Quantized Thermal Hall Effect in the Mixed State of d-Wave Superconductors

Ashvin Vishwanath

doi:10.1103/PhysRevLett.87.217004

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Quantized Thermal Hall Effect in the Mixed State of d-Wave Superconductors

Ashvin Vishwanath

DOI 10.1103/PhysRevLett.87.217004 · Physical Review Letters

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Abstract

We consider quasiparticles of a clean d-wave superconductor in the vortex lattice state. For vortex lattices that are inversion symmetric, the quasiparticle bands are found to have a Dirac cone dispersion at zero energy, within the linearized approximation. Upon going beyond the linearized approximation by including the effect of the smaller curvature terms, the Dirac cone dispersions acquire a small gap that scales linearly with the applied magnetic field ( ≈0.5KT−1 in YBa2Cu3O6.9). When the “chemical potential” for quasiparticles lies within the gap, quantization of the thermal Hall conductivity, κxy/T=n(π2kB2/3h), with n=±2,0, is predicted at low temperatures.

Source-reported materials — not catalogue approval

Formula	Reported Tc (K)	Pressure (GPa)	Type
YBa2Cu3O6.9 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown