Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
1998-10-14
Phys. Rev. B 59, 15641-15653 (1999)
Physics
Condensed Matter
Strongly Correlated Electrons
15 pages revtex. Final version as published
Scientific paper
10.1103/PhysRevB.59.15641
The classification of the ground-state phases of complex one-dimensional electronic systems is considered in the context of a fixed-point strategy. Examples are multichain Hubbard models, the Kondo-Heisenberg model, and the one-dimensional electron gas in an active environment. It is shown that, in order to characterize the low-energy physics, it is necessary to analyze the perturbative stability of the possible fixed points, to identify all discrete broken symmetries, and to specify the quantum numbers and elementary wave vectors of the gapless excitations. Many previously-proposed exotic phases of multichain Hubbard models are shown to be unstable because of the ``spin-gap proximity effect.'' A useful tool in this analysis is a new generalization of Luttinger's theorem, which shows that there is a gapless even-charge mode in any incommensurate N-component system.
Emery Victor J.
Kivelson Steven A.
Zachar Oron
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