Spin-gap effect on resistivity in the t-J model

TL;DR

This paper models the impact of the spin-gap phenomenon on the resistivity of high-temperature cuprates using a gauge field approach, revealing a nonuniversal temperature-dependent exponent that aligns better with experimental data.

Contribution

It introduces a gauge field-based effective theory to describe the spin-gap effect on resistivity, accounting for gauge field compactness and nonuniversal behavior.

Findings

The resistivity follows a temperature-dependent formula involving the spin-gap onset temperature.

The exponent deviates from mean-field value due to gauge field effects, matching experimental observations.

The model improves understanding of the spin-gap's influence on transport properties in cuprates.

Abstract

We calculate the spin-gap effect on dc resistivity in the t-J model of high-$T_{\rm c}$ cuprates by using the Ginzburg-Landau theory coupled with a gauge field as its effective field theory to get $\rho(T) \propto T \{1-c\:(T^* -T)^d \}$, where $T^*$ is the spin-gap onset temperature. By taking the compactness of massive gauge field into account, the exponent $d$ deviates from its mean-field value 1/2 and becomes a nonuniversal $T$-dependent quantity, which improves the correspondence with the experiments.