Double-twisted surface spectrum from hybridized Majorana Kramers pairs and wallpaper fermions

Abstract

We theoretically investigate the superconducting surface states of wallpaper fermions, which are surface quasiparticles of topological nonsymmorphic crystalline insulators protected by a wallpaper group $p4g$ symmetry, based on a tight-binding model for the space group $P4/mbm$ (No. 127). A symmetry-based analysis shows that four types of on-site pair potentials are allowed. Using the symmetries of the wallpaper group $p4g$ and the one-dimensional topological invariants, we clarify that for the ${\mathrm{A}}_{1u}$ representation, wallpaper fermions and two Majorana Kramers pairs coexist, and hybridization between them give rise to a double-twisted surface state and produces four peaks in the surface density of states. We further find that the mirror Chern number vanishes, indicating that our system realizes mirror-helicity-free surface states. This distinguishes superconducting wallpaper fermions from the other superconducting topological (crystalline) insulators, such as ${\mathrm{Cu}}_x{\mathrm{Bi}}_2{\mathrm{Se}}_3$ and ${\mathrm{Sn}}_{1-x}{\mathrm{In}}_x\mathrm{Te}$.

arXiv comment10 pages, 7 figures

References in corpus (38)

• Topological insulators and superconductors
• Non-Abelian Anyons and Topological Quantum Computation
• Anyons in an exactly solved model and beyond
• Classification of topological quantum matter with symmetries
• New directions in the pursuit of Majorana fermions in solid state systems
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Search for Majorana fermions in superconductors
• Topological superconductors: a review
• Surface States of the Topological Insulator Bi_{1-x}Sb_x
• High-throughput calculations of magnetic topological materials
• Majorana Fermions and Topology in Superconductors
• Topology of Andreev Bound States with Flat Dispersion
• Magnetic Topological Quantum Chemistry
• Observation of superconductivity in 3D Dirac semimetal Cd3As2 crystal
• Odd-Parity Pairing and Topological Superconductivity in a Strongly Spin-Orbit Coupled Semiconductor
• Unconventional Superconductivity at Mesoscopic Point-contacts on the 3-Dimensional Dirac Semi-metal Cd${}_3$As${}_2$
• Topological superconductivity in Dirac semimetals
• Majorana Fermions and Exotic Surface Andreev Bound States in Topological Superconductors: Application to CuxBi2Se3
• Wallpaper Fermions and the Nonsymmorphic Dirac Insulator
• Symmetry Protected Topological Superfluids and Superconductors --- From the Basics to ${}^3$He ---
• Unusual nature of fully-gapped superconductivity in In-doped SnTe
• Tunneling Conductance and Surface States Transition in Superconducting Topological Insulators
• Nematic superconductivity in doped Bi2Se3 topological superconductors
• Crossed surface flat bands of Weyl semimetal superconductors
• Surface spectral function in the superconducting state of a topological insulator
• Tip induced unconventional superconductivity on Weyl semimetal TaAs
• Topological Crystalline Materials of $J=3/2$ Electrons: Antiperovskites, Dirac points, and High Winding Topological Superconductivity
• Surface electronic state of superconducting topological crystalline insulator
• Anisotropic magnetic responses of topological crystalline superconductors
• Quantum thermal Hall effect of Majorana fermions on the surface of superconducting topoloigcal insulators
• Magnetic response of Majorana Kramers pairs with an order-two symmetry
• Glide Symmetry Protected Higher-Order Topological Insulators from Semimetals with butterfly-like Nodal Lines
• Magnetic wallpaper Dirac fermions and topological magnetic Dirac insulators
• Hall effect of ferro/antiferromagnetic wallpaper fermions
• Theory of tunneling spectroscopy in a superconducting topological insulator
• Magnon-mediated superconductivity on ferromagnetic wallpaper fermions
• Symmetry-adapted models for multifold fermions with spin-orbit coupling
• Superconducting Gap Structures in Wallpaper Fermion Systems