Band twisting and resilience to disorder in long-range topological superconductors
arXiv:1903.06175 · doi:10.1103/PhysRevB.100.014508
Abstract
Planar topological superconductors with power-law-decaying pairing display different kinds of topological phase transitions where quasiparticles dubbed nonlocal-massive Dirac fermions emerge. These exotic particles form through long-range interactions between distant Majorana modes at the boundary of the system. We show how these propagating-massive Dirac fermions neither mix with bulk states nor Anderson-localize up to large amounts of static disorder despite being finite energy. Analyzing the density of states (DOS) and the band spectrum of the long-range topological superconductor, we identify the formation of an edge gap and a surprising double peak structure in the DOS which can be linked to a twisting of energy bands with nontrivial topology. Our findings are amenable to experimental verification in the near future using atom arrays on conventional superconductors, planar Josephson junctions on two-dimensional electron gases, and Floquet driving of topological superconductors.
arXiv comment9 pages, 8 figures
References in corpus (67)
- Topological Insulators
- Topological insulators and superconductors
- Non-Abelian Anyons and Topological Quantum Computation
- 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
- Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
- Classification of topological insulators and superconductors in three spatial dimensions
- Helical liquids and Majorana bound states in quantum wires
- Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- A generic new platform for topological quantum computation using semiconductor heterostructures
- Non-Abelian statistics and topological quantum information processing in 1D wire networks
- Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
- Quantum Error Correction for Quantum Memories
- Majorana fermions in a tunable semiconductor device
- Observation of the fractional ac Josephson effect: the signature of Majorana particles
- Exponential Protection of Zero Modes in Majorana Islands
- Majorana bound states in a coupled quantum-dot hybrid-nanowire system
- Realizing Majorana zero modes in superconductor-semiconductor heterostructures
- Superconductor-Nanowire Devices from Tunneling to the Multichannel Regime: Zero-Bias Oscillations and Magnetoconductance Crossover
- Majorana fermions in chains of magnetic atoms on a superconductor
- Observation of Majorana fermions with spin selective Andreev reflection in the vortex of topological superconductor
- Majorana mode in vortex core of Bi2Te3/NbSe2 topological insulator-superconductor heterostructure
- The Coexistence of Superconductivity and Topological Order in the Bi2Se3 Thin Films
- Topological Superconductivity and Majorana Fermions in RKKY Systems
- Topological superconducting phase in helical Shiba chains
- Non-Abelian quantum order in spin-orbit-coupled semiconductors: The search for topological Majorana particles in solid state systems
- Chiral Majorana edge state in a quantum anomalous Hall insulator-superconductor structure
- Evidence of topological superconductivity in planar Josephson junctions
- Interplay between classical magnetic moments and superconductivity in quantum one-dimensional conductors: toward a self-sustained topological Majorana phase
- End states and subgap structure in proximity-coupled chains of magnetic adatoms
- Subwavelength vacuum lattices and atom-atom interactions in photonic crystals
- Probing Atomic Structure and Majorana Wavefunctions in Mono-Atomic Fe-chains on Superconducting Pb-Surface
- Topological Superconductivity in a Planar Josephson Junction
- Kitaev chains with long-range pairing
- Long range coherent magnetic bound states in superconductors
- Two-dimensional topological superconductivity in Pb/Co/Si(111)
- Majorana Fermions in superconducting wires: effects of long-range hopping, broken time-reversal symmetry and potential landscapes
- Single magnetic adsorbates on s-wave superconductors
- Majorana zero modes in a quantum Ising chain with longer-ranged interactions
- Two-dimensional superconductivity at the interface of a Bi2Te3/FeTe heterostructure
- A novel platform for two-dimensional chiral topological superconductivity
- Long-range Ising and Kitaev Models: Phases, Correlations and Edge Modes
- Exploring a proximity-coupled Co chain on Pb(110) as a possible Majorana platform
- Unconventional topological phase transitions in helical Shiba chains
- Mapping the orbital structure of impurity bound states in a superconductor
- Topological Massive Dirac Edge Modes and Long-Range Superconducting Hamiltonians
- Probing the role of long-range interactions in the dynamics of a long-range Kitaev Chain
- Extended Kitaev chain with longer-range hopping and pairing
- Floquet engineering of long-range p-wave superconductivity
- Kaleidoscope of quantum phases in a long-range interacting spin-1 chain
- Long-range topological insulators and weakened bulk-boundary correspondence
- Topological phases with long-range interactions
- Topological Quantum Liquids with Long-Range Couplings
- Chiral Topological Superconductors Enhanced by Long-Range Interactions
- Braiding of Atomic Majorana Fermions in Wire Networks and Implementation of the Deutsch-Josza Algorithm
- Robustness of quantum memories based on Majorana zero modes
- Singular dynamics and emergence of nonlocality in long-range quantum models
- Current transport properties and phase diagram of a Kitaev chain with long-range pairing
- Long-range Kitaev Chains via Planar Josephson Junctions
- Asymptotic behavior of impurity-induced bound states in low-dimensional topological superconductors
- Edge insulating topological phases in a two-dimensional long-range superconductor
- Shiba chains of scalar impurities on unconventional superconductors
- Topological state engineering by potential impurities on chiral superconductors
- Staircase to Higher-Order Topological Phase Transitions