Exactly Solvable Model of Correlated Lattice Electrons in Any Dimensions
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概要
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We present an exactly solvable Hamiltonian which consists of nearest neighbor hop-ping and long-range interaction. The ground state arzd the thermodynamic quantitiesare analytically obtained in any dimensions. In a repulsive case, the Luttinger'stheorem breaks down and the hypothesis of the adiabatic continuation no longerholds. At half filling, we show the existence of a metal-insulator transition as a func-tion of the strength of the interaction. The zero energy excitation disappears at thecritical value of the interaction when we increase the interaction. In this case, thesystem is an insulator. The charge compressibility behaves as x $ l 1 -pl' "' nearhalf filling in d dimensions where p is the density of electrons. At other fillings, thereis always a zero energy excitation and the system is metallic. When the interaction is attractive, the ground state is composed of pairs of el<cctrons with opposite spins. Thelow energy excitations, however, is not a particle-hole type of a non-interacting casebut a pairwise excit?ttion across the Fermi surface.
- 社団法人日本物理学会の論文
- 1992-06-15
著者
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HATSUGAI Yasuhiro
Institute for Solid State Physics,University of Tokyo
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Hatsugai Yasuhiro
Institute For Solid State Physics University Of Tokyo
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Kohmoto Mahito
Institute for Solid State Physics, University of Tokyo
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Kohmoto Mahito
Institute For Solid State Physics The University Of Tokyo
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