Supersymmetry in Closed Chains of Coupled Majorana Modes

Abstract

We consider a closed chain of even number of Majorana zero modes with nearest-neighbour couplings which are different site by site generically, thus no any crystal symmetry. Instead, we demonstrate the possibility of an emergent supersymmetry (SUSY), which is accompanied by gapless Fermionic excitations. In particular, the condition can be easily satisfied by tuning only one coupling, regardless of how many other couplings are there. Such a system can be realized by four Majorana modes on two parallel Majorana nanowires with their ends connected by Josephson junctions and bodies connected by an external superconducting ring. By tuning the Josephson couplings with a magnetic flux $\Phi$ through the ring, we get the gapless excitations at ${\Phi }_{SUSY}=\pm f{\Phi }_0$ with ${\Phi }_0=hc/2e$, which is signaled by a zero-bias conductance peak in tunneling conductance. We find this $f$ generally a fractional number and oscillating with increasing Zeeman fields that parallel to the nanowires, which provide a unique experimental signature for the existence of Majorana modes.

arXiv comment7 pages, 4 figures

References in corpus (44)

• 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
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• 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
• Supersymmetry and Quantum Mechanics
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• A generic new platform for topological quantum computation using semiconductor heterostructures
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Observation of the fractional ac Josephson effect: the signature of Majorana particles
• Exponential Protection of Zero Modes in Majorana Islands
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Topological Superconductivity and Superfluidity
• Observation of Majorana fermions with spin selective Andreev reflection in the vortex of topological superconductor
• Chiral Majorana edge state in a quantum anomalous Hall insulator-superconductor structure
• Fermion zero modes on vortices in chiral superconductors
• Interacting anyons in topological quantum liquids: The golden chain
• $4\pi$-periodic Josephson supercurrent in HgTe-based topological Josephson junctions
• A Majorana smoking gun for the superconductor-semiconductor hybrid topological system
• Emergent Space-time Supersymmetry at the Boundary of a Topological Phase
• Zero-Energy Modes from Coalescing Andreev States in a Two-Dimensional Semiconductor-Superconductor Hybrid Platform
• Splitting of Majorana modes due to intervortex tunneling in a p + ip superconductor
• Unconventional Josephson signatures of Majorana bound states
• Emergent Supersymmetry from Strongly Interacting Majorana Zero Modes
• Emergent space-time supersymmetry in 3D Weyl and 2D Dirac semimetals
• Emergence of supersymmetry at a critical point of a lattice model
• Lattice Models with N=2 Supersymmetry
• Tunneling of anyonic Majorana excitations in topological superconductors
• Emergence of supersymmetry on the surface of three dimensional topological insulators
• All Majorana Models with Translation Symmetry are Supersymmetric
• Simulating Wess-Zumino Supersymmetry Model in Optical Lattices
• Emergence of supersymmetric quantum electrodynamics
• Supersymmetry and Goldstino-like Mode in Bose-Fermi Mixtures
• Optical conductivity of topological surface states with emergent supersymmetry
• Splitting and oscillation of Majorana zero modes in the p-wave BCS-BEC evolution with plural vortices
• Edge quantum criticality and emergent supersymmetry in topological phases
• Emergent supersymmetry at the Ising-Berezinskii-Kosterlitz-Thouless multicritical point
• Quench dynamics of fermion-parity switches in a Josephson junction
• Particle Physics and Condensed Matter: The Saga Continues
• Supersymmetry in the Fractional Quantum Hall Regime
• Topological Single Electron Pumping Assisted by Majorana Fermions

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• Majorana modes in striped two-dimensional inhomogeneous topological superconductors
• Superconductor Vortex Spectrum Including Fermi Arc States in Time-Reversal Symmetric Weyl Semimetals
• Braiding with Majorana lattices: Groundstate degeneracy and supersymmetry