Supercurrent-induced topological phase transitions

Abstract

We show that finite current in superconductors can induce topological phase transitions, as a result of the deformation of the quasiparticle spectrum by a finite center-of-mass (COM) momentum of the Cooper pairs. To show the wide applicability of this mechanism, we examine the topological properties of three prototypical systems, the Kitaev chain, $s$-wave superconductors, and $d$-wave superconductors. We introduce a finite COM momentum as an external field corresponding to supercurrent and show that all the models exhibit current-induced topological phase transitions. We also discuss the possibility of observing the phase transitions in experiments and the relation to the other finite COM momentum pairing states.

12 pages, 5 figures

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• Meissner effect induced Majorana zero modes at small magnetic field
• Off-diagonal long-range order in the ground state of the Kitaev chain
• Cavity-mediated superconductor$\unicode{x2013}$ferromagnetic insulator coupling
• Simulation of Kitaev model using one-dimensional chain of superconducting qubits and environmental effect on topological states
• Lifshitz transitions and Weyl semimetals from a topological superconductor with supercurrent flow
• Superconducting triangular islands as a platform for manipulating Majorana zero modes
• Polarity of the fermionic condensation in the $p$-wave Kitaev model on a square lattice
• Supercurrent-induced antiferromagnetic order and spin-triplet pair generation in quantum critical d-wave superconductors
• Electron density and compressibility in the Kitaev model with a spatially modulated Phase in the superconducting pairing
• Field-free Superconducting Diode Effect and Topological Fulde-Ferrell Superconductivity in Altermagnetic Shiba Chains
• Superconducting magnetoelectric effects in mesoscopic hybrid structures
• Supercurrent effect in a charge density wave intertwined superconductor