The second-order intrinsic Wiedemann-Franz law

Kavli Affiliate: Gang Su

| First 5 Authors: Ying-Fei Zhang, Zhi-Fan Zhang, Zhen-Gang Zhu, Gang Su,

| Summary:

In recent years, the nonlinear anomalous thermal Hall effect has attracted
substantial attention. In this paper, we carry out a theoretical exploration of
the intrinsic anomalous thermal Hall and Nernst effect that is induced by the
thermal Berry connection polarizability. This effect is independent of the
relaxation time and can be present in antiferromagnets possessing PT symmetry.
Additionally, we put forward a second-order intrinsic Wiedemann-Franz law,
which represents the ratio of the second-order intrinsic thermal conductivity
coefficient to the second-order intrinsic electrical conductivity coefficient .
When analyzed within a four-band PT symmetric Dirac model, we observe that the
second-order intrinsic thermal conductivity coefficient is linearly
proportional to the second-order intrinsic electrical conductivity coefficient
, and the second-order intrinsic Wiedemann-Franz law is characterized by the
chemical potential $mu$ in the low-temperature regime. These findings provide
significant implications for experimental verification.

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