Sign Reversal of the Hall Response in a Crystalline Superconductor

Abstract

We consider the Hall conductivity due to the motion of a vortex in a lattice-model of a clean superconductor, using a combination of general arguments, unrestricted Hartree-Fock calculations, and exact diagonalization. In the weak coupling limit, $k_F\xi \gg 1$, the sign of the Hall response of the superconducting state is the same as that of the normal (non-superconducting) state. For intermediate and strong coupling, however, ($k_F\xi \sim 1$) we find that the sign of the Hall response in the superconducting state can be opposite to that of the normal state. In addition, we find that the sign reversal of the Hall response is correlated with a discontinuous change in the density profile at the vortex core. Implications for experiments in the cuprate superconductors are discussed.

arXiv comment4+ pages and supplementary material

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• Equilibrium Formulae for Transverse Magneto-transport of Strongly Correlated Metals
• Transverse vortex commensurability effect and sign change of the Hall voltage in superconducting YBa${}_2$Cu${}_3$O${}_{7-\delta }$ thin films with a nanoscale periodic pinning landscape
• Resistivity tensor correlations in the mixed state of electron-doped superconductor Nd${}_{2-x}$Ce${}_x$CuO${}_{4+\delta }$
• Measuring Hall voltage and Hall resistance in an atom-based quantum simulator
• Interaction dependence of the Hall response for the Bose-Hubbard triangular ladder
• Weakly damped bosons and precursor gap in the vicinity of an antiferromagnetic metallic transition
• Transverse forces on vortices in superfluids in a periodic potential