Bosonization for 2D Interacting Fermion Systems: Non-Fermi Liquid Behavior

TL;DR

This paper demonstrates non-Fermi liquid behavior in a 2D interacting fermion system using bosonization, revealing non-universal power law features near the Fermi surface through exact solutions.

Contribution

It applies Haldane's bosonization scheme to a 2D system with non-singular interactions, showing for the first time the emergence of non-Fermi liquid behavior.

Findings

Fermion momentum distribution exhibits non-universal power law near Fermi surface

Exact solution obtained via generalized Bogoliubov transformation

Non-Fermi liquid behavior observed for intermediate interaction strengths

Abstract

Non-Fermi liquid behavior is found for the first time in a two-dimensional (2D) system with non-singular interactions using Haldane's bosonization scheme. The bosonized system is solved exactly by a generalized Bogoliubov transformation. The fermion momentum distribution, calculated using a generalized Mattis-Lieb technique, exhibits a non-universal power law in the vicinity of the Fermi surface for intermediate interaction strengths.