Quasiparticle Hall Transport of d-wave Superconductors in Vortex State

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dc.creatorVafek, O.
dc.creatorMelikyan, A.
dc.creatorTesanovic, Z.
dc.date2001-04-26
dc.date2001-05-03
dc.date.accessioned2026-07-07T02:41:13Z
dc.date.available2026-07-07T02:41:13Z
dc.descriptionWe present a theory of quasiparticle Hall transport in strongly type-II superconductors within their vortex state. We establish the existence of integer quantum spin Hall effect in clean unconventional $d_{x^2-y^2}$ superconductors in the vortex state from a general analysis of the Bogoliubov-de Gennes equation. The spin Hall conductivity $σ^s_{xy}$ is shown to be quantized in units of $\frac{\hbar}{8π}$. This result does not rest on linearization of the BdG equations around Dirac nodes and therefore includes inter-nodal physics in its entirety. In addition, this result holds for a generic inversion-symmetric lattice of vortices as long as the magnetic field $B$ satisfies $H_{c1} \ll B \ll H_{c2}$. We then derive the Wiedemann-Franz law for the spin and thermal Hall conductivity in the vortex state. In the limit of $T \to 0$, the thermal Hall conductivity satisfies $κ_{x y}=\frac{4π^2}{3}(\frac{k_B}{\hbar})^2 T σ^s_{xy}$. The transitions between different quantized values of $σ^s_{xy}$ as well as relation to conventional superconductors are discussed.
dc.description18 pages REVTex, 3 figures, references added
dc.identifierhttps://arxiv.org/abs/cond-mat/0104516
dc.identifierhttp://arxiv.org/abs/cond-mat/0104516
dc.identifierPRB 64, 224508 (2001)
dc.identifierdoi:10.1103/PhysRevB.64.224508
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/17660
dc.subjectSuperconductivity
dc.titleQuasiparticle Hall Transport of d-wave Superconductors in Vortex State
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