Superconducting triangular islands as a platform for manipulating Majorana zero modes
arXiv:2309.11607 · doi:10.1103/PhysRevB.109.205158
Abstract
Current proposals for topological quantum computation (TQC) based on Majorana zero modes (MZM) have mostly been focused on coupled-wire architecture which can be challenging to implement experimentally. To explore alternative building blocks of TQC, in this work we study the possibility of obtaining robust MZM at the corners of triangular superconducting islands, which often appear spontaneously in epitaxial growth. We first show that a minimal three-site triangle model of spinless -wave superconductor allows MZM to appear at different pairs of vertices controlled by a staggered vector potential, which may be realized using coupled quantum dots and can already demonstrate braiding. For systems with less fine-tuned parameters, we suggest an alternative structure of a "hollow" triangle subject to uniform supercurrents or vector potentials, in which MZM generally appear when two of the edges are in a different topological phase from the third. We also discuss the feasibility of constructing the triangles using existing candidate MZM systems and of braiding more MZM in networks of such triangles.
References in corpus (60)
- Fault-tolerant quantum computation by anyons
- Non-Abelian Anyons and Topological Quantum Computation
- 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
- 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
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- A generic new platform for topological quantum computation using semiconductor heterostructures
- Non-abelian statistics of half-quantum vortices in p-wave superconductors
- Non-Abelian statistics and topological quantum information processing in 1D wire networks
- 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
- Evidence for Majorana bound state in an iron-based superconductor
- Majorana fermions in chains of magnetic atoms on a superconductor
- Scalable Designs for Quasiparticle-Poisoning-Protected Topological Quantum Computation with Majorana Zero Modes
- Observation of Majorana fermions with spin selective Andreev reflection in the vortex of topological superconductor
- Majorana mode in vortex core of Bi2Te3/NbSe2 topological insulator-superconductor heterostructure
- Topological Superconductivity and Majorana Fermions in RKKY Systems
- Milestones toward Majorana-based quantum computing
- Majorana fermions emerging from magnetic nanoparticles on a superconductor without spin-orbit coupling
- Evidence of topological superconductivity in planar Josephson junctions
- Interplay between classical magnetic moments and superconductivity in quantum one-dimensional conductors: toward a self-sustained topological Majorana phase
- Flux-controlled quantum computation with Majorana fermions
- Topological Superconductivity in a Phase-Controlled Josephson Junction
- Multichannel Generalization of Kitaev's Majorana End States and a Practical Route to Realize Them in Thin Films
- Realization of a minimal Kitaev chain in coupled quantum dots
- Search for Majorana fermions in multiband semiconducting nanowires
- How to realize a robust practical Majorana chain in a quantum dot-superconductor linear array
- Two-dimensional platform for networks of Majorana bound states
- Parity qubits and poor man's Majorana bound states in double quantum dots
- Engineering a p+ip Superconductor: Comparison of Topological Insulator and Rashba Spin-Orbit Coupled Materials
- Observation of a Majorana zero mode in a topologically protected edge channel
- Topological Superconductivity induced by Ferromagnetic Metal Chains
- A novel platform for two-dimensional chiral topological superconductivity
- Signature of a pair of Majorana zero modes in superconducting gold surface states
- Controlled length-dependent interaction of Majorana modes in Yu-Shiba-Rusinov chains
- Topological and holonomic quantum computation based on second-order topological superconductors
- Topological Superconductivity and Majorana Fermions in Metallic Surface-States
- Manipulating Majorana fermions using supercurrents
- Majorana zero modes on a necklace
- Braiding Majorana corner modes in a second-order topological superconductor
- Wireless Majorana Bound States: From Magnetic Tunability to Braiding
- All-electrically tunable networks of Majorana bound states
- Quasi-one-dimensional Quantum Anomalous Hall Systems as New Platforms for Scalable Topological Quantum Computation
- Magnetotransport and induced superconductivity in Bi based three-dimensional topological insulators
- Signatures of topological phase transitions in mesoscopic superconducting rings
- Phase Control of Majorana Bound States in a Topological X Junction
- Tuning Topological Superconductivity in Phase-Controlled Josephson Junctions with Rashba and Dresselhaus Spin-Orbit Coupling
- Dephasing and leakage dynamics of noisy Majorana-based qubits: Topological versus Andreev
- Majorana fermions in spin-orbit coupled ferromagnetic Josephson junctions
- The Quantum Anomalous Hall Majorana Platform
- Parity-to-charge conversion for readout of topological Majorana qubits
- Ultrathin Films of Superconducting Metals as a Platform for Topological Superconductivity
- Probing Robust Majorana Signatures by Crossed Andreev Reflection with a Quantum Dot
- Majorana Bound States in Double Nanowires with Reduced Zeeman Thresholds due to Supercurrents
- Supercurrent-induced topological phase transitions
- Majorana zero modes in Y-shape interacting Kitaev wires
- Majorana orthogonal transformation and Majorana zero modes in free fermionic systems