Luttinger Theorem in One Dimensional Metals
- 11 August 1997
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 79 (6) , 1106-1109
- https://doi.org/10.1103/physrevlett.79.1106
Abstract
One dimensional metals are described by Luttinger liquid theory. Recent experiments have addressed the relation between this non-Fermi liquid behavior and the existence of a Fermi surface. We show that Luttinger's theorem, with few modifications, holds for the one dimensional Tomonaga-Luttinger model. The implications for the high temperature superconductors are discussed.Keywords
All Related Versions
This publication has 19 references indexed in Scilit:
- Observation of Spin-Charge Separation in One-Dimensional SrCuPhysical Review Letters, 1996
- The electronic structure of solids studied using angle resolved photoemission spectroscopyProgress in Solid State Chemistry, 1991
- Critical exponents for the one-dimensional Hubbard modelPhysical Review B, 1990
- New collective mode and corrections to Fermi-liquid theory in two dimensionsPhysical Review Letters, 1990
- Correlation exponents and the metal-insulator transition in the one-dimensional Hubbard modelPhysical Review Letters, 1990
- The Resonating Valence Bond State in La 2 CuO 4 and SuperconductivityScience, 1987
- 'Luttinger liquid theory' of one-dimensional quantum fluids. I. Properties of the Luttinger model and their extension to the general 1D interacting spinless Fermi gasJournal of Physics C: Solid State Physics, 1981
- Single-particle states, Kohn anomaly, and pairing fluctuations in one dimensionPhysical Review B, 1974
- Electron correlations in narrow energy bandsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1963
- Fermi Surface and Some Simple Equilibrium Properties of a System of Interacting FermionsPhysical Review B, 1960