Hall constant of strongly correlated electrons on a ladder

TL;DR

This paper introduces a new method to calculate the Hall constant in strongly correlated electron systems on ladders, revealing doping-dependent behaviors that align with experimental observations in cuprates.

Contribution

A novel approach expressing the Hall constant via ground state energy derivatives, applied to the t-J model on finite ladders, showing doping-dependent sign changes.

Findings

Single hole R_H is hole-like and near semiclassical value.

Two holes R_H varies with ladder geometry.

R_H changes sign with doping in odd-leg ladders, matching experiments.

Abstract

The Hall constant R_H in a tight-binding model of correlated electrons on a ladder at T=0 is expressed in terms of derivatives of the ground state energy with respect to external magnetic and electric fields. This novel method is used for the analysis of the t-J model on finite size ladders. It is found that for a single hole R_H is hole-like and close to the semiclassical value, while for two holes it can vary with ladder geometry. In odd-leg ladders, R_H behaves quite regularly changing sign as a function of doping, the variation being quantitatively close to experimental results in cuprates.