Confined two-dimensional fermions at finite density

TL;DR

This paper introduces a method to incorporate chemical potential into a finite, confined 2D fermion system using twisted boundary conditions, demonstrating the application of functional techniques for more complex models.

Contribution

It presents a novel approach to include chemical potential in confined 2D fermion systems via twisted boundary conditions, illustrating the use of functional methods.

Findings

Successful implementation of chemical potential using twisted boundary conditions

Demonstration of functional techniques in a simple 2D fermion model

Potential for extending methods to more complex systems

Abstract

We introduce the chemical potential in a system of two-dimensional massless fermions, confined to a finite region, by imposing twisted boundary conditions in the Euclidean time direction. We explore in this simple model the application of functional techniques which could be used in more complicated situations.