Metamorphosis and Taxonomy of Andreev Bound States

Abstract

We analyze the spatial and energy dependence of the local density of states in a SNS junction. We model our system as a one-dimensional tight-binding chain which we solve exactly by numerical diagonalization. We calculate the dependence of the Andreev bound states on position, phase difference, gate voltage, and coupling with the superconducting leads. Our results confirm the physics predicted by certain analytical approximations, but reveal a much richer set of phenomena beyond the grasp of these approximations, such as the metamorphosis of the discrete states of the normal link (the normal bound states) into Andreev bound states as the leads become superconducting.

23 pages, 15 figures

References in corpus (8)

• Spectral properties of locally correlated electrons in a BCS superconductor
• Transport Through Andreev Bound States in a Graphene Quantum Dot
• Fabry-Perot interference, Kondo effect and Coulomb blockade in carbon nanotubes
• Equilibrium and time-dependent Josephson current in one-dimensional superconducting junctions
• Local Spectral Weight of a Luttinger Liquid: Effects from Edges and Impurities
• Local Density of States for Individual Energy Levels in Finite Quantum Wires
• Electron Scattering in Intrananotube Quantum Dots
• Recursive Method for the Density of States in One Dimension

Cited by in corpus (9)

• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• From Andreev bound states to Majorana fermions in topological wires on superconducting substrates : a story of mutation
• Spectroscopy of the superconducting proximity effect in nanowires using integrated quantum dots
• Generalization of Bloch's theorem for arbitrary boundary conditions: Interfaces and topological surface band structure
• Josephson effect in a Fibonacci quasicrystal
• Experimental review on Majorana zero-modes in hybrid nanowires
• Magnetic field oscillations of the critical current in long ballistic graphene Josephson junctions
• Modeling electron fractionalization with unconventional Fock spaces
• Modeling long imperfect SNS junctions and Andreev bound states using two impurities and the T -matrix formalism