Transport theory for topological Josephson junctions with a Majorana qubit
arXiv:2204.09923 · doi:10.1103/PhysRevLett.129.257001
Abstract
We construct a semiclassical theory for the transport of topological junctions starting from a microscopic Hamiltonian that comprehensively includes the interplay among the Majorana qubit, the Josephson phase, and the dissipation process. With the path integral approach, we derive a set of semiclassical equations of motion that can be used to calculate the time evolution of the Josephson phase and the Majorana qubit. In the equations we reveal rich dynamical phenomena such as the qubit induced charge pumping, the effective spin-orbit torque, and the Gilbert damping. We demonstrate the influence of these dynamical phenomena on the transport signatures of the junction. We apply the theory to study the Shapiro steps of the junction, and find the suppression of the first Shapiro step due to the dynamical feedback of the Majorana qubit.
6 pages, 3 figures
References in corpus (14)
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
- Majorana splitting from critical currents in Josephson junctions
- Decoherence of superconducting qubits caused by quasiparticle tunneling
- Quantum-Dot Parity Effects in Trivial and Topological Josephson Junctions
- Detecting topological superconductivity using low-frequency doubled Shapiro steps
- Parity anomaly and spin transmutation in quantum spin Hall Josephson junctions
- Anomalous Floquet Chiral Topological Superconductivity in a Topological Insulator Sandwich Structure
- Conductance spectroscopy of nontopological-topological superconductor junctions
- Voltage staircase in a current-biased quantum-dot Josephson junction
- Majorana-induced DC Shapiro steps in topological Josephson junctions
- Thermodynamics in topological Josephson junctions
- Critical current for an insulating regime of an underdamped current-biased topological Josephson junction
- Chiral topological superconductivity in Josephson junction