Time-Reversal Invariant Parafermions in Interacting Rashba Nanowires

Abstract

We propose a scheme to generate pairs of time-reversal invariant parafermions. Our setup consists of two quantum wires with opposite Rashba spin orbit interactions coupled to an $s$-wave superconductor, in the presence of electron-electron interactions. The zero-energy bound states localized at the wire ends arise from the interplay between two types of proximity induced superconductivity: the usual intrawire superconductivity and the interwire superconductivity due to crossed Andreev reflections. If the latter dominates, which is the case for strong electron-electron interactions, the system supports Kramers pair of parafermions. Moreover, the scheme can be extended to a two-dimensional sea of time-reversal invariant parafermions.

References in corpus (18)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
• Exotic non-Abelian anyons from conventional fractional quantum Hall states
• Majorana edge states in interacting one-dimensional systems
• Fractionalizing Majorana fermions: non-abelian statistics on the edges of abelian quantum Hall states
• Spin-selective Peierls transition in interacting one-dimensional conductors with spin-orbit interaction
• Fractional topological superconductors with fractionalized Majorana fermions
• Transition from fractional to Majorana fermions in Rashba nanowires
• Majorana End-States in Multi-band Microstructures with Rashba Spin-Orbit Coupling
• Majorana bound states and non-local spin correlations in a quantum wire on an unconventional superconductor
• Parafermions in Interacting Nanowire Bundle
• Giant spin orbit interaction due to rotating magnetic fields in graphene nanoribbons
• Helical States in Curved Bilayer Graphene
• Fractional Fermions with Non-Abelian Statistics

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• Conductance behavior in nanowires with spin-orbit interaction -- A numerical study
• Theory of time reversal topological superconductivity in double Rashba wires -- symmetries of Cooper pair and Andreev bound states
• Phase Control of Majorana Bound States in a Topological X Junction
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• Reflection Positivity for Parafermions
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• Fractional charge oscillations in quantum spin Hall quantum dots
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• Unitary Symmetry-Protected Non-Abelian Statistics of Majorana Modes
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• Spontaneous Josephson $\pi$ Junctions with Topological Superconductors
• Generalized parafermions and non-local Josephson effect in multi-layer systems
• Low-temperature environments for quantum computation and quantum simulation
• Transport signatures of topological phases in double nanowires probed by spin-polarized STM
• Clock model and parafermions in Rashba nanowires
• Fractional boundary charges with quantized slopes in interacting one- and two-dimensional systems
• Symmetry-breaking signatures of multiple Majorana zero modes in one-dimensional spin-triplet superconductors
• Counting Majorana bound states using complex momenta
• Unconventional topological transitions in a self-organized magnetic ladder
• Insulating regime of an underdamped current-biased Josephson junction supporting ${\mathbb{Z}}_3$ and ${\mathbb{Z}}_4$ parafermions
• Interfacial-state coupling induced topological phase transitions in SnTe (110) thin film
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• Universal conductance dips and fractional excitations in a two-subband quantum wire
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