Thermal Hall conductivity in the spin-triplet superconductor with broken time-reversal symmetry
Yoshiki Imai, Katsunori Wakabayashi, and Manfred Sigrist
Phys. Rev. B 95, 024516 – Published 30 January 2017
https://doi.org/10.1103/PhysRevB.95.024516

ABSTRACT
Motivated by the spin-triplet superconductor Sr₂RuO₄, the thermal Hall conductivity is investigated for several pairing symmetries with broken time-reversal symmetry. In the chiral p-wave phase with a fully opened quasiparticle excitation gap, the temperature dependence of the thermal Hall conductivity has a temperature linear term associated with the topological property directly and an exponential term, which shows a drastic change around the Lifshitz transition. Examining f-wave states as alternative candidates with d=Δ₀z(k²_x−k²_y)(k_x±ik_y) and Δ₀zk_xk_y(k_x±ik_y) with gapless quasiparticle excitations, we study the temperature dependence of the thermal Hall conductivity, where for the former state the thermal Hall conductivity has a quadratic dependence on temperature, originating from the linear dispersions, in addition to linear and exponential behavior. The obtained result may enable us to distinguish between the chiral p-wave and f-wave states in Sr₂RuO₄.