Engineering Majorana corner modes from two-dimensional hexagonal crystals

Abstract

Second order topological insulator can be engineered from two-dimensional materials with strong spin-orbit coupling and in-plane Zeeman field. In proximity to superconductor, topological superconducting phase could be induced in the two-dimensional materials, which host Majorana corner modes at the intersection between two zigzag edges. Two types of tight binding models in hexagonal lattice, which include $p_z$ or $p_{x,y}$ orbit(s) in each lattice site, are applied to engineer two-dimensional materials in topological superconducting phase. In both models, the condition that induces the second order topological superconductor requires nonuniform value of either in-plane Zeeman fields or superconductor pairing parameters in two sublattices. The finite size effect of the second model is weaker than that of the first model.

arXiv comment5 figures

References in corpus (75)

• The electronic properties of graphene
• Quantum Spin Hall Effect in Graphene
• Non-Abelian Anyons and Topological Quantum Computation
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Quantized Electric Multipole Insulators
• A generic new platform for topological quantum computation using semiconductor heterostructures
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets
• Bismuthene on a SiC Substrate: A Candidate for a New High-Temperature Quantum Spin Hall Paradigm
• Spin-orbit gap of graphene: First-principles calculations
• Reflection symmetric second-order topological insulators and superconductors
• Majorana Fermion Induced Resonant Andreev Reflection
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• Quantization of fractional corner charge in $C_n$-symmetric higher-order topological crystalline insulators
• Majorana Fermions in Equilibrium and Driven Cold Atom Quantum Wires
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Quantum Anomalous Hall Effect in Graphene from Rashba and Exchange Effects
• Topologically-Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State
• Electrically detected interferometry of Majorana fermions in a topological insulator
• Chiral Topological Superconductor From the Quantum Hall State
• Topology by Dissipation in Atomic Quantum Wires
• $2n$ Quasihole States Realize $2^{n-1}$-Dimensional Spinor Braiding Statistics in Paired Quantum Hall States
• Quantum Anomalous Hall Effect in Graphene Proximity Coupled to an Antiferromagnetic Insulator
• Second-order topological insulators and superconductors with an order-two crystalline symmetry
• $p_x+i{p}_y$ superfluid from s-wave interactions of fermionic cold atoms
• Majorana corner modes in a high-temperature platform
• Quantum Computation Using Vortices and Majorana Zero Modes of a $p_x$ + $i{p}_y$ Superfluid of Fermionic Cold Atoms
• Graphene with Structure-Induced Spin-Orbit Coupling: Spin-Polarized States, Spin Zero Modes, and Quantum Hall Effect
• High-Temperature Majorana Corner States
• Realization of 2D Spin-orbit Interaction and Exotic Topological Orders in Cold Atoms
• Giant topological insulator gap in graphene with 5d adatoms
• Weak-Pairing Higher Order Topological Superconductors
• Majorana Kramers pairs in higher-order topological insulators
• Higher-order topological insulators protected by inversion and rotoinversion symmetries
• Two-Dimensional Topological Insulator State and Topological Phase Transition in Bilayer Graphene
• Majorana Zero Modes in 1D Quantum Wires Without Long-Ranged Superconducting Order
• Engineering Corner States from Two-Dimensional 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
• Fractional disclination charge in two-dimensional $C_n-$symmetric topological crystalline insulators
• Higher Order Topology and Nodal Topological Superconductivity in Fe(Se,Te) Heterostructures
• Helical Hinge Majoranas in Iron-Based Superconductors
• Higher-order topological odd-parity superconductors
• Conductance and noise signatures of Majorana backscattering
• Quantum Anomalous Hall Effects in Graphene from Proximity-Induced Uniform and Staggered Spin-Orbit and Exchange Coupling
• Inversion-protected higher order topological superconductivity in monolayer WTe${}_2$
• Fractional corner charges in spin-orbit coupled crystals
• Second-order Dirac superconductors and magnetic field induced Majorana hinge modes
• 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
• Majorana corner and hinge modes in second-order topological insulator-superconductor heterostructures
• Higher-Order Topological Superconductivity of Spin-Polarized Fermions
• Measurement-only quantum computation with Majorana corner modes
• Phase tunable second-order topological superconductor
• Giant Spin-valley Polarization and Multiple Hall Effect in Functionalized Bi Monolayers
• Floquet Second-Order Topological Superconductor Driven via Ferromagnetic Resonance
• Higher-order topological superconductivity: possible realization in Fermi gases and Sr${}_2$RuO${}_4$
• Quantum Spin-Valley Hall Kink States: From Concept to Materials Design
• Three-dimensional superconductors with hybrid higher order topology
• Atomic limit and inversion-symmetry indicators for topological superconductors
• Quantum Spin-quantum Anomalous Hall Effect with Tunable Edge States in Sb Monolayer-based Heterostructures
• Vortex end Majorana zero modes in superconducting Dirac and Weyl semimetals
• Detection of second-order topological superconductors by Josephson junctions
• Majorana and parafermion corner states from two coupled sheets of bilayer graphene
• Optically Probing Tunable Band Topology in Atomic Monolayers
• Engineering Proximity Exchange by Twisting: Reversal of Ferromagnetic and Emergence of Antiferromagnetic Dirac Bands in Graphene/Cr${}_2$Ge${}_2$Te${}_6$
• Proximity effects in graphene on monolayers of transition-metal phosphorus trichalcogenides MPX${}_3$
• Artificial Graphene: Unconventional Superconductivity in a Honeycomb Superlattice
• Intrinsic first and higher-order topological superconductivity in a doped topological insulator
• Proximity-induced topological phases in bilayer graphene
• Valley selecting current partition at zero-line mode of quantum anomalous Hall topologies

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