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

#### by Daniel Ariad

##### at Condensed Matter Theory Seminar

Wed, 25 Apr 2018, 13:30

Physics building (#54) room 207

#### Abstract

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 xy can be calculated using the Streda formula The results reveal that the contribution to xy 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

Created on 22-04-2018 by Bar Lev, Yevgeny (ybarlev)

Updaded on 22-04-2018 by Bar Lev, Yevgeny (ybarlev)