Internship and thesis proposals
Braiding between a Bogolubov quasiparticle and a superconducting vortex

Domaines
Condensed matter
Topological materials, Quantum Transport, Cavity Quantum Electrodynamics
Nanophysics, nanophotonics, 2D materials and van der Waals heterostructures,, surface physicss, new electronic states of matter

Type of internship
Théorique, numérique
Description
This theoretical internship is in the field of conventional superconductivity. The aim is to study the idea of Hansson et al. that the proper way to describe conventional superconductivity is in terms of topological order of the X.-G. Wen type (rather than in terms of spontaneous symmetry breaking of a gauge symmetry and the existence of a local order parameter). In this perspective, the excitations of a superconductor (the Cooper pair condensate, the Bogolubov quasiparticle and the superconducting vortex) are re-interpreted as being fractionalized topological quasiparticles known as “anyons” of the toric code: the Cooper pair condensate is the trivial or vacuum anyon, the Bogolubov quasiparticle is the ε-anyon, the superconducting vortex is the m-anyon and the bound-state of a Bogolubov quasiparticle and a superconducting vortex is the e-anyon. The concrete project is to study an Aharonov-Bohm (AB) interferometer for Bogolubov quasiparticles encircling a superconducting vortex. The relevant Bogolubov quasiparticles are those near the band edge (i.e. those at lowest energy) which are charge neutral (equal weight superposition of an electron and a hole) spin ½ fermions. The prediction is that the interferences in the AB loop are destructive for an odd number of vortices and constructive for an even number.

Contact
Jean-Noël Fuchs
0675049914


Email
Laboratory : LPTMC - UMR7600
Team : États quantiques de la matière
Team Website
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