Semiclassical theory of quasiparticles in giant vortices

• Published in: Physica. C, Superconductivity Vol. 404; no. 1; pp. 153 - 157
• Main Authors: Duncan, Kevin P., Györffy, Balazs L.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: Amsterdam Elsevier B.V 01-05-2004; Elsevier Science
• Subjects: Condensed matter: electronic structure, electrical, magnetic, and optical properties; Critical currents; Exact sciences and technology; Physics; Properties of type I and type II superconductors; Proximity effects, weak links, tunneling phenomena, and josephson effects, adreev effect, sn and sns junctions; Superconductivity; Magnetic flux; Quasiparticles; Singularity; Andreev reflection; Superconductors; Hamiltonians; Vortices; Theoretical study; Semiclassical theory; Quantum theory
• ISSN: 0921-4534; 1873-2143
• DOI: 10.1016/j.physc.2003.10.035

Methods for investigating Andreev bound states in superconducting vortices continue to be of experimental and theoretical interest [Phys. Rev. Lett. 90 (2003) 177002]. We have recently developed a semiclassical theory of quasiparticles in the superconducting state [Ann. Phy. (NY) 298 (2002) 273]. It is based upon the study of classical orbits, the Bogoliubov–de Gennes equation being replaced by Hamiltonian systems describing an effective (fictious) classical mechanics. The orbits are quantised using a generalisation of the Bohr–Sommerfeld or EBK quantisation rule which includes both a Maslov index and an additional topological integer arising from the lines of phase singularity running along the vortex cores. We deploy this theory to the spectra of a single giant vortex.