rev. , 124 : 41
- Anderson , P. W. 1984 . Basic Notions of Condensed Matter Physics , p. 30 London : Benjamin/Cummings .
- Anderson , P. W. 1987 . The resonating valence bond state in La2CuO4 and superconductivity . Science , 235 : 1196
- Arnold , R. G. and Stevens , K. W. H. 1979 . A three-site, six-electron, even-pairty model of intermediate valence . J. Phys. , C12 : 5037
- Baeriswyl , D. and Maki , K. 1988 . Interchain order, soliton confinement, and electron photo-generation in trans-polyacetylene. Pairing mechanisms in high-Tc superconductors . Phys. Rev. , B38 : 8135
- Baetzold , R. C. 1982 . Trends in the heat of adsorption . Solid State Comm. , 44 : 781
- Balseiro , C. A. , Rojo , A. G. , Gagliano , E. R. and Alascio , B. 1988 . Pairing mechanisms in high-Tc superconductors . Phys. Rev. , B38 : 9315
- Bickers , N. E. , Scalapino , D. J. and White , S. R. 1989 . Conserving approximations for strongly correlated electron systems: Bethe-Salpeter Equation and dynamics for the two-dimensional Hubbard model . Phys. Rev. Lett. , 62 : 961
- Bishop , A. R. , Lomdahl , P. S. , Schrieffer , J. R. and Trugman , S. A. 1989 . Pairing-bag excitations in small-coherence-length superconductors . Phys. Rev. Lett. , 61 : 2709
- Bonca , J. , Prelovsek , P. and Sega , I. 1989 . Exact diagonalization study of the effective model for holes in the planar antiferromagnet . Phys. Rev. B , : 7074
- del Bosch , M. L. and Falicov , L. M. 1988 . Extended one-dimensional Hubbard model. A small cluster approach . Phys. Rev. , B37 : 6073
- Brenig , W. and Schönhammer , Z. 1974 . On the theory of chemisorption . Z. Phys. , 267 : 201
- Brinkman , W. F. and Rice , T. M. 1970 . Single-particle excitations in magnetic insulators . Phys. Rev. , B2 : 1324
- Callaway , J. 1987 . Numerical simulation of the resonant valence bond state . Phys. Rev. , B35 : 8723
- Callaway , J. , Chen , D. P. and Tang , R. 1986 . The Hubbard model for small clusters . Z. Phys. , D3 : 91
- Callaway , J. , Chen , D. P. and Tang , R. 1987 . Thermodynamic properties of the Hubbard model applied for small clusters . Phys. Rev. , B35 : 3705
- Callaway , J. , Chen , D. P. and Zhang , Y. 1987 . The Hubbard model for a cubic cluster . Phys. Rev. , B36 : 2084
- Chao , K. A. and Oleś , A. M. 1981 . Thermodynamic properties of magnetic impurities in metals . Physica B , 106 : 320
- Chao , K. A. , Oleś , A. M. and Spałek , J. 1978 . Variational method for magnetic impurities in metals . Phys. Rev. , B17 : 4339
- Chao , K. A. , Spałek , J. and Oleś , A. M. 1978 . Canonical perturbation expansion for the Hubbard model . Phys. Rev. , B18 : 3453
- Chao , K. A. and Wei , G. Z. 1989 . Hole pairing in two dimensional CuO2 . to be published
- Chen , C. , Reich , A. and Falicov , L. M. 1988 . Surface properties of a heavy-fermion system: An exact many-body solution to a periodic-cluster Hubbard model . Phys. Rev. , B38 : 12823
- Chen , H. , Callaway , J. and Misra , P. K. 1988 . Electronic structure of Cu-O chains in the high Tc superconductor YBa2Cu3O7 . Phys. Rev. , B38 : 195
- Cioslowski , J. 1987 . Connected moment expansion for the ground state energy of system described by nonlinear Hamiltonian . Phys. Rev. , A36 : 374
- Coppersmith , S. N. and Yu , C. C. 1989 . The phase diagram for the Hubbard model: A variational wavefunction approach . Phys. Rev. , B39 : 11464
- Doniach , S. and Sondheimer , E. H. 1974 . “ Green's Functions for solid-state physicist ” . London : Benjamin-Cummings .
