Confinement-induced Majorana modes in a nodal topological superconductor
arXiv:2407.06925 · doi:10.1103/sc4p-hzw1
Abstract
We investigate the topological phase diagram of {an extension of the Haldane model with equal spin pairing superconductivity}. In two dimensions, we find a topological nodal superconducting phase, which exhibits a chiral Majorana mode propagating along the edges of nanoribbons with cylindrical boundary conditions. This phase is however unstable in a finite two-dimensional rectangular-shaped lattice, yielding corner states close to zero energy in a flake with alternating zigzag and armchair edges. When we reduce one of the dimensions, quantum confinement gaps out the bulk bands faster than the edge states. In this scenario, hybridization between the edge states can then result in Majorana zero modes. Our results hence suggest quantum confinement as a crucial ingredient in building quasi-one-dimensional topological superconducting phases out of two-dimensional nodal topological superconductors. Furthermore, we characterize the emergence of this novel topological phase by means of its topological invariant, coinciding with a quantized conductance of in a normal-superconducting junction.
17 pages, 12 figures
References in corpus (24)
- 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
- Electrically detected interferometry of Majorana fermions in a topological insulator
- Scaling of Majorana Zero-Bias Conductance Peaks
- Multichannel Generalization of Kitaev's Majorana End States and a Practical Route to Realize Them in Thin Films
- Distinguishing a Majorana zero mode using spin resolved measurements
- Topological surface states in nodal superconductors
- Majorana splitting from critical currents in Josephson junctions
- Nodal Structure of Superconductors with Time-Reversal Invariance and Z2 Topological Number
- Signatures of Majorana Zero Modes in Spin-Resolved Current Correlations
- An exactly solvable BCS-Hubbard Model in arbitrary dimensions
- Realization of a one-dimensional topological insulator in ultrathin germanene nanoribbons
- Emerging topological bound states in Haldane model zigzag nanoribbons
- Finite-size Topology
- Majorana bound states in encapsulated bilayer graphene
- Exact Solution to Haldane-BCS-Hubbard Model Along the Symmetric Lines: Interaction Induced Topological Phase Transition
- Edge states, Majorana fermions and topological order in superconducting wires with generalized boundary conditions
- Squashed entanglement in one-dimensional quantum matter
- Fraunhofer pattern in the presence of Majorana zero modes
- Photonic cross-noise spectroscopy of Majorana bound states