All-electrically tunable networks of Majorana bound states

Abstract

Second-order topological superconductors (SOTSs) host localized Majorana fermions and provide a new platform for topological quantum computation. We propose a remarkable and feasible way to realize networks based on SOTSs which allow to nucleate and braid Majorana bound states (MBSs) in an all-electrical manner without fine-tuning. The proposed setups are scalable in a straightforward way and can accommodate any even number of MBSs. Moreover, the MBSs in the networks allow defining qubits whose states can be initialized and read out by measuring Josephson currents flowing between SOTS islands. Our proposal can be implemented in monolayers of $\text{FeTe}{}_{1-x}{\text{Se}}_x$, monolayers of 1T'-WTe${}_2$, and inverted Hg(Cd)Te quantum wells in proximity to conventional superconductors.

arXiv commentclose to the published version; supplemental materials are included

References in corpus (71)

• Fault-tolerant quantum computation by anyons
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Non-Abelian Anyons and Topological Quantum Computation
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• New directions in the pursuit of Majorana fermions in solid state systems
• Quantum Spin Hall Effect and Topological Field Effect Transistor in Two-Dimensional Transition Metal Dichalcogenides
• Quantized Electric Multipole Insulators
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Search for Majorana fermions in superconductors
• Non-Abelian statistics and topological quantum information processing in 1D wire networks
• Higher-Order Topological Insulators
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Majorana Zero Modes and Topological Quantum Computation
• $(d-2)$-dimensional edge states of rotation symmetry protected topological states
• Reflection symmetric second-order topological insulators and superconductors
• Evidence for Helical Edge Modes in Inverted InAs/GaSb Quantum Wells
• Realization of Quantum Spin Hall State in Monolayer 1T'-WTe2
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• Observation of the Quantum Spin Hall Effect up to 100 Kelvin in a Monolayer Crystal
• Phase Diagram and High Temperature Superconductivity at 65 K in Tuning Carrier Concentration of Single-Layer FeSe Films
• Quantum Spin Hall Effect in Inverted Type II Semiconductors
• Edge conduction in monolayer WTe2
• Incommensurate magnetic order in the alpha-Fe(Te,Se) superconductor systems
• Second-order topological insulators and superconductors with an order-two crystalline symmetry
• Electrically Tunable Low Density Superconductivity in a Monolayer Topological Insulator
• Induced Superconductivity in the Quantum Spin Hall Edge
• Gate-induced superconductivity in a monolayer topological insulator
• Topological Superconductivity in a Phase-Controlled Josephson Junction
• Bi-collinear antiferromagnetic order in the tetragonal $\alpha$-FeTe
• Majorana corner modes in a high-temperature platform
• Majorana qubit decoherence by quasiparticle poisoning
• High-Temperature Majorana Corner States
• Universal Quantum Computation with the nu=5/2 Fractional Quantum Hall State
• Non-Abelian operations on Majorana fermions via single charge control
• Majorana Kramers pairs in higher-order topological insulators
• Tunable Majorana corner states in a two-dimensional second-order topological superconductor induced by magnetic fields
• Majorana corner states in a two-dimensional magnetic topological insulator on a high-temperature superconductor
• Second Order Topological Superconductivity in $\pi$-Junction Rashba Layers
• Higher Order Topology and Nodal Topological Superconductivity in Fe(Se,Te) Heterostructures
• Helical Hinge Majoranas in Iron-Based Superconductors
• Topological Characters in Fe(Te${}_{1-x}$Se${}_x$) thin films
• Failure of protection of Majorana based qubits against decoherence
• Higher-order topological odd-parity superconductors
• Proximity-induced superconducting gap in the quantum spin Hall edge state of monolayer WTe${}_2$
• Inversion-protected higher order topological superconductivity in monolayer WTe${}_2$
• Decay rates for topological memories encoded with Majorana fermions
• Second-order Dirac superconductors and magnetic field induced Majorana hinge modes
• Electric field-induced superconducting transition of insulating FeSe thin film at 35 K
• In-plane Zeeman field induced Majorana corner and hinge modes in an $s$-wave superconductor heterostructure
• Lattice symmetry assisted second order topological superconductors and Majorana patterns
• Topological crystalline superconductivity and second-order topological superconductivity in nodal-loop materials
• Topological and holonomic quantum computation based on second-order topological superconductors
• Braiding of Majorana corner states in electric circuits and its non-Hermitian generalization
• FeTe${}_{1-x}$Se${}_x$ monolayer films: towards the realization of high-temperature connate topological superconductivity
• Evidence for interfacial superconductivity in a bi-collinear antiferromagnetically ordered FeTe monolayer on a topological insulator
• Topological quantum states of matter in iron-based superconductors: From concepts to material realization
• Topological Phases in the Single-Layer FeSe
• Higher-Order Topological Superconductivity of Spin-Polarized Fermions
• Phase tunable second-order topological superconductor
• Measurement-only quantum computation with Majorana corner modes
• Floquet Second-Order Topological Superconductor Driven via Ferromagnetic Resonance
• Floquet higher-order topological insulators and superconductors with space-time symmetries
• Three-dimensional superconductors with hybrid higher order topology
• Atomic limit and inversion-symmetry indicators for topological superconductors
• Higher order topological superconductors as generators of quantum codes
• Observation of topological transition in high-T${}_c$ superconductor FeTe${}_{1-x}$Se${}_x$/SrTiO${}_3$(001) monolayers
• `Unhinging' the surfaces of higher-order topological insulators and superconductors
• Detection of second-order topological superconductors by Josephson junctions
• Majorana and parafermion corner states from two coupled sheets of bilayer graphene
• Suppressing quasiparticle poisoning with a voltage-controlled filter

