Parafermions in Interacting Nanowire Bundle

Abstract

We propose a scheme to induce ${\mathbb{Z}}_3$ parafermion modes, exotic zero-energy bound states that possess non-Abelian statistics. We consider a minimal setup consisting of a bundle of four tunnel coupled nanowires hosting spinless electrons that interact strongly with each other. The hallmark of our setup is that it relies only on simple one-dimensional wires, uniform magnetic fields, and strong interactions, but does not require the presence of superconductivity or exotic quantum Hall phases.

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Cited by in corpus (91)

• Topological phases with parafermions: theory and blueprints
• Time-Reversal Invariant Parafermions in Interacting Rashba Nanowires
• Exact ground states and topological order in interacting Kitaev/Majorana chains
• Time-Reversal-Invariant $Z_4$ Fractional Josephson Effect
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• Template-assisted scalable nanowire networks
• Majorana nanowires for topological quantum computation
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• Non-Abelian parafermions in time-reversal invariant interacting helical systems
• Stability of zero modes in parafermion chains
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• Majorana Fermions in Ge/Si Hole Nanowires
• Non-Abelian topological insulators from an array of quantum wires
• Quantum Spin Hall Effect in Strip of Stripes Model
• Phase diagram of the $Z_3$ Parafermionic Chain with Chiral Interactions
• Quantum Computing with Parafermions
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• Assembling Fibonacci Anyons From a ${\mathbb{Z}}_3$ Parafermion Lattice Model
• Fractional Charge and Spin States in Topological Insulator Constrictions
• Theory of time reversal topological superconductivity in double Rashba wires -- symmetries of Cooper pair and Andreev bound states
• Integer and Fractional Quantum Anomalous Hall Effect in a Strip of Stripes Model
• Fractional Topological Insulators: from sliding Luttinger Liquids to Chern-Simons theory
• Majorana Kramers pairs in Rashba double nanowires with interactions and disorder
• Helical nuclear spin order in a strip of stripes in the Quantum Hall regime
• Helical Liquids in Semiconductors
• Exact zero modes in twisted Kitaev chains
• Antiferromagnetic nuclear spin helix and topological superconductivity in ${}^{13}$C nanotubes
• Z4 parafermions in one-dimensional fermionic lattices
• Fermionized parafermions and symmetry-enriched Majorana modes
• Boundary spin polarization as robust signature of topological phase transition in Majorana nanowires
• Topological phases of parafermions: a model with exactly-solvable ground states
• Imprint of topological degeneracy in quasi-one-dimensional fractional quantum Hall states
• Fractional boundary charges in quantum dot arrays with density modulation
• Dominant non-local superconducting proximity effect due to electron-electron interaction in a ballistic double nanowire
• Coupled-wire constructions: a Luttinger liquid approach to topology
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• Anyonic tight-binding models of parafermions and of fractionalized fermions
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• Reflection Positivity for Parafermions
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• Measurement-only topological quantum computation without forced measurements
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• Charge transport of a spin-orbit-coupled Luttinger liquid
• Majorana zero modes and their bosonization
• Parafermions in a multilegged geometry: Towards a scalable parafermionic network
• Bosonization for fermions and parafermions
• Conductance of fractional Luttinger liquids at finite temperatures
• Simulation of braiding anyons using Matrix Product States
• NMR Response of Nuclear Spin Helix in Quantum Wires with Hyperfine and Spin-Orbit Interaction
• Electron pairing induced by repulsive interactions in tunable one-dimensional platforms
• Bounds on nonlocal correlations in the presence of signaling and their application to topological zero modes
• Clock model and parafermions in Rashba nanowires
• Generalized parafermions and non-local Josephson effect in multi-layer systems
• Low-temperature environments for quantum computation and quantum simulation
• Quantum criticality on a chiral ladder: an $SU(2)$ iDMRG study
• Fermion Parity Flips and Majorana Bound States at twist defects in Superconducting Fractional Topological Phases
• Dynamical topological excitations in parafermion chains
• Interaction Driven Floquet Engineering of Topological Superconductivity in Rashba Nanowires
• Parafermion stabilizer codes
• Fractional boundary charges with quantized slopes in interacting one- and two-dimensional systems
• Transport signatures of a Floquet topological transition at the helical edge
• Insulating regime of an underdamped current-biased Josephson junction supporting ${\mathbb{Z}}_3$ and ${\mathbb{Z}}_4$ parafermions
• Quantum dots as parafermion detectors
• Universal conductance dips and fractional excitations in a two-subband quantum wire
• Phase transitions on a ladder of braided non-Abelian anyons
• Low-symmetry nanowire cross-sections for enhanced Dresselhaus spin-orbit interaction
• Edge ${\mathbb{Z}}_3$ parafermions in fermionic lattices
• Interplay between intrinsic and emergent topological protection on interacting helical modes
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• De Finetti Theorems for Braided Parafermions
• Overlap of parafermionic zero modes at a finite distance
• A simple electronic ladder model harboring ${\mathbb{Z}}_4$ parafermions
• Quantum computation with hybrid parafermion-spin qubits
• Studies of braided non-Abelian anyons using anyonic tensor networks