Reentrant Metallic Behavior in the Weyl Semimetal NbP

TL;DR

This study reveals reentrant metallic behavior in NbP, a Weyl semimetal, caused by competition between magneto conductivity and Hall effects, explained through semiclassical theory without exotic mechanisms.

Contribution

It demonstrates that the reentrant metallic behavior in NbP can be explained by semiclassical magnetotransport theory, linking resistivity peaks to Hall factor dynamics.

Findings

Reentrant metallic behavior appears above a critical magnetic field.

The peak temperature follows a power-law dependence on magnetic field.

The Hall factor at peak temperature remains nearly field-independent.

Abstract

We report the occurrence of reentrant metallic behavior in the Weyl semimetal NbP. When the applied magnetic field $H$ is above a critical value $H_c$, a reentrance appears as a peak in the temperature dependent resistivity $\rho_{xx}(T)$ at $T$ = $T_p$, similar to that observed in graphite where it was attributed to local superconductivity. The $T_p(H)$ relationship follows a power-law dependence $T_p\sim(H-H_c)^{1/v}$ where $v$ can be derived from the temperature dependence of the zero-field resistivity $\rho_0(T) \sim T^v$. From concurrent measurements of the transverse $\rho_{xx}(T)$ and Hall $\rho_{xy}(T)$ magnetoresistivities, we reveal a clear correlation between the rapidly increasing $\rho_{xy}(T)$ and the occurrence of a peak in the $\rho_{xx}(T)$ curve. Quantitative analysis indicates that the reentrant metallic behavior arises from the competition of the magneto conductivity $\sigma_{xx}(T)$ with an additional component $\Delta\sigma_{xx}(T)=\kappa_H\sigma_{xx}(T)$ where $\kappa_H=[\rho_{xy}(T)/\rho_{xx}(T)]^2$ is the Hall factor. We find that the Hall factor ($\kappa_H \approx 0.4$) at peak temperature $T_p$ is nearly field-independent, leading to the observed $T_p(H)$ relationship. Furthermore, the reentrant metallic behavior in $\rho_{xx}(T)$ also is reflected in the behavior of $\rho_{xx}(H)$ that ranges from non-saturating at $T>70$ K to saturation at liquid helium temperatures. The latter can be explained with the magnetic field dependence of the Hall factor $\kappa_H(H)$. Our studies demonstrate that a semiclassical theory can account for the 'anomalies' in the magnetotransport phenomena of NbP without invoking an exotic mechanism.