- Emery , V. J. and Reiter , G. 1988 . Mechanisms for high-temperature superconductivity . Phys. Rev. , B38 : 4547
- Ertl , G. 1985 . Catalysis and surface phase transformation . Surf. Sci. , 152/153 : 1982
- Eskes , H. and Sawatzky , G. A. 1988 . Tendency towards local spin compensation of holes in the high-Tc copper compounds . Phys. Rev. Lett. , 61 : 1415
- Eskes , H. , Tjeng , L. H. and Sawatzky , G. A. 1989 . A cluster model calculation for the electronic structure of CuO: A model material for the high Tc superconductors . to be published
- Falicov , L. M. and Harris , R. A. 1969 . Two-electron homopolar molecule: a test for spin-density waves and charge-density waves . J. Chem. Phys. , 51 : 3153
- Falicov , L. M. and Victora , R. H. 1984 . Exact solution of the Hubbard model for a four-center tetrahedral cluster . Phys. Rev. , B30 : 1695
- Fourcade , B. and Spronken , G. 1984 . Application of the finite-cell-scaling method to the one-dimensional Hubbard model . Phys. Rev. , B29 : 5012
- Friedel , J. 1988 . “ Atomic Bonding in Clusters, in Elemental and Molecular Clusters, Spinger Series in Materials Science ” . Edited by: Benedek , G. , Martin , T. P. and Pacchioni , G. vol. 6 , Berlin : Springer .
- Friedel , J. 1989 . “ Metallic Bonds in Clusters ” . In Phase Transitions (this volume)
- Fulde , P. 1988 . Introduction to the theory of heavy fermions . J. Phys. F , 18 : 601
- Ghijsen , J. , Tjeng , L. H. , van Elp , J. , Eskes , H. , Westerink , J. , Sawatzky , G. A. and Czyzyk , M. T. 1988 . Electronic structure of Cu2O and CuO . Phys. Rev. , B38 : 11322
- Gros , G. , Joynt , R. and Rice , T. M. 1987 . Antiferromagnetic correlations in almost localized Fermi liquids . Phys. Rev. , B36 : 381
- Gubernatis , J. E. , Scaletarr , R. T. , White , S. R. and Sugar , R. L. to be published
- Gunnarsson , O. and Schönhammer , K. 1983 . Electron spectroscopies for Ce compounds in the impurity model . Phys. Rev. , B28 : 4315
- Gunnarsson , O. and Schönhammer , K. 1985 . Double occupancy of the f orbital in the Anderson model for Ce compounds . Phys. Rev. , B31 : 4815
- Gutzwiller , M. C. 1964 . Effect of correlation on the ferromagnetism of transition metals . Phys. Rev. , A134 : 923
- Hass , K. C. 1989 . “ Electronic structure of cooper-oxide superconductors ” . In Solid State Physics , Edited by: Ehrenreich , H. and Turnbull , D. vol. 42 , Orlando : Academic Press .
- Hayden , G. W. and Soos , Z. G. 1988 . Dimerization enhancement in one-dimensional Hubbard and Pariser—Parr—Pople models . Phys. Rev. , B38 : 6075
- Heeger , A. J. , Kivelson , S. , Schrieffer , J. R. and Su , W. P. 1988 . Solitons in conducting polymers . Rev. Mod. Phys. , 60 : 781
- Hirsch , J. E. 1985 . Two-dimensional Hubbard model: Numerical simulation study . Phys. Rev. , B31 : 4403
- Hirsch , J. E. 1986 . Connection between world-line and determinantal functional-integral formulations of the Hubbard model . Phys. Rev. , B34 : 3216
- Hirsch , J. E. 1987 . Simulations of the three-dimensional Hubbard model: Half-filled band sector . Phys. Rev. , B35 : 1851
- Hirsch , J. E. 1988 . Stable Monte Carlo algorithm for fermion lattice systems at low temperatures . Phys. Rev. , B38 : 12023
- Hirsch , J. E. 1989 . Hole superconductivity . Phys. Lett. , 134 : 451
- Hirsch , J. E. and Lin , H. Q. 1988 . Pairing in the two-dimensional Hubbard model: A Monte Carlo study . Phys. Rev. , B37 : 5070
