Two-Loop Renormalization of the Quasiparticle Weight in Two-Dimensional Electron Systems

TL;DR

This paper uses the renormalization-group method to analyze two two-dimensional electron models, focusing on how their quasiparticle weight is affected by complex two-loop self-energy processes.

Contribution

It introduces a two-loop RG analysis for 2D electron systems with singular Fermi surface features, advancing understanding of quasiparticle behavior.

Findings

Identifies the impact of two-loop processes on quasiparticle weight.

Provides a framework for analyzing 2D electron systems with singular Fermi surfaces.

Enhances theoretical understanding of electron interactions in low-dimensional systems.

Abstract

We apply the renormalization-group (RG) approach to two model systems where the two-dimensional Fermi surface has portions which give rise to the logarithmically singular two-loop self-energy process.