Berry phases and the intrinsic thermal Hall effect in high temperature cuprate superconductors

Abstract

The Bogoliubov quasiparticles move in a practically uniform magnetic field in the vortex state of high temperature cuprate superconductors. Do the quasiparticles experience a Lorentz force when set in motion by an externally applied heat current ${\mathbf{j}}_Q$, bending their trajectories and causing the temperature gradient perpendicular to ${\mathbf{j}}_Q$ and the applied field $\mathbf{H}$, or is the thermal Hall effect a consequence of Berry phases as in an intrinsic anomalous Hall effect of a semiconductor/metal with spin-orbit coupling? Here we show that it is the latter, and for the first time, calculate the temperature, $\mathbf{H}$-field and the $d$-wave pairing gap $\Delta$ dependence of the intrinsic thermal Hall conductivity, ${\kappa }_{xy}$. We find that the intrinsic contribution to ${\kappa }_{xy}$ displays a rapid onset with increasing temperature, which compares favourably with existing experiments at high $\mathbf{H}$-fields on the highest purity samples. This finding may help to settle a much-debated question of the bulk value of the pairing strength in cuprate superconductors in magnetic field.

5 pages, 3 figures; Supplementary: 11 pages, 3 figures; v2: Figure 1 updated

References in corpus (3)

• Index theoretic characterization of d-wave superconductors in the vortex state
• Dirac-Bogoliubov-deGennes quasiparticles in a vortex lattice
• Mixed state of a lattice d-wave superconductor

Cited by in corpus (7)

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• Large Oscillatory Thermal Hall Effect in Kagome Metals
• Unified approach to electrical and thermal transport in high-$T_c$ superconductors
• Semiclassical theory for the orbital magnetic moment of superconducting quasiparticles