Non-local transport signatures of topological superconductivity in a phase-biased planar Josephson junction

Abstract

Hybrid Josephson junctions realized on a two-dimensional electron gas are considered promising candidates for developing topological elements that are easily controllable and scalable. Here, we theoretically study the possibility of the detection of topological superconductivity via the non-local spectroscopy technique. We show that the non-local conductance is related to the system band structure, allowing probe of the gap closing and reopening related to the topological transition. We demonstrate that the topological transition induces a change in the sign of the non-local conductance at zero energy due to the change in the quasiparticle character of the dispersion at zero momentum. Importantly, we find that the tunability of the superconducting phase difference via flux in hybrid Josephson junctions systems is strongly influenced by the strength of the Zeeman interaction, which leads to considerable modifications in the complete phase diagram that can be measured under realistic experimental conditions.

References in corpus (16)

• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Ballistic superconductivity in semiconductor nanowires
• Andreev rectifier: a nonlocal conductance signature of topological phase transitions
• Relating Andreev Bound States and Supercurrents in Hybrid Josephson Junctions
• Three-terminal nonlocal conductance in Majorana nanowires: Distinguishing topological and trivial in realistic systems with disorder and inhomogeneous potential
• Quantized and unquantized zero-bias tunneling conductance peaks in Majorana nanowires: Conductance below and above $2e^2/h$
• InSbAs two-dimensional electron gases as a platform for topological superconductivity
• Signatures of a topological phase transition in a planar Josephson junction
• Local and Nonlocal Transport Spectroscopy in Planar Josephson Junctions
• Robustness of Majorana bound states in the short junction limit
• Control of Andreev bound states using superconducting phase texture
• Parametric exploration of zero-energy modes in three-terminal InSb-Al nanowire devices
• How to measure the Majorana polarization of a topological planar Josephson junction
• Controlling Andreev bound states with the magnetic vector potential

Cited by in corpus (7)

• Theory of Majorana zero modes in unconventional superconductors
• Topological superconductivity in a magnetic-texture coupled Josephson junction
• Odd-frequency pairing due to Majorana and trivial Andreev bound states
• Multiple Majorana bound states and their resilience against disorder in planar Josephson junctions
• Magnetic field-free braiding and nontrivial fusion of Majorana bound states in high-temperature planar Josephson junctions
• Enhancement of the topological regime in elongated Josephson junctions
• Odd-frequency Pairing in Josephson Junctions Coupled by Magnetic Textures