Fermi Surface Renormalization in Two Spatial Dimensions

TL;DR

This paper investigates how interactions in a two-dimensional Fermi surface model cause renormalization effects, revealing potential phase transitions to insulating states through chemical potential behavior.

Contribution

It applies a field theoretical renormalization group method to analyze Fermi surface renormalization and identifies conditions leading to different electronic phases.

Findings

Critical renormalized chemical potential can vanish or remain non-zero.

Vanishing chemical potential suggests a transition to an insulating spin liquid phase.

Results provide insights into phase behavior in two-dimensional electronic systems.

Abstract

We discuss the renormalization induced by interactions of a two-dimensional truncated Fermi surface (FS) model.Using a field theoretical renormalization group method we calculate the critical renormalized physical chemical potential. We show that it either vanishes or approaches a non-zero value. We argue that the vanishing of the chemical potential is indicative of a further truncation of the FS we started with and might well represent an insulating spin liquid phase.