Quantum transport theory of hybrid superconducting systems
arXiv:2304.11402 · doi:10.1103/PhysRevB.108.195402
Abstract
We present a quantum transport theory for hybrid superconducting systems based on our exact master equation approach. The total transient transport current is decomposed into components that describe coherent transports through different paths of particle and hole channels. We show that the coherent transports are resultant interferences of numerous repeated tunneling processes and cannot be rendered as a simple normal transmission or Andreev reflection as usually described quantum transport involving superconductivity. As a practical application, we find that the coherent transport currents passing through a pair of well-separated Majorana zero modes vanish due to the totally destructive interference between the particle and hole channels.
References in corpus (14)
- Non-Abelian Anyons and Topological Quantum Computation
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- SNS junctions in nanowires with spin-orbit coupling: role of confinement and helicity on the sub-gap spectrum
- Andreev rectifier: a nonlocal conductance signature of topological phase transitions
- Roadmap to Majorana surface codes
- Probing Majorana Physics in Quantum Dot Shot Noise Experiments
- Thermal Instability of Protected End States in a 1-D Topological Insulator
- Real-time dynamics of spin-dependent transport through a double-quantum-dot Aharonov-Bohm interferometer with spin-orbit interaction
- Majorana differential shot noise and its universal thermoelectric crossover
- Strong Coupling Quantum Thermodynamics far away from Equilibrium: Non-Markovian Transient Quantum Heat and Work
- Exact Master Equation for Quantum Brownian Motion with Generalization to Momentum-Dependent System-Environment Couplings
- Master equation approach for transport through Majorana zero modes
- The differential conductance tunnel spectroscopy in an analytical solvable two-terminal Majorana device