Tri-Dirac Surface Modes in Topological Superconductors

Abstract

We propose a new type of topological surface modes having cubic dispersion in three-dimensional topological superconductors. Lower order dispersions are prohibited by the threefold rotational symmetry and time-reversal symmetry. Cooper pairing in the bulk changes sign under improper rotations, akin to${}^3$He-B. The surface manifestations are a divergent surface density of states at the Fermi level and isospins that rotate three times as they circle the origin in momentum space. We propose that Heusler alloys with band inversion are candidate materials to harbor the novel topological superconductivity.

Five-page main text plus five-page supplementary materials; three figures

References in corpus (11)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Classification of topological insulators and superconductors in three spatial dimensions
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Topological Surface States Protected From Backscattering by Chiral Spin Texture
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Physics of three dimensional bosonic topological insulators: Surface Deconfined Criticality and Quantized Magnetoelectric Effect
• Odd-Parity Pairing and Topological Superconductivity in a Strongly Spin-Orbit Coupled Semiconductor
• New class of topological superconductors protected by magnetic group symmetries
• Weyl Phases in Point-Group Symmetric Superconductors

Cited by in corpus (16)

• Pairing of j=3/2 fermions in half-Heusler superconductors
• Superconductivity in three-dimensional spin-orbit coupled semimetals
• Topological superconductivity of spin-3/2 carriers in a three-dimensional doped Luttinger semimetal
• Pairing states of spin-3/2 fermions: Symmetry-enforced topological gap functions
• Inflated nodes and surface states in superconducting half-Heusler compounds
• Type-II Dirac semimetals in the YPd${}_2$Sn class
• Topological septet pairing with spin-$\frac{3}{2}$ fermions -- high partial-wave channel counterpart of the ${}^3$He-B phase
• Majorana surface modes of nodal topological pairings in spin-$\frac{3}{2}$ semi-metals
• Disorder-enhanced topological protection and universal quantum criticality in a spin-3/2 topological superconductor
• Interacting spin-3/2 fermions in a Luttinger semimetal: Competing phases and their selection in the global phase diagram
• Topological Superconductivity in Multifold Fermion Metals
• Power-law Temperature Dependence of the Penetration Depth in a Topological Superconductor due to Surface States
• Critical Percolation Without Fine Tuning on the Surface of a Topological Superconductor
• Unconventional Superconductivity arising from Multipolar Kondo Interactions
• Intrinsic finite-energy Cooper pairing in $j=3/2$ superconductors
• Helical Topological Superconducting Pairing at Finite Excitation Energies