- Hirsch , J. E. , Loh , E. , Scalapino , D. J. and Tang , S. 1989 . Pairing interaction in CuO clusters . Phys. Rev. , B39 : 243
- Hirsch , J. E. and Tang , S. 1989a . Antiferromagnetism in the two-dimensional Hubbard model . Phys. Rev. Lett. , 62 : 591
- Hirsch , J. E. and Tang , S. 1989b . Two-dimensional Hubbard antiferromagnet with the next nearest coupling . Phys. Rev. , B39 : 2887
- Horsch , P. 1989 . Unpublished
- Hubbard , J. 1963 . Electron correlations in narrow energy bands . Proc. R. Soc. A , 276 : 283
- Hubbard , J. 1963 . Electron correlations in narrow energy bands. III. An improved solution . Proc. R. Soc. A , 281 : 401
- Hybertsen , M. S. , Schlüter , M. and Christensen , N. E. 1989 . Calculation of Coulomb interaction parameters for La2CuO4 using a constrained density functional approach . Phys. Rev. , B39 : 9028
- Imada , M. 1988a . A new hybrid algorithm for fermion simulations . J. Phys. Soc. Jap. , 57 : 42
- Imada , M. 1988b . A quantum simulation study of superconducting correlation in electron systems with strong correlation . J. Phys. Soc. Jap. , 57 : 3128
- Imada , M. , Hatsugai , Y. and Nagaosa , N. 1989 . Numerical analysis of coupled spin-fermion model-Pairing mechanism through extended Kondo singlet . to be published
- Jefferson , J. H. 1988 . Exact and numerical solutions for hole states in CuO chains . J. Phys. , C21 : L425
- J¸drzejek , C. and Streszewski , M. 1989 . Hubbard model for the square pyramid cluster . to be published
- Jullien , R. and Martin , R. M. 1982 . Ground-state and low-lying excitations of the periodic Anderson Hamiltonian in one-dimension from finite cell calculations . Phys. Rev. , B26 : 6173
- Kakehashi , Y. 1988 . Variational approach to finite temperature magnetism in the degenerate Hubbard model . Phys. Rev. , B38 : 6928
- Kakehashi , Y. and Hasegawa , H. 1988 . Magnetic and thermodynamic properties of the simple Hubbard model . Phys. Rev. , B37 : 7777
- Kanamori , J. 1963 . Electron correlation and ferromagnetism of transition metals . Prog. Theor. Phys. , 30 : 275
- Kaplan , T. A. , Horsch , P. and Fulde , P. 1982 . Close relation between localized-electron magnetism and the paramagnetic wave functions of completely itinerant electrons . Phys. Rev. Lett. , 49 : 889
- Kaxiras , E. and Manousakis , E. 1988a . Ground state of the strong coupling Hubbard Hamiltonian: A numerical diagonalization study . Phys. Rev. , B37 : 656
- Kaxiras , E. and Manousakis , E. 1988b . Hole dynamics in the two-dimensional strong-coupling Hubbard Hamiltonian . Phys. Rev. , B38 : 866
- Kotani , A. , Jo , T. and Parlebas , J. C. 1988 . Many-body effects in core-level spectroscopy of rare-earth compounds . Adv. Phys. , 37 : 37
- Laan van der , G. , Westra , C. , Haas , C. and Sawatzky , G. A. 1981 . Satellite structure in photoemission and Auger spectra of copper dihalides . Phys. Rev. , B23 : 4369
- Liang , S. , Doucot , B. and Anderson , P. W. 1988 . Some new variational resonating-valence-bond-type wave functions for the spin-½ antiferromagnetic Heisenberg model on a square lattice . Phys. Rev. Lett. , 61 : 365
- Lieb , E. H. 1989 . Two theorems on the Hubbard model . Phys. Rev. Lett. , 62 : 1201
- Lieb , E. H. and Wu , F. W. 1968 . Absence of Mott Transition in an exact solution of the short-range, one-band model in one dimension . Phys. Rev. Lett. , 20 : 1445
- Lin , H. W. and Hirsch , J. E. 1987 . Two-dimensional Hubbard model with nearest-and next-nearest neighbour hopping . Phys. Rev. , B35 : 3359
