Low-energy subgap states and the magnetic flux periodicity in d-wave superconducting rings

Abstract

Wave functions of low-energy quasiparticle subgap states in d-wave superconducting rings, threaded by Aharonov-Bohm magnetic flux, are found analytically. The respective energies are closest to the midgap position at small magnetic fluxes and deviate from the Fermi surface due to the Doppler shift, produced by the supercurrent. The Doppler-shifted zero-energy states result in a paramagnetic response of the ring at small fluxes. The states exist only for even angular momenta of the center of mass of Cooper pairs, in agreement with recent numerical studies of the problem. This macroscopic quantum effect in d-wave rings results in broken h/2e periodicity, retaining only the h/e periodic behavior of the supercurrent with varying magnetic flux.

arXiv comment5 pages, 1 figure, published version

References in corpus (4)

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• h/e-Periodicity in Superconducting Loops
• Evidence for Surface Andreev Bound states in Cuprate Superconductors from Penetration Depth Measurements
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• Wilson Line Response of Holographic Superconductors in Gauss-Bonnet Gravity
• Entanglement entropy as a witness of the Aharonov-Bohm effect in QFT
• Quasiparticle scattering from vortices in d-wave superconductors. II. Berry phase contribution
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