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

Abstract

The Hall conductivities of HgBa_{2}CaCu_{2}O_{6+δ}and HgBa_{2}Ca_{2}Cu_{3}O_{8+δ} 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 σ_{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-δ} and La_{2-x}Sr_{x}CuO_{4}.