[Phys-seminars] 2018-04-25 Condensed Matter Theory Seminar

smoshe smoshe at bgu.ac.il
Sun Apr 22 20:01:57 IDT 2018

Condensed Matter Theory Seminar

 DATE: 25-04-18

 TIME: 13:30

 PLACE: Physics building (#54) room 207

How vortex bound states affect the Hall conductivity of a chiral p-wave superconductor

Daniel Ariad, Ben-Gurion University

The physics of a planar chiral p-wave superconductor is studied for various vortex configurations, and the occurrence of vortex quasi- particle bound states is presented together with their ensuing collective properties, such as sub-gap bands induced by inter-vortex tunneling. To this end, I will first show a general method to diagonalize the Hamiltonian of a superconductor in the presence of a vortex lattice, 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. Then I will show how the corresponding Hall conductivity σxy can be calculated using the Streda formula. The results reveal that the contribution to σxy from the vortices is quantized. I will argue that the quantized contribution is due to the formation of bound states, and deduce from it the system's quantum phase.

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