Dynamics of hybrid junctions of Majorana wires

Abstract

We investigate the dynamics of hybrid junctions made of the topological superconductor (TS) and normal metal (N) wires. We consider an X-Y-Z configuration for the junctions where X, Y, Z = TS, N. We assume the wires X and Z being semi-infinite and in thermal equilibrium. We connect the wires X and Z through the short Y wire at some time, and numerically study time-evolution of the full device. For TS-N-TS device, we find a persistent, oscillating electrical current at both junctions even when there is no thermal or voltage bias, and the TS wires are identical. The amplitude and period of the oscillating current depend on the initial conditions of the middle N wire indicating the absence of thermalization. This zero-bias current vanishes at a long time for any of X and Z being an N wire or a TS wire near a topological phase transition. Using properties of different bound states within the superconducting gap, we develop a clear understanding of the oscillating currents.

10 pages, 6 figures

References in corpus (13)

• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• Observing Majorana Bound States in p-wave Superconductors Using Noise Measurements in Tunneling Experiments
• Decoherence induced by interacting quantum spin baths
• Majorana splitting from critical currents in Josephson junctions
• Supercurrent blockade in Josephson junctions with a Majorana wire
• Quench dynamics and parity blocking in Majorana wires
• Majorana fermions in an out-of-equilibrium topological superconducting wire: an exact microscopic transport analysis of a p-wave open chain coupled to normal leads
• Quench dynamics in superconducting nanojunctions: metastability and dynamical Yang-Lee zeros
• Universal nonequilibrium signatures of Majorana zero modes in quench dynamics

Cited by in corpus (11)

• A many-body approach to transport in quantum systems: From the transient regime to the stationary state
• Time scales for charge-transfer based operations on Majorana systems
• Anomalous dynamical response of non-Hermitian topological phases
• Electron correlation effects in superconducting nanowires in and out of equilibrium
• Phase diagram of a model for topological superconducting wires
• Transient dynamics of a magnetic impurity coupled to superconducting electrodes: exact numerics versus perturbation theory
• Transport features of a topological superconducting nanowire with a quantum dot: conductance and noise
• Many-body localization proximity effect in two-species bosonic Hubbard model
• Transient effects in quantum dots contacted via topological superconductor
• Absence of thermalization of free systems coupled to gapped interacting reservoirs
• Detecting winding and Chern numbers in topological matter using spectral function