High critical temperature nodal superconductors as building block for time-reversal invariant topological superconductivity
arXiv:1611.06549 · doi:10.1103/PhysRevB.94.134518
Abstract
We study possible applications of high critical temperature nodal superconductors for the search for Majorana bound states in the DIII class. We propose a microscopic analysis of the proximity effect induced by d-wave superconductors on a semiconductor wire with strong spin-orbit coupling. We characterize the induced superconductivity on the wire employing a numerical self-consistent tight-binding Bogoliubov-de Gennes approach, and analytical considerations on the Green's function. The order parameter induced on the wire, the pair correlation function, and the renormalization of the Fermi points are analyzed in detail, as well as the topological phase diagram in the case of weak coupling. We highlight optimal Hamiltonian parameters to access the nontrivial topological phase which could display time-reversal invariant Majorana doublets at the boundaries of the wire.
References in corpus (47)
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Unpaired Majorana fermions in quantum wires
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Classification of topological insulators and superconductors in three spatial dimensions
- Helical liquids and Majorana bound states in quantum wires
- New directions in the pursuit of Majorana fermions in solid state systems
- Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
- Search for Majorana fermions in superconductors
- Majorana fermions in a tunable semiconductor device
- Majorana Zero Modes and Topological Quantum Computation
- Topological Defects and Gapless Modes in Insulators and Superconductors
- Superconductor-Nanowire Devices from Tunneling to the Multichannel Regime: Zero-Bias Oscillations and Magnetoconductance Crossover
- Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
- Electrically detected interferometry of Majorana fermions in a topological insulator
- Probing Neutral Majorana Fermion Edge Modes with Charge Transport
- Manipulation of Majorana fermion, Andreev reflection and Josephson current on topological insulators
- Unconventional superconductivity on a topological insulator
- Inhomogeneous Pairing in Highly Disordered s-wave Superconductors
- Fermi Surface Topological Invariants for Time Reversal Invariant Superconductors
- Time Reversal Invariant Topological Superconductivity and Majorana Kramers Pairs
- Anomalous Josephson effect induced by spin-orbit interaction and Zeeman effect in semiconductor nanowires
- Spin and Majorana polarization in topological superconducting wires
- Quantum transport in Rashba spin-orbit materials: A review
- Engineering a p+ip Superconductor: Comparison of Topological Insulator and Rashba Spin-Orbit Coupled Materials
- Majorana fermions in superconducting nanowires without spin-orbit coupling
- Probability distribution of Majorana end-state energies in disordered wires
- Universal transport signatures of Majorana fermions in superconductor-Luttinger liquid junctions
- Majorana Kramers Doublets in -wave Superconductors with Rashba Spin-Orbit Coupling
- Andreev reflection from non-centrosymmetric superconductors and Majorana bound state generation in half-metallic ferromagnets
- Self-consistent solution for proximity effect and Josephson current in ballistic graphene SNS Josephson junctions
- Non-Abelian Majorana Doublets in Time-Reversal Invariant Topological Superconductor
- Spin Orbit coupling and Anomalous Josephson effect in Nanowires
- Proximity effect, quasiparticle transport, and local magnetic moment in ferromagnet-d-wave superconductor junctions
- Visualising Majorana bound states in 1D and 2D using the generalized Majorana polarization
- Helical Andreev bound states and superconducting Klein tunneling in topological insulator Josephson junctions
- Topological Superconductor-Luttinger Liquid Junctions
- From Andreev bound states to Majorana fermions in topological wires on superconducting substrates : a story of mutation
- Half-metallic Surface States and Topological Superconductivity in NaCoO from first principles
- No-go theorem for a time-reversal invariant topological phase in noninteracting systems coupled to conventional superconductors
- Topological superconductivity and Majorana fermions in hybrid structures involving cuprate high-T_c superconductors
- Advantages of using YBCO-Nanowire-YBCO heterostructures in the search for Majorana Fermions
- Realizing Majorana Zero Modes by Proximity Effect between Topological Insulators and d-wave High-Temperature Superconductors
- Competing Boundary Interactions in a Josephson Junction Network with an Impurity
- Josephson current through a long quantum wire
- Boundary Field Theory Approach to the Renormalization of SQUID Devices
- Suspended InAs nanowire Josephson junctions assembled via dielectrophoresis