Corner- and sublattice-sensitive Majorana zero modes on the kagome lattice

Abstract

In a first-order topological phase with sublattice degrees of freedom, a change in the boundary sublattice termination has no effect on the existence of gapless boundary states in dimensions higher than one. However, such a change may strongly affect the physical properties of those boundary states. Motivated by this observation, we perform a systematic study of the impact of sublattice terminations on the boundary physics on the two-dimensional kagome lattice. We find that the energies of the Dirac points of helical edge states in two-dimensional first-order topological kagome insulators sensitively depend on the terminating sublattices at the edge. Remarkably, this property admits the realization of a time-reversal invariant second-order topological superconducting phase with highly controllable Majorana Kramers pairs at the corners and sublattice domain walls by putting the topological kagome insulator in proximity to a $d$-wave superconductor. Moreover, substituting the $d$-wave superconductor with a conventional $s$-wave superconductor, we find that highly controllable Majorana zero modes can also be realized at the corners and sublattice domain walls if an in-plane Zeeman field is additionally applied. Our study reveals promising platforms to implement highly controllable Majorana zero modes.

arXiv comment11 pages, 5 figures

References in corpus (92)

• Topological Insulators
• Topological insulators and superconductors
• Quantum Spin Hall Effect in Graphene
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Classification of topological insulators and superconductors in three spatial dimensions
• Helical liquids and Majorana bound states in quantum wires
• Classification of topological quantum matter with symmetries
• Quantized Electric Multipole Insulators
• Higher-Order Topological Insulators
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• High temperature fractional quantum Hall states
• $(d-2)$-dimensional edge states of rotation symmetry protected topological states
• Topolectrical circuit realization of topological corner modes
• Reflection symmetric second-order topological insulators and superconductors
• Observation of a phononic quadrupole topological insulator
• CsV${}_3$Sb${}_5$: a ${\mathbb{Z}}_2$ topological kagome metal with a superconducting ground state
• Massive Dirac fermions in a ferromagnetic kagome metal
• Higher-order topological insulators and semimetals on the breathing Kagome and pyrochlore lattices
• Higher-Order Topology in Bismuth
• Demonstration of a quantized microwave quadrupole insulator with topologically protected corner states
• Introduction to topological superconductivity and Majorana fermions
• Dirac fermions and flat bands in the ideal kagome metal FeSn
• Topological insulator on the kagome lattice
• Discovery of a quantum limit Chern magnet TbMn6Sn6
• Higher-order topological insulators and superconductors protected by inversion symmetry
• Competing electronic orders on Kagome lattices at van Hove filling
• Majorana Fermions in Semiconductor Nanowires: Fundamentals, Modeling, and Experiment
• Topological flat bands in frustrated kagome lattice CoSn
• Second-order topological insulators and superconductors with an order-two crystalline symmetry
• Majorana Fermions and Topology in Superconductors
• Higher-order Topology of Axion Insulator EuIn${}_2$As${}_2$
• Higher-Order Topology, Monopole Nodal Lines, and the Origin of Large Fermi Arcs in Transition Metal Dichalcogenides XTe${}_2$ (X=Mo,W)
• Two-dimensional second-order topological insulator in graphdiyne
• Topological Insulators on the Lieb and Perovskite Lattices
• Majorana corner modes in a high-temperature platform
• Surface State Magnetization and Chiral Edge States on Topological Insulators
• Higher-Order Topological Insulator in Twisted Bilayer Graphene
• High-Temperature Majorana Corner States
• Theoretical prediction of a strongly correlated Dirac metal
• Higher-Order Topological Insulators in Quasicrystals
• Higher Order Topological Phases: A General Principle of Construction
• Weak-Pairing Higher Order Topological Superconductors
• Helical Topological Edge States in a Quadrupole Phase
• Majorana Kramers pairs in higher-order topological insulators
• An anomalous higher-order topological insulator
• 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
• Higher-order topological odd-parity superconductors
• Second-order Topological Superconductors with Mixed Pairing
• Inversion-protected higher order topological superconductivity in monolayer WTe${}_2$
• 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
• Designing Dirac points in two-dimensional lattices
• Topological and holonomic quantum computation based on second-order topological superconductors
• Majorana corner and hinge modes in second-order topological insulator-superconductor heterostructures
• Proximity-induced Majorana hinge modes in antiferromagnetic topological insulators
• Braiding Majorana corner modes in a second-order topological superconductor
• First- and Second-Order Topological Superconductivity and Temperature-Driven Topological Phase Transitions in the Extended Hubbard Model with Spin-Orbit Coupling
• Higher-order topological superconductors in $\mathcal{P}$-, $\mathcal{T}$-odd quadrupolar Dirac materials
• Higher-Order Topological Superconductivity of Spin-Polarized Fermions
• Boundary-obstructed topological high-T${}_c$ superconductivity in iron pnictides
• Phase tunable second-order topological superconductor
• Measurement-only quantum computation with Majorana corner modes
• Floquet generation of Second Order Topological Superconductor
• Chiral Dirac Superconductors: Second-order and Boundary-obstructed Topology
• All-electrically tunable networks of Majorana bound states
• Evidence for Helical Hinge Zero Modes in an Fe-Based Superconductor
• Higher-order topological superconductivity: possible realization in Fermi gases and Sr${}_2$RuO${}_4$
• Three-dimensional superconductors with hybrid higher order topology
• Hierarchy of higher-order topological superconductors in three dimensions
• Higher order topological superconductors as generators of quantum codes
• Simulation of Higher-Order Topological Phases and Related Topological Phase Transitions in a Superconducting Qubit
• Kramers pairs of Majorana corner states in a topological insulator bilayer
• Higher-order topological superconductors based on weak topological insulators
• Vortex-line topology in iron-based superconductors with and without second-order topology
• Topological Superconductivity in an s-wave Superconductor and Its Implication to Iron-based Superconductors
• Majorana corner flat bands in two-dimensional second-order topological superconductors
• Two-particle Berry phase mechanism for Dirac and Majorana Kramers pairs of corner modes
• Tunable Majorana corner modes in noncentrosymmetric superconductors: Tunneling spectroscopy and edge imperfections
• High-$T_c$ Superconductor Fe(Se,Te) Monolayer: an Intrinsic, Scalable and Electrically-tunable Majorana Platform
• 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 topological superconductors from Weyl semimetals
• Higher-order topology and corner triplon excitations in two-dimensional quantum spin-dimer models
• Majorana corner states in an attractive quantum spin Hall insulator with opposite in-plane Zeeman energy at two sublattice sites

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