Physics – Condensed Matter – Superconductivity
Scientific paper
2010-06-14
Phys.Rev.B84:064502,2011
Physics
Condensed Matter
Superconductivity
22 pages, 6 figures
Scientific paper
10.1103/PhysRevB.84.064502
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.
Durst Adam C.
Ganeshan Sriram
Kulkarni Manas
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