Hall-effect in LuNi_2B_2C in normal and superconducting mixed states

TL;DR

This study investigates the Hall effect in LuNi_2B_2C, revealing negative Hall resistivity without sign reversal and nonlinear behavior in the normal state, with scaling relations in the mixed state influenced by disorder.

Contribution

It provides detailed measurements of Hall resistivity in LuNi_2B_2C, highlighting the absence of sign reversal and establishing a field-dependent scaling relation in the mixed state.

Findings

Hall resistivity remains negative in both states.

Nonlinear rho_{xy} dependence on magnetic field in the normal state.

Scaling relation rho_{xy} ~ rho_{xx}^beta observed in the mixed state.

Abstract

The Hall resistivity rho_{xy} of LuNi_2B_2C is negative in the normal as well as in the mixed state and has no sign reversal typical for high-T_c superconductors. A distinct nonlinearity in the rho_{xy} dependence on field H was found in the normal state for T < 40K, accompanied by a large magnetoresistance reaching +90% for mu_0H=16T at T=20K. The scaling relation rho_{xy} ~ \rho_{xx}^\beta (\rho_{xx} is the longitudinal resistivity) was found in the mixed state, the value of \beta being dependent on the degree of disorder.