Adjacent face scattering of electrons on a square Fermi surface

Abstract

Interacting electrons with a square Fermi surface is investigated from a bosonic point of view taking into account electron scattering between all faces of the square. Fermion operators are classified according to their dimensions and the stability of the boson fixed-point is investigated. In particular we find, in contrast to previous studies, that the square Fermi surface is unstable to doping in the case of no spin gap and microscopic Hubbard interactions.

arXiv commentRevtex 6 pages, 1 Figure

References in corpus (12)

• Renormalization Group Approach to Interacting Fermions
• Liquid Crystal Phases of Quantum Hall Systems
• The Fractional Quantum Hall effect in an array of quantum wires
• Quantum Theory of the Smectic Metal State in Stripe Phases
• Two dimensional anisotropic non Fermi-liquid phase of coupled Luttinger liquids
• Sliding Luttinger liquid phases
• Sliding Phases in XY-Models, Crystals, and Cationic Lipid-DNA Complexes
• Sliding Phases via Magnetic Fields
• Classification and Stability of Phases of the Multicomponent One-Dimensional Electron Gas
• Interacting Electrons on a Square Fermi Surface
• One-Dimensional Electron Liquid in an Antiferromagnetic Environment: Spin Gap from Magnetic Correlations
• Correlation functions for a two-dimensional electron system with bosonic interactions and a square Fermi surface

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• Luttinger liquid fixed point for a 2D flat Fermi surface
• Exact solution of a 2D interacting fermion model
• Fermions in two dimensions, bosonization, and exactly solvable models
• A 2D Luttinger model
• Gauge invariance, correlated fermions, and photon mass in 2+1 dimensions