- Lin , H. Q. , Hirsch , J. E. and Scalapino . 1987 . Pairing in the two-dimensional Hubbard model: An exact diagonalization study . Phys. Rev. , B37 : 7359
- Lin , T. H. and Falicov , L. M. 1980 . Diatomic molecule for a mixed-valence system . Phys. Rev. , B22 : 856
- McMahan , A. K. , Martin , R. M. and Sapathy , S. 1988 . Calculated effective Hamiltonian for La2CuO4 and solution in the impurity Anderson approximation . Phys. Rev. , B38 : 6650
- Metzner , W. and Vollhardt , D. 1988 . Analytic calculation of ground state properties of correlated fermions with the Gutzwiller wave-function . Phys. Rev. , B37 : 7382
- Metzner , W. and Vollhardt , D. 1989 . Ground-state energy of the d = 1, 2, 3 dimensional Hubbard model in the weak coupling limit . Phys. Rev. , B39 : 4462
- Mila , F. 1988 . Parameters of a Hubbard Hamiltonian to describe superconducting Cu oxides . Phys. Rev. , B38 : 11358
- Moran-Lopez , F. and Falicov , L. M. 1982 . Self-consistent model of hydrogen chemisorption on ferromagnetic transition metals . Phys. Rev. , B26 : 2561
- Moruzzi , V. L. , Janak , J. F. and Williams , A. R. 1977 . “ Calculated electronic properties of metals ” . New York : Pergamon .
- Nagaoka , Y. 1966 . Ferromagnetism in a narrow, almost half-filled 5 band . Phys. Rev. , 147 : 392
- Newns , D. M. 1969 . Self-consistent model of hydrogen chemisorption . Phys. Rev. , 178 : 1123
- Norlander , P. , Holloway , S. and Norskov , J. K. 1984 . Hydrogen adsorption on metal surfaces . Surf. Sci. , 136 : 59
- Nuñez Regueiro , M. D. and Aligia , A. A. 1988 . Excitonic pairing in CuO2- and BiO3-based perovskites . Phys. Rev. Lett. , 61 : 1889
- Okiji , A. 1988 . “ Bethe ansatz treatment of the Anderson model for a single impurity ” . In Fermi Surface Effects , Edited by: Kondo , J. and Yoshimori , A. p. 63 Berlin : Springer Verlag . Springer Series in Solid State Physics
- Oleś , A. M. 1989 . Correlation effects in transition metals . J. Phys. (Paris) , 49-C8 : 47
- Oleś , A. M. , Desjonquères , M. C. , Spanjaard , D. and Tréglia , G. 1989 . Role of electron correlations and magnetism in the stability of Re dimers on W(100) . J. Phys. , 49-C8 : 1637 (Paris)
- Oleś , A. M. and Oleś , B. 1986 . Singlet pairing in the periodic Anderson model . J. Magn. Mag. Mat. , 54–57 : 413
- Oleś , A. M. and Stollhoff , G. 1984 . Correlation effects in ferromagnetism of transition metals . Phys. Rev. , B29 : 314
- Oleś , A. M. , Tréglia , G. , Spanjaard , D. and Jullien , R. 1985 . One-hole excitation spectra of the one-dimensional Hubbard model . Phys. Rev. , B32 : 2167
- Oleś , A. M. , Tréglia , G. , Spanjaard , D. and Jullien , R. 1986 . One- and two-hole excitation spectra of the Hubbard model . Phys. Rev. , B34 : 5101
- Oleś , A. M. and Zaanen , J. 1989 . Mean-field theories of the two-band model and the magnetism in high-Tc oxides . Phys. Rev. , B39 : 9175
- Oleś , B. , Oleś , A. M. and Chao , K. A. 1983 . Mott state and charge order in random potential . Phys. Rev. , B27 : 2504
- Painelli , A. and Girlando , A. 1989 . Electron correlations in one dimension: The Hubbard model . Phys. Rev. , B39 : 2830
- Parlebas , J. C. 1987 . Examples of exact solutions for electron-electron interactions in intermediate valence systems: calculation of core-level spectra . Acta Magnetica , 4 : 21
- Parlebas , J. C. , Victora , R. H. and Falicov , L. M. 1986 . Exact solution of a four-site crystal model of an intermediate valence systems . J. Phys. , 47 : 1029 (Paris)
