Quasiparticle Hall transport of d-wave superconductors in the vortex state
O. Vafek, A. Melikyan, Z. Tešanović
DOI 10.1103/PhysRevB.64.224508 · Physical Review B
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Abstract
We 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 dx2−y2 superconductors in the vortex state from a general analysis of the Bogoliubov–de Gennes equation. The spin Hall conductivity σxys is shown to be quantized in units of ħ/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 Hc1≪B≪Hc2. We then derive the Wiedemann–Franz law for the spin and thermal Hall conductivity in the vortex state. In the limit of T→0, the thermal Hall conductivity satisfies κxy=(4π2/3)(kB/ħ)2Tσxys. The transitions between different quantized values of σxys as well as relation to conventional superconductors are discussed.
Source-reported materials — not catalogue approval
| Formula | Reported Tc (K) | Pressure (GPa) | Type |
|---|---|---|---|
| YBCO Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | 90 | Pressure not reported | unknown |
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