Odd-frequency Cooper pair amplitude around a vortex core in a chiral p-wave superconductor in the quantum limit

Abstract

Solving the Bogoliubov-de Gennes equation, we study the spatial structure of odd-frequency s-wave Cooper pair amplitudes at each quantized energy level of vortex bound states in chiral p-wave superconductors. For zero energy Majorana states, the odd-frequency s-wave pair amplitude has the same spatial structure as that of the local density of states even in atomic length scale. This relation also holds in finite energy bound states for single vortex winding anti-parallel to the chirality, but not for parallel vortex winding. The double winding vortex case is also studied.

arXiv comment6 pages, 4 figures

References in corpus (54)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• A generic new platform for topological quantum computation using semiconductor heterostructures
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Odd Triplet Superconductivity and Related Phenomena in Superconductor-Ferromagnet Structures
• Majorana fermions in a tunable semiconductor device
• Vortices and Superfluidity in a Strongly Interacting Fermi Gas
• Majorana Fermion Induced Resonant Andreev Reflection
• Long-range effects in superconductor-ferromagnet structures
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Electrically detected interferometry of Majorana fermions in a topological insulator
• Probing Neutral Majorana Fermion Edge Modes with Charge Transport
• Symmetry and Topology in Superconductors - Odd-frequency pairing and edge states -
• Manipulation of Majorana fermion, Andreev reflection and Josephson current on topological insulators
• Unconventional superconductivity on a topological insulator
• Triplet supercurrents in clean and disordered half-metallic ferromagnets
• Multichannel Generalization of Kitaev's Majorana End States and a Practical Route to Realize Them in Thin Films
• Non-Abelian Topological Orders and Majorana Fermions in Spin-Singlet Superconductors
• Theory of the proximity effect in junctions with unconventional superconductors
• Proximity effect at the superconductor - topological insulator interface
• Symmetries of Pairing Correlations in Superconductor-Ferromagnet Nanostructures
• Low-lying Quasiparticle Excitations around a Vortex Core in Quantum Limit
• Odd-frequency pairing in normal metal/superconductor junctions
• Josephson Effect due to Odd-frequency Pairs in Diffusive Half Metals
• Anomalous charge transport in mesoscopic triplet superconductor junctions
• Edge states of Sr${}_2$RuO${}_4$ detected by in-plane tunneling spectroscopy
• Circuit theory of unconventional superconductor junctions
• Anomalous features of the proximity effect in triplet superconductors
• Theory of enhanced proximity effect by mid gap Andreev resonant state in diffusive normal metal / triplet superconductor junctions
• Anomalous Josephson effect in p-wave dirty junctions
• Collisional Properties of p-Wave Feshbach Molecules
• Zero modes of two-dimensional chiral p-wave superconductors
• An Index Theorem for the Majorana Zero Modes in Chiral P-Wave Superconductors
• Pairing symmetry conversion by spin-active interfaces in superconducting junctions
• A phenomenological theory of zero-energy Andreev resonant states
• Conductance Spectroscopy of Spin-triplet Superconductors
• Role of the Majorana Fermion and the Edge Mode in Chiral Superfluidity near a p-Wave Feshbach Resonance
• Vortices in chiral, spin-triplet superconductors and superfluids
• Vortex Charging Effect in a Chiral $p_x\pm i{p}_y$-Wave Superconductor
• Phase-Sensitive Impurity Effects in Vortex Core of Moderately Clean Chiral Superconductors
• Theory of pairing symmetry inside the Abrikosov vortex core
• Vortex structures and zero energy states in the BCS-to-BEC evolution of p-wave resonant Fermi gases
• Model for Vortex-core tunneling spectroscopy of chiral p-wave superconductors via odd-frequency pairing states
• Theory of Josephson effect in unconventional superconducting junctions with diffusive barriers
• Quantum limiting behaviors of a vortex core in an anisotropic gap superconductor
• Kramer-Pesch effect in chiral p-wave superconductors
• Odd-frequency Cooper pairs and zero-energy surface bound states in superfluid 3He
• Numerical Study of Impurity Effects on Quasiparticles within S-wave and Chiral P-wave Vortices
• Evolution of Edge States and Critical Phenomena in the Rashba Superconductor with Magnetization
• Dirac returns: non-Abelian statistics of vortices with Dirac fermions
• Theory of pairing symmetry in Fulde-Ferrell-Larkin-Ovchinnikov vortex state and vortex lattice
• Zero Energy Modes and Statistics of Vortices in Spinful Chiral p-Wave Superfluids
• Theory of Josephson effect in chiral p-wave superconductor / diffusive normal metal / chiral p-wave superconductor junctions
• Majorana fermions manifested as interface-states in semiconductor hybrid structures

Cited by in corpus (15)

• Odd-frequency superconductivity
• Symmetry Protected Topological Superfluids and Superconductors --- From the Basics to ${}^3$He ---
• Symmetry Protected Topological Superfluid ${}^3$He-B
• Topological phases of quasi-one-dimensional fermionic atoms with a synthetic gauge field
• Odd-frequency pair in topological superconductivity of 1D magnetic chain
• Electronic properties of emergent topological defects in chiral $p$-wave superconductivity
• Probing vortex Majorana fermions and topology in semiconductor-superconductor heterostructures
• Odd-frequency pairing and Ising spin susceptibility in time-reversal invariant superfluids and superconductors
• Site-selective NMR for odd-frequency Cooper pairs around vortex in chiral p-wave superconductors
• Local density of states in two-dimensional topological superconductors under a magnetic field: signature of an exterior Majorana bound state
• Anisotropic paramagnetic response of topological Majorana surface states in the superconductor ${\text{UTe}}_2$
• Spectroscopic and optical response of odd-frequency superconductors
• Odd-frequency Pairing in the Edge States of Superconducting Pnictides in the Coexistence Phase with Antiferromagnetism
• Predicting topological invariants and unconventional superconducting pairing from density of states and machine learning
• Odd-frequency pairs and anomalous proximity effect in nematic and chiral states of superconducting topological insulators