Cited by in corpus (48)

• Topological and holonomic quantum computation based on second-order topological superconductors
• Floquet generation of Second Order Topological Superconductor
• Hierarchy of higher-order topological superconductors in three dimensions
• Majorana bound states in semiconducting nanostructures
• Higher-order topological phases in crystalline and non-crystalline systems: a review
• Higher-order topological superconductors based on weak topological insulators
• Floquet Second Order Topological Superconductor based on Unconventional Pairing
• Higher-order Fabry-Pérot Interferometer from Topological Hinge States
• Tunable Majorana corner modes in noncentrosymmetric superconductors: Tunneling spectroscopy and edge imperfections
• Aspects of topological superconductivity in 2D systems: noncollinear magnetism, skyrmions, and higher-order topology
• Higher-order topological phases emerging from the Su-Schrieffer-Heeger stacking
• Dynamical construction of Quadrupolar and Octupolar topological superconductors
• Quadrupole spin polarization as signature of second-order topological superconductors
• Corner- and sublattice-sensitive Majorana zero modes on the kagome lattice
• Phase-manipulation-induced Majorana Mode and Braiding Realization in Iron-based Superconductor Fe(Te,Se)
• Sublattice-enriched tunability of bound states in second-order topological insulators and superconductors
• Braiding higher-order Majorana corner states through their spin degree of freedom
• Boundary Topological Superconductors
• Surface Bogoliubov-Dirac cones and helical Majorana hinge modes in superconducting Dirac semimetals
• Chiral Majorana Hinge Modes in Superconducting Dirac Materials
• Higher-order Weyl superconductors with anisotropic Weyl-point connectivity
• Intrinsically Interacting Higher-Order Topological Superconductors
• Generalization of Benalcazar-Bernevig-Hughes model to arbitrary dimensions
• Sublattice-sensitive Majorana Modes
• Meissner effect induced Majorana zero modes at small magnetic field
• Intertwined Weyl phases emergent from higher-order topology and unconventional Weyl fermions via crystalline symmetry
• Topological phases of an interacting Majorana Benalcazar-Bernevig-Hughes model
• Time evolution of Majorana corner modes in Floquet second-order topological superconductor
• Majorana-induced DC Shapiro steps in topological Josephson junctions
• Holonomic implementation of CNOT gate on topological Majorana qubits
• Effect of local Coulomb interaction on Majorana corner modes: weak and strong correlation limits
• Fractional second-order topological insulator from a three-dimensional coupled-wires construction
• Majorana Zero Modes in Cylindrical Semiconductor Quantum Wire
• Hierarchical Topological States in Thermal Diffusive Networks
• Tunable Majorana corner modes by orbital-dependent exchange interaction in a two-dimensional topological superconductor
• Characterization of higher-order topological superconductors using Bott indices
• Chiral detection of Majorana bound states at the edge of a quantum spin Hall insulator
• Additive rule of real and reciprocal space topologies at disclinations
• Tunable Majorana corner states driven by superconducting phase bias in a vertical Josephson junction
• Majorana corner states in an attractive quantum spin Hall insulator with opposite in-plane Zeeman energy at two sublattice sites
• Tunable corner states in topological insulators with long-range hoppings and diverse shapes
• Superconducting triangular islands as a platform for manipulating Majorana zero modes
• Altermagnet-Superconductor Heterostructure: a Scalable Platform for Braiding of Majorana Modes
• Perfectly localized Majorana corner modes in fermionic lattices
• Coexistence of gapless and gapped vortex modes with Majorana corner states in a 2D second-order topological superconductor
• Rotating Majorana Zero Modes in a disk geometry
• Symmetry-protected gates of Majorana qubits in a high-$T_c$ superconductor platform
• Floquet first- and higher-order topological superconductors: A review