Resilience of topological superconductivity under particle current

Abstract

We investigate the robustness of topological superconductors under the perturbing influence of a finite charge current. To this aim, we introduce a modified Kitaev Hamiltonian parametrically dependent on the quasiparticle momentum induced by the current. Using different quantifiers of the topological phase, such as the Majorana polarization and the edge state quantum conditional mutual information, we prove the existence of a finite critical value of the quasiparticle momentum below which edge modes and topological superconductivity survive. We also discuss how a finite current breaks time reversal symmetry and changes the topological class in the Altland-Zirnbauer classification scheme compared to the case of isolated systems. Our findings provide a nontrivial example of the interplay between topology and the nonequilibrium physics of open quantum systems, a relation of crucial importance in the quest to a viable topological quantum electronics.

8 pages, 3 figures, regular paper

References in corpus (13)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
• Scaling of Majorana Zero-Bias Conductance Peaks
• Multichannel Generalization of Kitaev's Majorana End States and a Practical Route to Realize Them in Thin Films
• Observing Majorana Bound States in p-wave Superconductors Using Noise Measurements in Tunneling Experiments
• Kitaev chains with long-range pairing
• Zero bias conductance peak in Majorana wires made of semiconductor-superconductor hybrid structures
• Mutation of Andreev into Majorana bound states in long NS and SNS junctions
• Unveiling Signatures of Topological Phases in Open Kitaev Chains and Ladders
• Testing the formation of Majorana states using the Majorana Polarization
• Topological phases of an interacting Majorana Benalcazar-Bernevig-Hughes model
• Edge states, Majorana fermions and topological order in superconducting wires with generalized boundary conditions

Cited by in corpus (2)

• Squashed entanglement in one-dimensional quantum matter
• Electron density and compressibility in the Kitaev model with a spatially modulated Phase in the superconducting pairing