Temperature Dependence of Hall Response in Doped Antiferromagnets

TL;DR

This study numerically investigates how the Hall response in doped antiferromagnets varies with temperature, revealing sign changes and behaviors consistent with experimental observations in cuprates.

Contribution

It provides a detailed numerical analysis of the temperature-dependent Hall response in the t-J model, highlighting sign changes and pseudogap phenomena.

Findings

RH* and RH0 are hole-like above Ts

RH0 becomes hole-like below T*

Strong temperature dependence of Hall response

Abstract

Using finite-temperature Lanczos method the frequency-dependent Hall response is calculated numerically for the t-J model on the square lattice and on ladders. At low doping, both the high-frequency RH* and the d.c. Hall coefficient RH0 follow qualitatively similar behavior at higher temperatures: being hole-like for T > Ts~1.5J and weakly electron-like for T < Ts. Consistent with experiments on cuprates, RH0 changes, in contrast to RH*, again to the hole-like sign below the pseudogap temperature T*, revealing a strong temperature variation for T->0.