Majorana transport in superconducting nanowire with Rashba and Dresselhaus spin-orbit couplings

Abstract

Tunneling experiment is a key technique for detecting Majorana fermion in solid state systems. We use Keldysh non-equilibrium Green function method to study multi-lead tunneling in superconducting nanowire with Rashba and Dresselhaus spin-orbit couplings. A zero-bias \textit{dc} conductance peak appears in our setup which signifies the existence of Majorana fermion and is in accordance with previous experimental results on InSb nanowire. Interestingly, due to the exotic property of Majorana fermion, there exists a hole transmission channel which makes the currents asymmetric at the left and right leads. The \textit{ac} current response mediated by Majorana fermion is also studied here. To discuss the impacts of Coulomb interaction and disorder on the transport property of Majorana nanowire, we use the renormalization group method to study the phase diagram of the wire. It is found that there is a topological phase transition under the interplay of superconductivity and disorder. We find that the Majorana transport is preserved in the superconducting-dominated topological phase and destroyed in the disorder-dominated non-topological insulator phase.

References in corpus (14)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• 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 a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Observing Majorana Bound States in p-wave Superconductors Using Noise Measurements in Tunneling Experiments
• Non-Abelian Topological Orders and Majorana Fermions in Spin-Singlet Superconductors
• Interaction Effects in Topological Superconducting Wires Supporting Majorana Fermions
• Probing Majorana Physics in Quantum Dot Shot Noise Experiments
• Spin-orbital effects in magnetized quantum wires and spin chains
• Parity independence of the zero-bias conductance peak in a nanowire based topological superconductor-quantum dot hybrid device
• Manipulating Majorana Fermions in Quantum Nanowires with Broken Inversion Symmetry