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.
arXiv comment16 pages, 9 figures, Accepted Version
References in corpus (74)
- Unpaired Majorana fermions in quantum wires
- Topological superconductors: a review
- Odd Triplet Superconductivity and Related Phenomena in Superconductor-Ferromagnet Structures
- Symmetry and Topology in Non-Hermitian Physics
- Topological Origin of Non-Hermitian Skin Effects
- Majorana Zero Modes and Topological Quantum Computation
- Realizing Majorana zero modes in superconductor-semiconductor heterostructures
- Majorana Fermion Induced Resonant Andreev Reflection
- Majorana fermions in chains of magnetic atoms on a superconductor
- Symmetry and Topology in Superconductors - Odd-frequency pairing and edge states -
- Tunneling characteristic of a chain of Majorana bound states
- From Andreev to Majorana bound states in hybrid superconductor-semiconductor nanowires
- Near-zero-energy end states in topologically trivial spin-orbit coupled superconducting nanowires with a smooth confinement
- Transport spectroscopy of NS nanowire junctions with Majorana fermions
- Majorana Fermions and Topology in Superconductors
- Zero-voltage conductance peak from weak antilocalization in a Majorana nanowire
- Class D spectral peak in Majorana quantum wires
- Theory of the proximity effect in junctions with unconventional superconductors
- Majorana bound states from exceptional points in non-topological superconductors
- Local Density of States in a Dirty Normal Metal connected to a Superconductor
- Measuring Majorana non-locality and spin structure with a quantum dot
- Odd-frequency superconductivity
- 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
- Next steps of quantum transport in Majorana nanowire devices
- Anomalous charge transport in mesoscopic triplet superconductor junctions
- Zero-energy Andreev bound states from quantum dots in proximitized Rashba nanowires
- Disorder-induced zero-bias peaks in Majorana nanowires
- Majorana Fermions and Odd-frequency Cooper Pairs in a Nano Wire
- Supercurrent detection of topologically trivial zero-energy states in nanowire junctions
- Anomalous features of the proximity effect in triplet superconductors
- Majorana splitting from critical currents in Josephson junctions
- Theory of enhanced proximity effect by mid gap Andreev resonant state in diffusive normal metal / triplet superconductor junctions
- Majorana nanowires for topological quantum computation
- Anomalous Josephson effect in p-wave dirty junctions
- An experimentally accessible quality factor for Majorana wires
- Anomalous Surface Impedance due to Odd-frequency Cooper Pairs
- Odd-frequency superconducting pairing in one-dimensional systems
- Conductance Spectroscopy of Spin-triplet Superconductors
- Theory of Majorana zero modes in unconventional superconductors
- Visualising Majorana bound states in 1D and 2D using the generalized Majorana polarization
- Andreev spectrum and supercurrents in nanowire-based SNS junctions containing Majorana bound states
- Fate of Majorana zero modes, critical states and non-conventional real-complex transition in non-Hermitian quasiperiodic lattices
- The Role of Odd-Frequency Pairing in Multiband Superconductors
- Distinguishing trivial and topological zero energy states in long nanowire junctions
- Quantization of Conductance Minimum and Index Theorem
- Observation of triplet superconductivity in CoSi/TiSi heterostructures
- Anomalous Proximity Effect and Theoretical Design for its Realization
- Anisotropic topological superconductivity in Josephson junctions
- Odd-frequency pairing and proximity effect in Kitaev chain systems including topological critical point
- 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
- Theory of proximity effect in two-dimensional unconventional superconductor with Rashba spin-orbit interaction
- Localized states and skin effect around non-Hermitian impurities in tight-binding models
- Robust topological superconductivity in weakly coupled nanowire-superconductor hybrid structures
- Non-Hermitian zero-energy pinning of Andreev and Majorana bound states in superconductor-semiconductor systems
- Entanglement measures of Majorana bound states
- Stability of flat zero-energy states at the dirty surface of a nodal superconductor
- Anomalous Proximity Effect of Planer Topological Josephson Junctions
- Symmetry conditions of a nodal superconductor for generating robust flat-band Andreev bound states at its dirty surface
- Theory of proximity effect in -wave superconductor junctions
- Effect of topological length on Bound states signatures in a Topological nanowire
- Effects of the phase coherence on the local density of states in superconducting proximity structures
- Odd-frequency superconducting pairing due to multiple Majorana edge modes in driven topological superconductors
- Topological indicators for systems with open boundaries: Application to the Kitaev wire
- Electronic conduction and superconducting properties of CoSi films on silicon--an unconventional superconductor with technological potential
- 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