- Rao , B. K. and Jena , P. 1988 . Physics of small clusters: Topology, magnetism and electronic structure . Phys. Rev. , B32 : 477
- Reich , A. and Falicov , L. M. 1988 . Heavy fermion system: An exact many-body solution to a periodic cluster Hubbard model . Phys. Rev. , B37 : 5560
- Rice , T. M. and Ueda , K. 1986 . Gutzwiller method for heavy electrons . Phys. Rev. , B34 : 6420
- Roth , L. M. 1968 . New method for many-body equations of motion in statistical mechanics . Phys. Rev. Lett. , 20 : 1431
- Sawatzky , G. A. 1977 . Quasiatomic Auger spectra in narrow-band metals . Phys. Rev. Lett. , 39 : 504
- Scalettar , R. , Loh , E. Y. , Gubernatis , J. E. , Moreo , A. , White , S. R. , Scalapino , D. J. , Sugar , R. L. and Gagotto , E. 1989 . Phase Diagram of the Two-Dimensional Negative-U Hubbard Model . Phys. Rev. Lett. , 62 : 1407
- Scalettar , R. , Scalapino , D. J. , Sugar , R. L. and Toussaint , D. 1989 . Phase diagram of the half-filled 3D Hubbard model . Phys. Rev. , B39 : 4711
- Shen , Z. , Allen , J. W. , Yeh , J. J. , Kang , J. S. , Ellis , W. , Spicer, Lindau , W. , Maple , M. B. , Dalichaouch , Y. D. , Torikachvili , M. S. , Sun , J. Z. and Geballe , T. H. 1987 . Anderson Hamiltonian description of the experimental electronic structure and magnetic interactions of copper oxide superconductors . Phys. Rev. , B36 : 8414
- Shiba , H. and Ogata , M. 1988 . Numerical studies of the ground state of strongly correlated electron systems . J. Magn. Magn. Mat. , 76–77 : 59
- Shustorovich , E. 1983 . Bonding vs. Antibonding States in Transition-Metal Bond Activation: Energetic grounds and stereochemical implications . J. Phys. Chem. , 87 : 14
- Sorella , S. , Tosatti , E. , Baroni , S. , Car , R. and Parinello , M. 1989 . Numerical simulation of the 1D and 2D Hubbard models: Fermi liquid behavior and its breakdown . Int. J. Mod. Phys. , B1 : 995
- Sowa , E. C. and Falicov , L. M. 1988 . Many-body small-cluster theory of bcc Fe, Co, and the Fe-Co alloy . Phys. Rev. , B37 : 8707
- Spronken , G. , Jullien , R. and Avignon , M. 1981 . Real-space scaling methods applied to an interacting fermion Hamiltonian . Phys. Rev. , B24 : 5356
- Stephan , W. H. , von der Linden , W. and Horsch , P. 1989 . Attractive interactions from repulsive forces in a multi-band Hubbard model . Phys. Rev. , B39 : 2924
- Stollhoff , G. 1987 . Is there really evidence for attractive interactions in single band fermion systems with strong on-site repulsion? . Z. Phys. , B69 : 61
- Stollhoff , G. and Fulde , P. 1980 . On the computation of electronic correlation energies within the local approach . J. Chem. Phys. , 73 : 4548
- Streszewski , M. 1988 . “ Theoretical Studies of Surfaces, clusters, and the many-body problem using semiempirical methods ” . In Ph.D. thesis , Texas A & M University . unpublished
- Streszewski , M. and J¸drzejek , C. 1986 . Self-consistent model of hydrogen chemisorption on ferromagnetic transition metals . Phys. Rev. , B34 : 3750
- Streszewski , M. and J¸drzejek , C. 1988 . Exact solution of the Green's function hierarchy for 2-site Hubbard cluster . Phys. Lett. , A128 : 378
- Streszewski , M. and J¸drzejek , C. 1989 . Size dependence in hydrogen chemisorption on Ni(100) ferromagnetic . J. Mol. Catalysis , in print
- Su , W. P. 1988 . Spin polarons in a two-dimensional Hubbard model: A numerical study . Phys. Rev. , B37 : 9904
- Su , W. P. and Chen , X. Y. 1988 . Magnetic polarons in the two-dimensional Hubbard model . Phys. Rev. , B38 : 8879
