c-axis magnetotransport in CeCoIn$_{5}$

TL;DR

This study investigates the c-axis electrical transport in CeCoIn$_{5}$, revealing non-Fermi-liquid behavior near a quantum critical point and the influence of magnetic fields on its heavy fermion properties.

Contribution

It provides detailed measurements of out-of-plane resistivity and magnetoresistance in CeCoIn$_{5}$, identifying the location of the quantum critical point within the superconducting phase.

Findings

Linear resistivity at low temperatures indicating non-Fermi-liquid behavior

Negative magnetoresistance scaling with B/(T+T*) revealing Kondo physics

Magnetic field restores Fermi-liquid behavior below 130 mK

Abstract

We present the results of out-of-plane electrical transport measurements on the heavy fermion superconductor CeCoIn$_{5}$ at temperatures from 40 mK to 400 K and in magnetic field up to 9 T. For $T <$ 10 K transport measurements show that the zero-field resistivity $\rho_{c}$ changes linearly with temperature and extrapolates nearly to zero at 0 K, indicative of non-Fermi-liquid (nFL) behavior associated with a quantum critical point (QCP). The longitudinal magnetoresistance (LMR) of CeCoIn$_{5}$ for fields applied parallel to the c-axis is negative and scales as $B/(T+T^{*})$ between 50 and 100 K, revealing the presence of a single-impurity Kondo energy scale $T^{*} \sim 2$ K. Beginning at 16 K a small positive LMR feature is evident for fields less than 3 tesla that grows in magnitude with decreasing temperature. For higher fields the LMR is negative and increases in magnitude with decreasing temperature. This sizable negative magnetoresistance scales as $B{^2}/T$ from 2.6 K to roughly 8 K, and it arises from an extrapolated residual resistivity that becomes negative and grows quadratically with field in the nFL temperature regime. Applying a magnetic field along the c-axis with B $>$ B$_{c2}$ restores Fermi-liquid behavior in $\rho_{c}(T)$ at $T$ less than 130 mK. Analysis of the $T{^2}$ resistivity coefficient's field-dependence suggests that the QCP in CeCoIn$_{5}$ is located \emph{below} the upper critical field, inside the superconducting phase. These data indicate that while high-$T$ c-axis transport of CeCoIn$_{5}$ exhibits features typical for a heavy fermion system, low-$T$ transport is governed both by spin fluctuations associated with the QCP and Kondo interactions that are influenced by the underlying complex electronic structure intrinsic to the anisotropic CeCoIn$_{5}$ crystal structure.