Persistent current and zero-energy Majorana modes in a p-wave disordered superconducting ring

Abstract

We discuss the emergence of zero-energy Majorana modes in a disordered finite-length p-wave one-dimensional superconducting ring, pierced by a magnetic flux $\Phi$ tuned at an appropriate value $\Phi ={\Phi }_{\ast }$. In the absence of fermion parity conservation, we evidence the emergence of the Majorana modes by looking at the discontinuities in the persistent current $I[\Phi ]$ at $\Phi ={\Phi }_{\ast }$. By monitoring the discontinuities in $I[\Phi ]$, we map out the region in parameter space characterized by the emergence of Majorana modes in the disordered ring.

22 pages, 12 .eps figures

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• Disorder-induced Majorana zero modes in a dimerized Kitaev superconductor chain
• Lindblad equation approach to the optimal working point in nonequilibrium stationary states of an interacting electronic one-dimensional system: Application to the spinless Hubbard chain in the clean and in the weakly disordered limit
• The fate of high winding number topological phases in the disordered extended Su-Schrieffer-Heeger model
• Zero-frequency supercurrent susceptibility signatures of trivial and topological zero-energy states in nanowire junctions
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• Signatures of Majorana bound states and parity effects in two-dimensional chiral p-wave Josephson junctions
• Anatomy of topological Anderson transitions
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• Coexistence of Strong and Weak Majorana Zero Modes in Anisotropic XY Spin Chain with Second-Neighbor Interaction
• Phase diagram of the disordered Kitaev chain with long range pairing connected to external baths
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• Exactly solvable chain of interacting electrons with correlated hopping and pairing
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• Realization of the Non-endpoint Majorana Bound States in an Extended Kitaev Chain
• Kitaev ring threaded by a magnetic flux: Topological gap, Anderson localization of quasiparticles, and divergence of supercurrent derivative
• Topological phases in the presence of disorder and longer-range couplings
• Fingerprints of Majorana bound states in quantum-rings
• Majorana Bound States hallmark in a quantum topological interferometer ring
• Persistent current in 2D topological superconductors
• Charge current and phase diagram of the disordered open longer-range Kitaev chain
• Josephson and persistent currents in a quantum ring between topological superconductors