Möbius topological superconductivity in UPt${}_3$

Abstract

Intensive studies for more than three decades have elucidated multiple superconducting phases and odd-parity Cooper pairs in a heavy fermion superconductor UPt${}_3$. We identify a time-reversal invariant superconducting phase of UPt${}_3$ as a recently proposed topological nonsymmorphic superconductivity. Combining the band structure of UPt${}_3$, order parameter of $E_{2u}$ representation allowed by $P{6}_3/mmc$ space group symmetry, and topological classification by $K$-theory, we demonstrate the nontrivial $Z_2$-invariant of three-dimensional DIII class enriched by glide symmetry. Correspondingly, double Majorana cone surface states appear at the surface Brillouin zone boundary. Furthermore, we show a variety of surface states and clarify the topological protection by crystal symmetry. Majorana arcs corresponding to tunable Weyl points appear in the time-reversal symmetry broken B-phase. Majorana cone protected by mirror Chern number and Majorana flat band by glide-winding number are also revealed.

21 pages, 13 figures, 6 tables

References in corpus (21)

• 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
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Topology of crystalline insulators and superconductors
• The Order Parameter for the Superconducting Phases of UPt${}_3$
• Observation of broken time-reversal symmetry in the heavy fermion superconductor UPt${}_3$
• New classes of topological crystalline insulators with unpinned surface Dirac cones
• Exotic Superconducting Properties in the Electron-Hole Compensated Heavy Fermion `Semimetal' URu2Si2
• Z2-topology in nonsymmorphic crystalline insulators: Mobius twist in surface states
• Topological Blount's theorem of odd-parity superconductors
• Symmetry Protected Topological Order and Spin Susceptibility in Superfluid 3He-B
• Colossal thermomagnetic response in the exotic superconductor URu2Si2
• Topologically stable gapless phases in nonsymmorphic superconductors
• Exotic multi-gap structure in UPt${}_3$ unveiled by the first-priniciples analysis
• The Fermi surface and f-valence electron count of UPt3
• Anisotropic magnetic responses of topological crystalline superconductors
• Nodal lines and nodal loops in non-symmorphic odd-parity superconductors
• Electron Correlation Effects in Non-Centrosymmetric Metals in the Weak Coupling Regime

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