Correlation Functions and Coulomb Blockade of Interacting Fermions at Finite Temperature and Size

TL;DR

This paper provides explicit formulas for correlation functions of interacting fermions in one dimension, valid across various system sizes and temperatures, enabling analysis of phenomena like Coulomb blockade oscillations in strongly correlated systems.

Contribution

It introduces general analytical expressions for correlation functions applicable to diverse 1D strongly correlated systems at finite temperature and size.

Findings

Analytical correlation functions match numerical simulations.

Coulomb blockade oscillations depend on interaction strength and temperature.

Results applicable to quantum wires, quantum Hall edges, and spin chains.

Abstract

We present explicit expressions for the correlation functions of interacting fermions in one dimension which are valid for arbitrary system sizes and temperatures. The result applies to a number of very different strongly correlated systems, including mesoscopic quantum wires, quantum Hall edges, spin chains and quasi-one-dimensional metals. It is for example possible to calculate Coulomb blockade oscillations from our expression and determine their dependence on interaction strength and temperature. Numerical simulations show excellent agreement with the analytical results.