Interacting Electrons on a Square Fermi Surface

Abstract

Electronic states near a square Fermi surface are mapped onto quantum chains. Using boson-fermion duality on the chains, the bosonic part of the interaction is isolated and diagonalized. These interactions destroy Fermi liquid behavior. Non-boson interactions are also generated by this mapping, and give rise to a new perturbation theory about the boson problem. A case with strong repulsions between parallel faces is studied and solved. There is spin-charge separation and the square Fermi surface remains square under doping. At half-filling, there is a charge gap and insulating behavior together with gapless spin excitations. This mapping appears to be a general tool for understanding the properties of interacting electrons on a square Fermi surface.

25 pages, Nordita preprint 94/22 S

Cited by in corpus (21)

• Superconductivity in the repulsive Hubbard model: an asymptotically exact weak-coupling solution
• Parquet solution for a flat Fermi surface
• Evidence of Electron Fractionalization from Photoemission Spectra in the High Temperature Superconductors
• Field-theoretical renormalization group for a flat two-dimensional Fermi surface
• Topological Electronic Liquids: Electronic Physics of One Dimension Beyond the One Dimension
• Ground state phase diagram of the repulsive fermionic $t-t^{\prime }$ Hubbard model on the square lattice from weak-coupling
• Correlations in the Sine-Gordon Model with Finite Soliton Density
• Partially gapped fermions in 2D
• Correlation functions for a two-dimensional electron system with bosonic interactions and a square Fermi surface
• RKKY interaction in the nearly-nested Fermi liquid
• Bosonization for Wigner-Jordan-like Transformation : Backscattering and Umklapp-processes on Fictitious Lattice
• Fermi surface renormalization and confinement in two coupled metallic chains
• A two dimensional analogue of the Luttinger model
• Luttinger liquid fixed point for a 2D flat Fermi surface
• Adjacent face scattering of electrons on a square Fermi surface
• Exact solution of a 2D interacting fermion model
• Fermions in two dimensions, bosonization, and exactly solvable models
• A 2D Luttinger model
• Tunneling in the topological mechanism of superconductivity
• Spectral function of a Luttinger liquid coupled to phonons and angle-resolved photoemission measurements in the cuprate superconductors
• Gauge invariance, correlated fermions, and photon mass in 2+1 dimensions