Crystalline Symmetry-Protected Majorana Mode in Number-Conserving Dirac Semimetal Nanowires

Abstract

One of the cornerstones for topological quantum computations is the Majorana zero mode, which has been intensively searched in fractional quantum Hall systems and topological superconductors. Several recent works suggest that such an exotic mode can also exist in a one-dimensional (1D) interacting double-wire setup even without long-range superconductivity. A notable instability in these proposals comes from interchannel single-particle tunneling that spoils the topological ground state degeneracy. Here we show that a 1D Dirac semimetal (DSM) nanowire is an ideal number-conserving platform to realize such Majorana physics. By inserting magnetic flux, a DSM nanowire is driven into a 1D crystalline-symmetry-protected semimetallic phase. Interaction enables the emergence of boundary Majorana zero modes, which is robust as a result of crystalline symmetry protection. We also explore several experimental consequences of Majorana signals.

32 pages, 6 figures

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Cited by in corpus (17)

• Gapless topological phases and symmetry-enriched quantum criticality
• Intrinsically Gapless Topological Phases
• Higher-Order Topological Dirac Superconductors
• Topological quantum critical points in the extended Bose-Hubbard model
• Asymptotic Correlations in Gapped and Critical Topological Phases of 1D Quantum Systems
• Topological and symmetry-enriched random quantum critical points
• Topological Superconductivity in an s-wave Superconductor and Its Implication to Iron-based Superconductors
• Competing Vortex Topologies in Iron-based Superconductors
• Platform of chiral Majorana edge modes and its quantum transport phenomena
• Topological Vortex Phase Transitions in Iron-Based Superconductors
• Quantized Fermi-arc-mediated transport in Weyl semimetal nanowires
• Topology of critical chiral phases: multiband insulators and superconductors
• Boundary deconfined quantum criticality at transitions between symmetry-protected topological chains
• Interacting topological mirror excitonic insulator in one dimension
• Quantization of topological indices in critical chains at low temperatures
• Observability of a Sharp Majorana Transition in a Few-Body Model
• Symmetry-protected spin gaps in quantum wires