Anomalous proximity effect under Andreev and Majorana bound states
arXiv:2505.03726 · doi:10.1007/s10948-025-07057-9
Abstract
We theoretically study the anomalous proximity effect in a ballistic normal metal/diffusive normal metal/superconductor junction based on Rashba semiconductor nanowire model. The system hosts two distinct phases: a trivial helical phase with zero-energy Andreev Bound States and a topological phase with Majorana Bound States. We analyze the local density of states and induced pair correlations at the edge of the normal metal region. We investigate their behavior under scalar onsite disorder and changing the Superconductor and diffusive regions lengths in the trivial helical and topological phases. We find that both phases exhibit a zero-energy peak in the local density of states and spin-triplet pair correlations in the clean limit, which we attribute primarily to odd-frequency spin-triplet pairs. Disorder rapidly splits the zero-energy peak in the trivial helical phase regardless of the lengths of the superconductor and diffusive normal regions. The zero-energy peak in the topological phase show similar fragility when the superconductor region is short. However, for long superconductor regions, the zero-energy peak in the topological phase remain robust against disorder. In contrast, spin-singlet correlations are suppressed near zero energy in both phases. Our results highlight that the robustness of the zero-energy peak against scalar disorder, contingent on the Superconductor region length, serves as a key indicator distinguishing trivial Andreev bound states from topological Majorana bound states.
16 pages, 9 figures, Accepted Version
References in corpus (33)
- Topological Origin of Non-Hermitian Skin Effects
- Transport spectroscopy of NS nanowire junctions with Majorana fermions
- Theory of the proximity effect in junctions with unconventional superconductors
- SNS junctions in nanowires with spin-orbit coupling: role of confinement and helicity on the sub-gap spectrum
- Odd-frequency pairing in normal metal/superconductor junctions
- Majorana Fermions and Odd-frequency Cooper Pairs in a Nano Wire
- Majorana splitting from critical currents in Josephson junctions
- Majorana nanowires for topological quantum computation
- Anomalous Josephson effect in p-wave dirty junctions
- Conductance Spectroscopy of Spin-triplet Superconductors
- Theory of Majorana zero modes in unconventional superconductors
- Anomalous Proximity Effect and Theoretical Design for its Realization
- Anisotropic topological superconductivity in Josephson junctions
- Majorana/Andreev crossover and the fate of the topological phase transition in inhomogeneous nanowires
- Zero-frequency supercurrent susceptibility signatures of trivial and topological zero-energy states in nanowire junctions
- Non-Hermitian phase-biased Josephson junctions
- Bulk Bogoliubov Fermi arcs in non-Hermitian superconducting systems
- Near zero-energy Caroli-de Gennes-Matricon vortex states in the presence of impurities
- Identifying trivial and Majorana zero-energy modes using the Majorana polarization
- Mitigating disorder-induced zero-energy states in weakly-coupled semiconductor-superconductor hybrid systems
- Localized states and skin effect around non-Hermitian impurities in tight-binding models
- Non-Hermitian zero-energy pinning of Andreev and Majorana bound states in superconductor-semiconductor systems
- Robust topological superconductivity in weakly coupled nanowire-superconductor hybrid structures
- Entanglement measures of Majorana bound states
- Theory of proximity effect in -wave superconductor junctions
- Effects of the phase coherence on the local density of states in superconducting proximity structures
- Effect of topological length on Bound states signatures in a Topological nanowire
- Electronic conduction and superconducting properties of CoSi films on silicon--an unconventional superconductor with technological potential
- Topological indicators for systems with open boundaries: Application to the Kitaev wire
- Odd-frequency superconducting pairing due to multiple Majorana edge modes in driven topological superconductors
- Proximity effect of time-reversal symmetry broken non-centrosymmetric superconductors
- Reply to "Comment on 'Trivial Andreev Band Mimicking Topological Bulk Gap Reopening in the Nonlocal Conductance of Long Rashba Nanowires'"
- Odd-frequency pairs and anomalous proximity effect in nematic and chiral states of superconducting topological insulators