Abstract
This paper paper investigates the spontaneous thermal Hall conductivity in chiral d-wave superconductors. The authors show that the contribution of the impurity effect can be orders of magnitude larger than a possible topological contribution.
Highlights
The thermal Hall conductivities (THCs) κi j have extensively been studied in recent condensed matter experiments
Though the nonzero THCs can have a contribution from topologically protected edge states [24,27,28,29], here we investigate an additional effect, the impurity mechanism (IM) for κyx [30,31]
Motivated by the possible generality of this effect, we investigated the role of IM time-reversal symmetry (TRS)-broken superconductors for even-pairing states
Summary
The quasiclassical approach is an effective description of the dynamics of fermions. It is a linearized theory [42] that is capable of describing both the static and dynamical properties of quasiparticles. The quasiclassical GF is guided by a quantum transport equation similar to a quantum Boltzmann equation and inherits microscopic properties such as spin, electron, and holes within a classical transport formalism In this respect, it is much easier to obtain system observables including density, currents, magnetization, etc. The energy current density, Ji(k), can be determined as the phase space sum of gK as In this expression, the spin degeneracy imposes the factor of two. It consists of two parts, gK1a = gK1a,ns + gK1a,V , where the superscripts ns and V stand for the non-self-consistent and the vertex correction GFs. The first term, gK1a,ns, captures the response by neglecting the nonequilibrium changes in self-energies. The first term, gK1a,ns, captures the response by neglecting the nonequilibrium changes in self-energies It has the following form, gK1 ,ns(k, ε) = N R gR0 − gA0. The self-energies are obtained by the t-matrix method
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