From Topological Superconductivity to Quantum Hall States in Coupled Wires
arXiv:1910.04816 · doi:10.1103/PhysRevB.101.085116
Abstract
We present a theoretical study of the interplay between topological p-wave superconductivity, orbital magnetic fields and quantum Hall phases in coupled wire systems. First, we calculate the phase diagram and physical observables of a fermionic ladder made of two coupled Kitaev chains, and discuss the presence of two and four Majorana zero modes. Second, we analyze hybrid systems consisting of a Kitaev chain coupled to a Luttinger liquid. By tuning the magnetic field and the carrier density, we identify quantum Hall and charge density wave phases, as well as regimes in which superconductivity is induced in the second chain by proximity effect. Finally, we consider two-dimensional systems made of weakly coupled ladders. There, we engineer a superconductor and describe a generalization of the fractional quantum Hall phase. These phases might be realized in solid-state or cold-atom nanowires.
arXiv comment27 pages, 11 Figures - Final Version
References in corpus (71)
- Non-Abelian Anyons and Topological Quantum Computation
- Berry Phase Effects on Electronic Properties
- Anyons in an exactly solved model and beyond
- 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
- Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
- Helical liquids and Majorana bound states in quantum wires
- New directions in the pursuit of Majorana fermions in solid state systems
- A generic new platform for topological quantum computation using semiconductor heterostructures
- Bosonization and Strongly Correlated Systems
- Observation of the fractional ac Josephson effect: the signature of Majorana particles
- Majorana bound states in a coupled quantum-dot hybrid-nanowire system
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- Spin-orbit coupling in quantum gases
- Topological phases of fermions in one dimension
- Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
- Visualizing edge states with an atomic Bose gas in the quantum Hall regime
- Resonantly-paired fermionic superfluids
- Electron Teleportation via Majorana Bound States in a Mesoscopic Superconductor
- Flux-controlled quantum computation with Majorana fermions
- The Fractional Quantum Hall effect in an array of quantum wires
- Interaction Effects in Topological Superconducting Wires Supporting Majorana Fermions
- Topology by dissipation
- From Luttinger liquid to non-Abelian quantum Hall states
- Majorana edge states in interacting one-dimensional systems
- Artificial gauge fields in materials and engineered systems
- Quantum Hall Physics - hierarchies and CFT techniques
- Direct observation of chiral currents and magnetic reflection in atomic flux lattices
- The N-chain Hubbard Model in Weak Coupling
- Exact ground states and topological order in interacting Kitaev/Majorana chains
- Spin-orbit coupling and spin Hall effect for neutral atoms without spin-flips
- Superconductivity close to the Mott state: From condensed-matter systems to superfluidity in optical lattices
- Wire deconstructionism of two-dimensional topological phases
- Synthetic spin-orbit coupling in an optical lattice clock
- Kramers Pairs of Majorana Fermions and Parafermions in Fractional Topological Insulators
- Bosonic Mott Insulator with Meissner Currents
- Fractional charges on an integer quantum Hall edge
- Spin Gap Fixed Points in the Double Chain Problem
- Chiral Mott Insulators, Meissner Effect, and Laughlin States in Quantum Ladders
- Laughlin-like states in bosonic and fermionic atomic synthetic ladders
- Entangling strings of neutral atoms in 1D atomic pipeline structures
- Topological Superconducting Phases of Weakly Coupled Quantum Wires
- Topological indices, defects and Majorana fermion in chiral superconductors
- Realization of Fractional Chern Insulators in the Thin-Torus-Limit with Ultracold Bosons
- Pairing in Luttinger Liquids and Quantum Hall States
- Majorana Fermions and Multiple Topological Phase Transition in Kitaev Ladder Topological Superconductors
- Chiral currents in one-dimensional fractional quantum Hall states
- Precursor of Laughlin state of hard core bosons on a two leg ladder
- A Josephson frequency for fractionally charged anyons
- Realizing one-dimensional topological superfluids with ultracold atomic gases
- Phases of the two-band model of spinless fermions in one dimension
- Luttinger States at the Edge
- Successive opening of the Fermi surface in doped N-leg Hubbard ladders
- Low-field Topological Threshold in Majorana Double Nanowires
- Universal Hall Response in Synthetic Dimensions
- Pretopological fractional excitations in the two-leg flux ladder
- Fractional chiral superconductors
- Majorana Spin Liquids, Topology and Superconductivity in Ladders
- Phase Diagram and Entanglement of two interacting topological Kitaev chains
- Noninvasive Probe of Charge Fractionalization in Quantum Spin-Hall Insulators
- Bipartite charge fluctuations in one-dimensional superconductors and insulators
- Stable p-wave resonant two-dimensional Fermi-Bose dimers
- Compressibility as a probe of quantum phase transitions in topological superconductors
- Andreev scattering in the asymmetric ladder with preformed bosonic pairs
- Engineering Quantum Spin Liquids and Many-Body Majorana States with a Driven Superconducting Box Circuit
- Topological Superconductors and Category Theory
- Discontinuous current-phase relations in small 1D Josephson junction arrays
- Effect of interaction on the Majorana zero modes in the Kitaev chain at half filling
- Valence bond fluctuations in the Kitaev spin model
- Real-Time Ramsey Interferometry in Fractional Quantum Hall States
Cited by in corpus (11)
- Floquet topological phases with fourfold-degenerate edge modes in a driven spin-1/2 Creutz ladder
- Non-Hermitian Floquet phases with even-integer topological invariants in a periodically quenched two-leg ladder
- Coupled wire construction of a topological phase with chiral tricritical Ising edge modes
- Exploring helical phases of matter in bosonic ladders
- Ground-state properties of electron-electron biwire systems
- Drude weight increase by orbital and repulsive interactions in fermionic ladders
- Chiral topologically ordered insulating phases in arrays of interacting integer quantum Hall islands
- A Model for Topological p-wave Superconducting Wires with Disorder and Interactions
- Realization of the Non-endpoint Majorana Bound States in an Extended Kitaev Chain
- Dihedral twist liquid models from emergent Majorana fermions
- Tuning the topology of -wave superconductivity in an analytically solvable two-band model