Splitting of Andreev levels in a Josephson junction by spin-orbit coupling

Simple item page
dc.creatorBéri, B.
dc.creatorBardarson, J. H.
dc.creatorBeenakker, C. W. J.
dc.date2007-09-19
dc.date.accessioned2026-07-07T08:53:45Z
dc.date.available2026-07-07T08:53:45Z
dc.descriptionWe consider the effect of spin-orbit coupling on the energy levels of a single-channel Josephson junction below the superconducting gap. We investigate quantitatively the level splitting arising from the combined effect of spin-orbit coupling and the time-reversal symmetry breaking by the phase difference between the superconductors. Using the scattering matrix approach we establish a simple connection between the quantum mechanical time delay matrix and the effective Hamiltonian for the level splitting. As an application we calculate the distribution of level splittings for an ensemble of chaotic Josephson junctions. The distribution falls off as a power law for large splittings, unlike the exponentially decaying splitting distribution given by the Wigner surmise -- which applies for normal chaotic quantum dots with spin-orbit coupling in the case that the time-reversal symmetry breaking is due to a magnetic field.
dc.description6 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0709.3054
dc.identifierhttp://arxiv.org/abs/0709.3054
dc.identifierPhys. Rev. B 77, 045311 (2008)
dc.identifierdoi:10.1103/PhysRevB.77.045311
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145734
dc.subjectMesoscale and Nanoscale Physics
dc.titleSplitting of Andreev levels in a Josephson junction by spin-orbit coupling
dc.typetext

Files

Collections

arXiv