Time-reversal-invariant $C_2$-symmetric higher-order topological superconductors

Abstract

We propose a minimal lattice model for two-dimensional class DIII superconductors with $C_2$-protected higher-order topology. While this class of superconductors cannot be topologically characterized by symmetry eigenvalues at high symmetry momenta, we propose a simple Wannier-orbital-based real-space diagnosis to unambiguously capture the corresponding higher-order topology. We further identify and characterize a variety of conventional topological phases in our minimal model, including a weak topological superconductor and a nodal topological superconductor with chiral-symmetry protection. The disorder effect is also systematically studied to demonstrate the robustness of higher-order bulk-boundary correspondence. Our theory lays the groundwork for predicting and diagnosing $C_2$-protected higher-order topology in class DIII superconductors.

arXiv comment8 pages, 5 figures

References in corpus (31)

• Non-Abelian Anyons and Topological Quantum Computation
• Anyons in an exactly solved model and beyond
• Unpaired Majorana fermions in quantum wires
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Quantized Electric Multipole Insulators
• Non-Abelian statistics and topological quantum information processing in 1D wire networks
• Higher-Order Topological Insulators
• Reflection symmetric second-order topological insulators and superconductors
• Evidence for Majorana bound state in an iron-based superconductor
• Topologically-Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State
• Higher-order topological insulators and superconductors protected by inversion symmetry
• Quantized Majorana conductance
• Majorana corner modes in a high-temperature platform
• Symmetry indicators and anomalous surface states of topological crystalline insulators
• Time Reversal Invariant Topological Superconductivity and Majorana Kramers Pairs
• Topological phases and surface flat bands in superconductors without inversion symmetry
• High-Temperature Majorana Corner States
• Majorana Kramers pairs in higher-order topological insulators
• Majorana corner states in a two-dimensional magnetic topological insulator on a high-temperature superconductor
• Higher Order Topology and Nodal Topological Superconductivity in Fe(Se,Te) Heterostructures
• Inversion-protected higher order topological superconductivity in monolayer WTe${}_2$
• Lattice symmetry assisted second order topological superconductors and Majorana patterns
• Topological crystalline superconductivity and second-order topological superconductivity in nodal-loop materials
• Refined symmetry indicators for topological superconductors in all space groups
• Majorana Flat Bands and Uni-directional Majorana Edge States in Gapless Topological Superconductors
• Symmetry-based indicators for topological Bogoliubov-de Gennes Hamiltonians
• Boundary-obstructed topological high-T${}_c$ superconductivity in iron pnictides
• Atomic limit and inversion-symmetry indicators for topological superconductors
• Symmetry indicators for topological superconductors

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• Chiral-Symmetric Higher-Order Topological Phases of Matter
• Majorana corner modes and tunable patterns in an altermagnet heterostructure
• Chiral Dirac Superconductors: Second-order and Boundary-obstructed Topology
• Higher-order topological phases in crystalline and non-crystalline systems: a review
• Faithful derivation of symmetry indicators: A case study for topological superconductors with time-reversal and inversion symmetries
• Boundary Topological Superconductors
• Nodal higher-order topological superconductivity from a ${\mathcal{C}}_4$-symmetric Dirac semimetal
• Sublattice-sensitive Majorana Modes
• Aharonov-Bohm Effect in Three-dimensional Higher-order Topological Insulator
• Topological invariants beyond symmetry indicators: Boundary diagnostics for twofold rotationally symmetric superconductors
• Spontaneous magnetization in unitary superconductors with time reversal symmetry breaking
• Boundary obstructed topological superconductor in buckled honeycomb lattice under perpendicular electric field
• Kitaev Building-block Construction for Inversion-Protected Higher-order Topological Superconductors
• Characterization of higher-order topological superconductors using Bott indices
• Majorana corner states in an attractive quantum spin Hall insulator with opposite in-plane Zeeman energy at two sublattice sites
• Second-order topological insulator in periodically driven lattice
• Hinge Majorana Flat Band in Type-II Dirac Semimetals