Abstract

Analysis of interacting fermion systems shows that there are two fundamentally different fixed points, Fermi-liquid theory and ``Luttinger-liquid theory'' (Haldane), a state in which charge and spin acquire distinct spectra and correlations have unusual exponents. The Luttinger liquids include most interacting one-dimensional systems, and some higher- (especially two) dimensional systems in which the band spectrum is bounded above, systems with Mott-Hubbard gaps and an upper Hubbard band. We give a theory which is useful in calculating normal-state, and some superconducting, properties of high-${\mathit{T}}_{\mathit{c}}$ superconductors.

Keywords

Luttinger liquidPhysicsHubbard modelSuperconductivityCondensed matter physicsFermi liquid theoryFermionCharge (physics)Spin (aerodynamics)Strongly correlated materialQuantum mechanicsQuantumElectron

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Publication Info

Year
1990
Type
article
Volume
64
Issue
15
Pages
1839-1841
Citations
623
Access
Closed

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Philip W. Anderson (1990). ‘‘Luttinger-liquid’’ behavior of the normal metallic state of the 2D Hubbard model. Physical Review Letters , 64 (15) , 1839-1841. https://doi.org/10.1103/physrevlett.64.1839

Identifiers

DOI
10.1103/physrevlett.64.1839