Local density of states around single vortices and vortex pairs: effect of boundaries and hybridization of vortex core states

Abstract

The profiles of local density of states (LDOS) around different vortex configurations in mesoscopic superconductors are studied taking account of the interference of quasiparticle waves experiencing Andreev reflection within the vortex cores and normal reflection at the boundaries or defects. For subgap energy levels these interference effects reveal themselves in a nontrivial dependence of the positions of the LDOS peaks on the intervortex distance and sample size: the peak positions generally do not coincide with the superconducting phase singularity points. The LDOS profiles are calculated for three generic examples: (i) vortex-vortex pair; (ii) vortex positioned near a flat boundary; (iii) vortex positioned in the center of a superconducting disk. The resulting evolution of the Andreev interference patterns could be observable by scanning tunneling spectroscopy techniques.

9 pages, 6 figures

References in corpus (9)

• Scanning tunneling spectroscopy of high-temperature superconductors
• Superconducting density of states and vortex cores of 2H-NbS2
• Probing the superfluid velocity with a superconducting tip: the Doppler shift effect
• The effect of nonmagnetic impurities on the local density of states in s-wave superconductors
• Testing for Majorana Zero Modes in a Px+iPy Superconductor at High Temperature by Tunneling Spectroscopy
• Giant oscillations of energy levels in mesoscopic superconductors
• Shadow on the wall cast by an Abrikosov vortex
• Enhanced vortex heat conductance in mesoscopic superconductors
• Superconducting density of states at the border of an amorphous thin film grown by focused-ion-beam

Cited by in corpus (19)

• Imaging superconducting vortex core and lattice with the scanning tunneling microscope
• Scanning tunneling spectroscopy of layers of superconducting 2H-TaSe${}_{\text{2}}$: Evidence for a zero bias anomaly in single layers
• Unconventional vortex states in nanoscale superconductors due to shape-induced resonances in the inhomogeneous Cooper-pair condensate
• Electronic properties of emergent topological defects in chiral $p$-wave superconductivity
• Vortex states in nanoscale superconducting squares: the influence of quantum confinement
• Anisotropic vortices on superconducting Nb(110)
• Quasiclassical numerical method for mesoscopic superconductors: bound states in a circular d-wave island with a single vortex
• Supercurrent on a vortex core in 2H-NbSe${}_2$: current driven scanning tunneling spectroscopy
• Multiple topological transitions driven by the interplay of normal scattering and Andreev scattering
• Quasiparticle spectra of Abrikosov vortices in a uniform supercurrent flow
• Topological transitions in electronic spectra: Crossover between Abrikosov and Josephson vortices
• Superconducting density of states at the border of an amorphous thin film grown by focused-ion-beam
• Self-consistent electronic structure of multiquantum vortices in superconductors at $T\ll T_c$
• Effects of Geometrical Symmetry on the Vortex Nucleation and Penetration in Mesoscopic Superconductors
• The Tomasch effect in nanoscale superconductors
• Electronic structure of mesoscopic superconducting disk: Quasiparticle tunneling between the giant vortex core and disk edge
• Electron-phonon heat transfer in giant vortex states
• Quantum interference among vortex bound states in superconductors
• Chiral Current Inversion Induced by Flat-Band Andreev Bound States