Majorana Zero Modes in Nanowires with Combined Triangular and Hexagonal Geometry
arXiv:2004.14991 · doi:10.1088/1361-6528/ab932e
Abstract
The effects of geometry on the hosting of Majorana zero modes are explored in core-shell nanowires with a hexagonal core and a triangular shell, and vice versa. The energy interval separating electronic states localized in the corners from states localized on the sides of the shell is shown to be larger for a triangular nanowire with a hexagonal core, than a triangular one. We build the topological phase diagram for both cases and compare them to earlier work on prismatic nanowires with the same core and shell geometry. We suggest that a dual core nanowire is needed to allow for a braiding operation of Majorana zero modes at the nanowire end plane.
arXiv comment8 pages, 10 figures
References in corpus (43)
- Topological insulators and superconductors
- Fault-tolerant quantum computation by anyons
- 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
- Helical liquids and Majorana bound states in quantum wires
- Classification of topological quantum matter with symmetries
- New directions in the pursuit of Majorana fermions in solid state systems
- A Quantum Engineer's Guide to Superconducting Qubits
- Topological superconductors: a review
- Superconducting Qubits: Current State of Play
- Majorana Zero Modes and Topological Quantum Computation
- Double Beta Decay, Majorana Neutrinos, and Neutrino Mass
- Realizing Majorana zero modes in superconductor-semiconductor heterostructures
- Majorana Fermions in Semiconductor Nanowires: Fundamentals, Modeling, and Experiment
- Majorana Fermions in Semiconductor Nanowires
- Experimental Phase Diagram of a One-Dimensional Topological Superconductor
- Topological superconductivity in full shell proximitized nanowires
- Flux-induced topological superconductivity in full-shell nanowires
- Flux-induced Majorana modes in full-shell nanowires
- Next steps of quantum transport in Majorana nanowire devices
- Majorana states in helical Shiba chains and ladders
- Introduction to topological quantum computation with non-Abelian anyons
- Hybridization at superconductor-semiconductor interfaces
- Orbital effect of magnetic field on the Majorana phase diagram
- From the adiabatic theorem of quantum mechanics to topological states of matter
- Majorana Fermions and Multiple Topological Phase Transition in Kitaev Ladder Topological Superconductors
- Proximity-induced low-energy renormalization in hybrid semiconductor-superconductor Majorana structures
- Quasi-Topological Phases of Matter and Topological Protection
- Majorana bound states in open quasi-1D and 2D systems with transverse Rashba coupling
- Majorana Superconducting Qubit
- Spin precession and modulation in ballistic cylindrical nanowires due to the Rashba effect
- Braiding errors in interacting Majorana quantum wires
- Majorana Braiding in Realistic Nanowire Y-Junctions and Tuning Forks
- Electron localization and optical absorption of polygonal quantum rings
- Electronic charge and spin density distribution in a quantum ring with spin-orbit and Coulomb interactions
- Majorana states in prismatic core-shell nanowires
- Robust topological phase in proximitized core-shell nanowires coupled to multiple superconductors
- Enhanced Rashba spin-orbit coupling in core-shell nanowires by the interfacial effect
- Majorana fermions in finite-size strips with in-plane magnetic fields
- Proximity Induced Superconductivity in CdTe-HgTe Core-Shell Nanowires
- Coulomb Blockade from the Shell of an InP-InAs Core-Shell Nanowire with a Triangular Cross Section
- Probing Andreev reflection reach in semiconductor-superconductor hybrids by Aharonov-Bohm effect