Thermal Hall conductivity and topological transition in a chiral p-wave superconductor for Sr2RuO4
Yoshiki Imai, Katsunori Wakabayashi, Manfred Sigrist

TL;DR
This paper explores the relationship between thermal Hall conductivity and topological phase transitions in the chiral p-wave superconductor Sr2RuO4, revealing how thermal transport reflects topological properties and gap changes.
Contribution
It demonstrates how thermal Hall conductivity in Sr2RuO4 is linked to topological invariants and superconducting gap features, providing a new way to probe topological transitions.
Findings
Thermal Hall conductivity is described by linear and exponential temperature terms.
The linear term is proportional to the Chern number, indicating topological properties.
The exponential term's coefficient changes sign around a Lifshitz transition.
Abstract
The interplay between the thermal transport property and the topological aspect is investigated in a spin-triplet chiral p-wave superconductor Sr2RuO4 with the strong two-dimensionality. We show the thermal Hall conductivity is well described by the temperature linear term and the exponential term in the low temperature region. While the former term is proportional to the so-called Chern number directly, the latter is associated with the superconducting gap amplitude of the gamma band. We also demonstrate that the coefficient of the exponential term changes the sign around Lifshitz transition. Our obtained result may enable us access easily the physical quantities and the topological property of Sr2RuO4 in detail.
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