1D Majorana Goldstinos and partial supersymmetry breaking in quantum wires
arXiv:2106.09039 · doi:10.1038/s42005-022-00920-4
Abstract
Realizing Majorana modes in topological superconductors, i.e., the condensed-matter counterpart of Majorana fermions in particle physics, may lead to a major advance in the field of topologically-protected quantum computation. Here, we introduce one-dimensional, counterpropagating, and dispersive Majorana modes as bulk excitations of a periodic chain of partially-overlapping, zero-dimensional Majorana modes in proximitized nanowires via periodically-modulated fields. This system realizes centrally-extended quantum-mechanical supersymmetry with spontaneous partial supersymmetry breaking. The massless Majorana modes are the Nambu-Goldstone fermions (Goldstinos) associated with the spontaneously broken supersymmetry. Their experimental fingerprint is a dip-to-peak transition in the zero-bias conductance, which is generally not expected for Majorana modes overlapping at a finite distance. Moreover, the Majorana modes can slide along the wire by applying a rotating magnetic field, realizing a "Majorana pump". This may suggest new braiding protocols and implementations of topological qubits.
17 pages, 6 figures, including supplementary information and supplementary movie,
References in corpus (37)
- Non-Abelian Anyons and Topological Quantum Computation
- 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 Ferromagnetic Atomic Chains on a Superconductor
- Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
- Majorana bound states in a coupled quantum-dot hybrid-nanowire system
- Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
- Introduction to topological superconductivity and Majorana fermions
- Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
- Scaling of Majorana Zero-Bias Conductance Peaks
- Zero-bias anomaly in a nanowire quantum dot coupled to superconductors
- Spin-selective Peierls transition in interacting one-dimensional conductors with spin-orbit interaction
- Flux-induced topological superconductivity in full-shell nanowires
- Transition from fractional to Majorana fermions in Rashba nanowires
- Zero bias conductance peak in Majorana wires made of semiconductor-superconductor hybrid structures
- Simulating Wess-Zumino Supersymmetry Model in Optical Lattices
- Shadow-wall lithography of ballistic superconductor-semiconductor quantum devices
- Detecting Majoranas in 1D wires by charge sensing
- Zero-energy pinning from interactions in Majorana nanowires
- Supersymmetry and Goldstino-like Mode in Bose-Fermi Mixtures
- Majorana Fermions in Magnetic Chains
- Closing of the Induced Gap in a Hybrid Superconductor-Semiconductor Nanowire
- Majorana modes in emergent-wire phases of helical and cycloidal magnet-superconductor hybrids
- Disentangling Majorana fermions from conventional zero energy states in semiconductor quantum wires
- Ultracold Superstrings in atomic boson-fermion mixtures
- Realization of supersymmetry and its spontaneous breaking in quantum Hall edges
- Majorana/Andreev crossover and the fate of the topological phase transition in inhomogeneous nanowires
- Chain of Majorana States from Superconducting Dirac Fermions at a Magnetic Domain Wall
- Chiral Majorana fermions in graphene from proximity-induced superconductivity
- Majorana edge modes of topological exciton condensate with superconductors
- Enhanced topological protection in planar quasi-one-dimensional channels with periodically-modulated width
- Supersymmetry in Closed Chains of Coupled Majorana Modes
- 1D Majorana Goldstinos and partial supersymmetry breaking in quantum wires
- Relaxation of a Goldstino-like mode due to supersymmetry breaking in Bose-Fermi mixtures
- Dispersive 1D Majorana modes with emergent supersymmetry in 1D proximitized superconductors via spatially-modulated potentials and magnetic fields
- Goldstino spectrum in an ultracold Bose-Fermi mixture with explicitly broken supersymmetry
Cited by in corpus (8)
- Majorana nanowires for topological quantum computation
- 1D Majorana Goldstinos and partial supersymmetry breaking in quantum wires
- Dispersive 1D Majorana modes with emergent supersymmetry in 1D proximitized superconductors via spatially-modulated potentials and magnetic fields
- Majorana modes in striped two-dimensional inhomogeneous topological superconductors
- Probing Goldstino excitation through the tunneling transport in a Bose-Fermi mixture with explicitly broken supersymmetry
- Emergent spacetime supersymmetry in an interacting Kitaev chain with explicit supersymmetry
- Braiding with Majorana lattices: Groundstate degeneracy and supersymmetry
- Zero energy modes with Gaussian, exponential, or polynomial decay: Exact solutions in hermitian and nonhermitian regimes