Directional conductance of Andreev crystals in hybrid Josephson junction arrays

Abstract

Andreev bound states are coherent electron-hole superpositions that form in a normal metal through repeated Andreev reflection at a superconducting interface. When the length of a superconducting segment is comparable to the coherence length, the bound states on opposite sides of the segment hybridize through quasiparticle tunneling. In a periodic array, these hybridized Andreev bound states form energy bands below the superconducting gap. We develop a theoretical framework for transport in such Andreev crystals. We demonstrate that, at high interface transparency, a constant phase bias between neighboring superconductors renders the bands directional: one band contains only right-moving and the other only left-moving electronic states. This property leads to a directional conductance that enables the device to operate as a flux- and bias-voltage-tunable filter that allows signal transmission in only one direction.

16 pages, 8 figures

References in corpus (31)

• Supercurrent diode effect and finite momentum superconductivity
• Realization of a minimal Kitaev chain in coupled quantum dots
• A phenomenological theory of superconductor diodes
• Universal Josephson diode effect
• Ubiquitous Superconducting Diode Effect in Superconductor Thin Films
• Theory of the supercurrent diode effect in Rashba superconductors with arbitrary disorder
• Proximity effect at the superconductor - topological insulator interface
• Parity qubits and poor man's Majorana bound states in double quantum dots
• Near-unity Cooper pair splitting efficiency
• Scattering matrix approach to the description of quantum electron transport
• A two-site Kitaev chain in a two-dimensional electron gas
• A perspective on semiconductor-based superconducting qubits
• InSbAs two-dimensional electron gases as a platform for topological superconductivity
• Topological metals and finite-momentum superconductors
• Phase-engineering the Andreev band structure of a three-terminal Josephson junction
• Signatures of a topological phase transition in a planar Josephson junction
• Phase Asymmetry of Andreev Spectra From Cooper-Pair Momentum
• Highly Efficient Superconducting Diodes and Rectifiers for Quantum Circuitry
• Phase-dependent Andreev molecules and superconducting gap closing in coherently coupled Josephson junctions
• Demonstration of nonlocal Josephson effect in Andreev molecules
• Control of Andreev bound states using superconducting phase texture
• Engineering of anomalous Josephson effect in coherently coupled Josephson junctions
• Scattering description of Andreev molecules
• Interaction effects on proximity-induced superconductivity in semiconducting nanowires
• Nonreciprocal superconductivity
• Gatemonium: A Voltage-Tunable Fluxonium
• Gap inversion in one-dimensional Andreev crystals
• Fermionic Quantum Simulation on Andreev Bound State Superlattices
• Phase-controlled minimal Kitaev chain in multiterminal Josephson junctions
• Spectral properties of Andreev crystals
• Phase-Biased Andreev Diffraction Grating