Negative Thermal Magnetoresistivity as a Signature of a Chiral Anomaly in Weyl Superconductors

We propose that the chiral anomaly of Weyl superconductors gives rise to negative thermal magnetoresistivity induced by emergent magnetic fields, which are generated by vortex textures of order parameters or lattice strain. We establish this scenario by combining the argument based on Berry curvatures and the quasiclassical theory of the Eilenberger equation with quantum corrections arising from inhomogeneous structures. It is found that the chiral anomaly contribution of the thermal conductivity exhibits characteristic temperature dependence, which can be a smoking-gun signature of this effect.

Figure 1

(a) ${\kappa }_2$ versus $T$ in the case of single vortex with vorticity $m=1$, 2, 3. (b) ${\kappa }_2$ versus $T$ in the case of a vortex lattice for $H=0.08$, 0.09, 0.10, 0.11, 0.12 from bottom to top.

Figure 2

(a) $\kappa$ versus $T$ for $e{\mathcal{B}}_C=0.0$, 0.00125, 0.0025, 0.00375, 0.005 from bottom to top. For the temperature region $T<T_L$, in which the quasiclassical approximation fails, the results are shown as dotted lines. Inset: ${\kappa }_2$ versus $T$ for $e{\mathcal{B}}_C=0.00125$, 0.0025, 0.00375, 0.005 from bottom to top. (b) $\kappa$ versus $T$ for $e{\mathcal{B}}_C=0.0$, 0.01, 0.015, 0.02 from bottom to top. The results for $T<T_L$ are shown as dotted lines.