Classification and Stability of Phases of the Multicomponent One-Dimensional Electron Gas

Abstract

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.

15 pages revtex. Final version as published

References in corpus (6)

• Energetics of Domain Walls in the 2D t-J model
• Non-perturbative approach to Luttinger's theorem in one dimension
• The N-chain Hubbard Model in Weak Coupling
• Spin Gap in a Doped Kondo Chain
• Ground State Properties of the Doped 3-Leg t-J Ladder
• Generalization of the Luttinger Theorem for Fermionic Ladder Systems

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• Nodal quasi-particles and coexisting orders in striped superconductors
• Hubbard ladders at small $U$ revisited
• Electronic Mechanism of Superconductivity in the Cuprates, C${}_{60}$, and Polyacenes
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• Superconductivity in the CuO double chain of Pr_2Ba_4Cu_7O_15-delta on the basis of Tomonaga-Luttinger liquid theory
• Ground state of graphite ribbons with zigzag edges
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• Correlation functions for a two-dimensional electron system with bosonic interactions and a square Fermi surface
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• Electronic Ladders with SO(5) Symmetry: Phase Diagrams and Correlations at half-filling
• Pair-density-wave and $s\pm \mathrm{i}d$ superconductivity in a strongly coupled, lightly doped Kondo insulator
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• Electronic Liquid Crystal Phases in Strongly Correlated Systems
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