- Szczepanski von , K. J. , Rice , T. M. and Zhang , F. C. 1989 . Impurity states in the t—J model . To be published
- Takagi, Uchida , H. S. and Tokura , Y. 1989 . Superconductivity produced by electron doping in Excitonic pairing in CuO2-layered compounds . Phys. Rev. Lett. , 62 : 1179
- Thiel , W. 1988 . Semiempirical methods: current status and perspectives . Tetrahedron , 44 : 7393
- Tréglia , G. , Ducastelle , F. and Spanjaard , D. 1980 . Perturbation treatment of correlations in transition metals . J. Phys. , 41 : 281 (Paris)
- Trugman , S. A. 1988 . Interaction of holes in a Hubbard antiferromagnet and high-temperature superconductivity . Phys. Rev. , B37 : 1597
- Varma , C. M. , Schmitt-Rink , S. and Abrahams , E. 1987 . Charge transfer excitations and superconductivity in “ionic” metals . Solid State Commun. , 62 : 681
- Varma , C. M. and Wilson , A. J. 1980 . Systematics of the binding energy of oxygen and hydrogen on transition metal surfaces . I Phys. Rev. , B22 : 3795
- Varma , C. M. and Yafet , Y. 1976 . Magnetic susceptibility of mixed-valence rare-earth compounds . Phys. Rev. , B13 : 2950
- Virtora , R. H. and Falicov , L. M. 1985 . Exact solution of a four-site d-electron problem: the nickel metal photoemission spectrum . Phys. Rev. Lett. , 55 : 1140
- White , S. R. , Scalapino , D. J. , Sugar , R. L. , Bickers , N. E. and Scaletarr , R. T. 1989 . Attractive and repulsive pairing interaction vertices for the two-dimensional Hubbard model . Phys. Rev. , B39 : 839
- Whaley , K. B. 1987 . Delocalization and correlation effects in atomic system: solution of the Hubbard model for general spin . J. Phys. Chem. , 87 : 7160
- Yokoyama , H. and Shiba , H. 1987a . Variational Monte-Carlo studies of Hubbard model. I . J. Phys. Soc. Jap. , 56 : 1490
- Yokoyama , H. and Shiba , H. 1987b . Variational Monte-Carlo studies of Hubbard model. II . J. Phys. Soc. Jap. , 56 : 3582
- Yokoyama , H. and Shiba , H. 1987b . Variational Monte-Carlo studies on singlet liquid and Néel state . J. Phys. Soc. Jap. , 56 : 3570
- Yokoyama , H. and Shiba , H. 1988 . Variational Monte-Carlo studies of superconductivity in strongly correlated electron systems . J. Phys. Soc. Jap. , 57 : 2482
- Zaanen , J. and Gunnarsson , O. 1989 . Charged magnetic domain lines and the magnetism of the high-Tc oxides . To be published
- Zaanen , K. and Oles , A. M. 1988 . Canonical perturbation theory and the two-band model for high-Tc superconductors . Phys. Rev. , B37 : 9423
- Zaanen , J. , Sawatzky , G. A. and Allen , J. W. 1985 . Band gaps and electronic structure of transition metal compounds . Phys. Rev. Lett. , 55 : 418
- Zavadil , J. , Sroubek , Z. , Zdansky , K. and Kubec , F. 1978 . Electron densities of states in model chemisorbed systems: Comparison of exact and approximate results . Phys. Rev. , B37 : 5433
- Zhang , F. C. , Gros , C. , Rice , T. M. and Shiba , H. 1988 . Renormafized Hamiltonian approach to resonant valence bond wave function . Supercond. Sci. Technol. , 1 : 36
- Zhang , F. C. and Rice , T. M. 1988 . Effective Hamiltonian for the superconducting Cu oxides . Phys. Rev. , B37 : 3759
- Zotos , X. , Lehr , W. and Weber , W. 1989 . Quantum Monte Carlo study of a one dimensional two band fermion model . Z. Phys. , B74 : 289
- Zotos , X. , Shelankov , A. L. and Weber , W. 1988 . Finite size system study of the d—d excitation model . Physica C , 153–155 : 1309