Temperature-scaling behavior of the Hall conductivity for Hg-based superconducting thin films

TL;DR

This study investigates the temperature-dependent behavior of Hall conductivity in Hg-based superconducting thin films, revealing scaling laws and similarities with other high-temperature superconductors.

Contribution

It demonstrates a temperature-scaling behavior for both coefficients in the Hall conductivity, challenging previous assumptions and extending understanding of mixed-state properties.

Findings

C_1 and C_2 follow temperature-scaling laws near T_c

The exponent n ranges from 1.8 to 2.3, similar to other cuprates

Hall conductivity fits a specific magnetic field dependence model

Abstract

The Hall conductivities of HgBa_{2}CaCu_{2}O_{6+\delta}and HgBa_{2}Ca_{2}Cu_{3}O_{8+\delta} thin films are investigated for a magnetic field parallel to the c axis. The mixed-state Hall conductivity for these compounds is well described by \sigma_{xy}=C_{1}/H+C_{2}+C_{3}H. The prefactor C_1 shows a temperature dependence of the form C_1 = A(1-t)^n near T_c, where t=T/T_c is the reduced temperature. Contrary to the previous results, C_2 also follows a temperature-scaling behavior similar to that of the coefficient C_1. The observed value of n = 1.8 - 2.3 is comparable to the previously observed values for YBa_{2}Cu_{3}O_{7-\delta} and La_{2-x}Sr_{x}CuO_{4}.