Topological Phases in Nodeless Tetragonal Superconductors

Abstract

We compute the topological phase diagram of 2D tetragonal superconductors for the only possible nodeless pairing channels compatible with that crystal symmetry. Subject to a Zeeman field and spin-orbit coupling, we demonstrate that these superconductors show surprising topological features: non-trivial high Chern numbers, massive edge states, and zero-energy modes out of high symmetry points, even though the edge states remain topologically protected. Interestingly, one of these pairing symmetries, $d+id$, has been proposed to describe materials such as water-intercalated sodium cobaltates, bilayer silicene or highly doped monolayer graphene, which opens the way for further applications of our results.

arXiv commentMinor corrections, results unchanged

References in corpus (39)

• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Non-Abelian Anyons and Topological Quantum Computation
• 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
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Classification of topological quantum matter with symmetries
• New directions in the pursuit of Majorana fermions in solid state systems
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Topological superconductors: a review
• Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
• Majorana fermions in a tunable semiconductor device
• Exponential Protection of Zero Modes in Majorana Islands
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Topological Origin of Zero-Energy Edge States in Particle-Hole Symmetric Systems
• Chiral superconductivity from repulsive interactions in doped graphene
• Majorana mode in vortex core of Bi2Te3/NbSe2 topological insulator-superconductor heterostructure
• Chiral Majorana edge state in a quantum anomalous Hall insulator-superconductor structure
• The spin quantum Hall effect in unconventional superconductors
• Edge states and the bulk-boundary correspondence in Dirac Hamiltonians
• Majorana corner modes in a high-temperature platform
• Non-Abelian Topological Orders and Majorana Fermions in Spin-Singlet Superconductors
• d+id' Chiral Superconductivity in Bilayer Silicene
• Proximity-induced high-temperature superconductivity in topological insulators Bi2Se3 and Bi2Te3
• Majorana Fermions in Nodal Superconductors: Gapless Topological Phase
• Time-Reversal-Symmetry-Breaking Superconductivity in Epitaxial Bismuth/Nickel Bilayers
• Anisotropic chiral d+id superconductivity in NaxCoO2 yH2O
• Bulk-edge correspondence for Chern topological phases: A viewpoint from a generalized index theorem
• Combining Topological Hardware and Topological Software: Color Code Quantum Computing with Topological Superconductor Networks
• Nodal $d+id$ pairing and topological phases on the triangular lattice: unconventional superconducting state of Na${}_x$CoO${}_2\cdot y$H${}_2$O
• Distinguishing between $s+id$ and $s+is$ pairing symmetries in multiband superconductors through spontaneous magnetization pattern induced by a defect
• On the bulk boundary correspondence and the existence of Majorana bound states on the edges of 2D topological superconductors
• Realizing Majorana Zero Modes by Proximity Effect between Topological Insulators and d-wave High-Temperature Superconductors
• Topological phase transitions in small mesoscopic chiral p-wave superconductors
• Plateaux Transitions in the Pairing Model:Topology and Selection Rule
• Localization and oscillations of Majorana fermions in a two-dimensional electron gas coupled with $d$-wave superconductors
• Domain walls in a chiral d-wave superconductor on the honeycomb lattice
• High critical temperature nodal superconductors as building block for time-reversal invariant topological superconductivity

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