Quasiparticle scattering from vortices in d-wave superconductors I: Superflow contribution
arXiv:1006.2818 · doi:10.1103/PhysRevB.84.064502
Abstract
In the vortex state of a d-wave superconductor, massless Dirac quasiparticles are scattered from magnetic vortices via a combination of two basic mechanisms: effective potential scattering due to the superflow swirling about the vortices and Aharonov-Bohm scattering due to the Berry phase acquired by a quasiparticle upon circling a vortex. In this paper, we study the superflow contribution by calculating the differential cross section for a quasiparticle scattering from the effective non-central potential of a single vortex. We solve the massless Dirac equation in polar coordinates and obtain the cross section via a partial wave analysis. We also present a more transparent Born-limit calculation and in this approximation we provide an analytic expression for the differential cross section. The Berry phase contribution to the quasiparticle scattering is considered in a separate paper.
22 pages, 6 figures
References in corpus (1)
Cited by in corpus (3)
- Quasiparticle scattering from vortices in d-wave superconductors. II. Berry phase contribution
- Drastic enhancement of the thermal Hall angle in a -wave superconductor
- Scattering states of a vortex in the proximity-induced superconducting state at the interface of a topological insulator and an s-wave superconductor