Conductance matrix symmetries of multiterminal semiconductor-superconductor devices

Abstract

Nonlocal tunneling spectroscopy of multiterminal semiconductor-superconductor hybrid devices is a powerful tool to investigate the Andreev bound states below the parent superconducting gap. We examine how to exploit both microscopic and geometrical symmetries of the system to extract information on the normal and Andreev transmission probabilities from the multiterminal electric or thermoelectric differential conductance matrix under the assumption of an electrostatic potential landscape independent of the bias voltages, as well as the absence of leakage currents. These assumptions lead to several symmetry relations on the conductance matrix. Next, by considering a numerical model of a proximitized semiconductor wire with spin-orbit coupling and two normal contacts at its ends, we show how such symmetries can be used to identify the direction and relative strength of Rashba versus Dresselhaus spin-orbit coupling. Finally, we study how a voltage-bias-dependent electrostatic potential as well as quasiparticle leakage break the derived symmetry relations and investigate characteristic signatures of these two contributions.

arXiv comment16 pages, 10 figures

References in corpus (44)

• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Helical liquids and Majorana bound states in quantum wires
• Kwant: a software package for quantum transport
• Quantized conductance at the Majorana phase transition in a disordered superconducting wire
• Gauge invariant nonlinear electric transport in mesoscopic conductors
• Near-unity Cooper pair splitting efficiency
• Finite bias Cooper pair splitting
• Scattering theory of nonlinear thermoelectric transport
• Andreev rectifier: a nonlocal conductance signature of topological phase transitions
• Onsager Relations in Coupled Electric, Thermoelectric and Spin Transport: The Ten-Fold Way
• Scattering matrix approach to the description of quantum electron transport
• Hybridization at superconductor-semiconductor interfaces
• Thermoelectric transport of mesoscopic conductors coupled to voltage and thermal probes
• Conductance-matrix symmetries of a three-terminal hybrid device
• Nonlocal conductance spectroscopy of Andreev bound states: Symmetry relations and BCS charges
• Non-local spectroscopy of Andreev bound states
• Effective theory approach to the Schrodinger-Poisson problem in semiconductor Majorana devices
• Three-terminal nonlocal conductance in Majorana nanowires: Distinguishing topological and trivial in realistic systems with disorder and inhomogeneous potential
• Role of dissipation in realistic Majorana nanowires
• Thermoelectric signatures of a Majorana bound state coupled to a quantum dot
• Effects of the electrostatic environment on the Majorana nanowire devices
• Microscopic interpretation of the Dynes formula for the tunneling density of states
• Scattering Theory of Nonlinear Thermoelectricity in Quantum Coherent Conductors
• Zero-energy pinning from interactions in Majorana nanowires
• Thermodynamics of the mesoscopic thermoelectric heat engine beyond the linear-response regime
• Closing of the Induced Gap in a Hybrid Superconductor-Semiconductor Nanowire
• Nonlinearity in NS transport: scattering matrix approach
• Spin-orbit coupling effects in zinc-blende InSb and wurtzite InAs nanowires: Realistic calculations with multiband $\vec{k}\cdot \vec{p}$ method
• Experimental verification of reciprocity relations in quantum thermoelectric transport
• Interaction-induced zero-energy pinning and quantum dot formation in Majorana nanowires
• Tunneling transport in NSN junctions made of Majorana nanowires across the topological quantum phase transition
• Non-equilibrium theory of tunneling into localized state in superconductor
• Local and non-local thermopowers in three-terminal nanostructures
• Thermodynamic properties of the Dynes superconductors
• Nonlinear transport theory for hybrid normal-superconducting devices
• The self-consistent quantum-electrostatic problem in strongly non-linear regime
• Magnetic-field asymmetry of nonlinear thermoelectric and heat transport
• Conductance asymmetries in mesoscopic superconducting devices due to finite bias
• Nonlocal measurement of quasiparticle charge and energy relaxation in proximitized semiconductor nanowires using quantum dots
• Anomalous Nonlocal Conductance as a Fingerprint of Chiral Majorana Edge States
• Non-linear conductance in mesoscopic weakly disordered wires -- Interaction and magnetic field asymmetry
• Identifying Majorana vortex modes via non-local transport
• Nonlinear Transport through NS Junctions due to Imperfect Andreev Reflection
• Helical and topological phase detection based on nonlocal conductance measurements in a three terminal junction