How vortex bound states affect the Hall conductivity of a chiral $p\pm ip$ superconductor

Abstract

The physics of a planar chiral $p\pm ip$ superconductor is studied for various vortex configurations. The occurrence of vortex quasi-particle bound states is exposed together with their ensuing collective properties, such as sub-gap bands induced by inter-vortex tunneling. A general method to diagonalize the Hamiltonian of a superconductor in the presence of a vortex lattice is developed, that employs only smooth gauge transformations. It renders the Hamiltonian to be periodic (thus allowing the use of a Bloch theorem) and enables the treatment of systems with vortices of finite radii. The pertinent anomalous charge response $c_{xy}$ is calculated (using the Streda formula), and reveals that it contains a quantized contribution. This is attributed to the response to the nucleation of vortices, from which we deduce the system's quantum phase.

6 pages, 5 figures

References in corpus (9)

• High Resolution Polar Kerr Effect Measurements of Sr2RuO4: Evidence for Broken Time Reversal Symmetry in the Superconducting State
• Collective modes and electromagnetic response of a chiral superconductor
• Frequency and temperature dependence of the anomalous Hall conductivity in a chiral px+ipy superconductor with impurities
• Impurity Induced Polar Kerr Effect in A Chiral p-wave Superconductor
• Gauge-invariant electromagnetic response of a chiral px+ipy superconductor
• Electronic structure of topological superconductors in the presence of a vortex lattice
• Majorana bands, Berry curvature, and thermal Hall conductivity in the vortex state of a chiral p-wave superconductor
• Berry phases and the intrinsic thermal Hall effect in high temperature cuprate superconductors
• Polar Kerr effect from a time-reversal symmetry breaking unidirectional charge density wave

Cited by in corpus (1)

• Majorana lattices from the quantized Hall limit of a proximitized spin-orbit coupled electron gas