Topological properties of spin-triplet superconductors and the Fermi surface topology in the normal state

Abstract

We report intimate relations between topological properties of full gapped spin-triplet superconductors with time-reversal invariance and the Fermi surface topology in the normal states. An efficient method to calculate the Z2 invariants and the winding number for the spin-triplet superconductors is developed, and connections between these topological invariants and the Fermi surface structures in the normal states are pointed out. We also obtain a correspondence between the Fermi surface topology and gapless surface states in the superconducting states. The correspondence is inherent to spin-triplet superconductivity.

14 pages, 2 figures, 1 table, a table was added

References in corpus (9)

• Topological Insulators with Inversion Symmetry
• Classification of topological insulators and superconductors in three spatial dimensions
• Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
• Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
• Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
• A General Theorem Relating the Bulk Topological Number to Edge States in Two-dimensional Insulators
• Topological spin-current in non-centrosymmetric superconductors
• Topological aspects of quantum spin Hall effect in graphene: Z${}_2$ topological order and spin Chern number
• Nodal Structure of Superconductors with Time-Reversal Invariance and Z2 Topological Number

Cited by in corpus (61)

• Topology of crystalline insulators and superconductors
• Non-Abelian Topological Orders and Majorana Fermions in Spin-Singlet Superconductors
• Topological surface states in nodal superconductors
• Z2-topology in nonsymmorphic crystalline insulators: Mobius twist in surface states
• Anomalous Andreev bound state in non-centrosymmetric superconductors
• Surface density of states and topological edge states in non-centrosymmetric superconductors
• Half-Heusler topological insulators
• Symmetry Protected Topological Order and Spin Susceptibility in Superfluid 3He-B
• Surface spectral function in the superconducting state of a topological insulator
• Topological indices, defects and Majorana fermion in chiral superconductors
• Global phase diagram, possible chiral spin liquid and topological superconductivity in the triangular Kitaev-Heisenberg model
• Non-Hermitian band topology with generalized inversion symmetry
• Nielsen-Ninomiya Theorem with Bulk Topology: Duality in Floquet and Non-Hermitian Systems
• Flat Majorana bands in 2-d lattices with inhomogeneous magnetic fields: topology and stability
• Andreev spectroscopy and surface density of states for a three-dimensional time-reversal invariant topological superconductor
• Symmetry Protected Topological Superfluid ${}^3$He-B
• Helical Liquids in Semiconductors
• Superconducting doped topological materials
• Superfluid 3He in a restricted geometry with a perpendicular magnetic field
• Unconventional pairing and electronic dimerization instabilities in the doped Kitaev-Heisenberg model
• On the bulk boundary correspondence and the existence of Majorana bound states on the edges of 2D topological superconductors
• Spin-triplet superconductivity from quantum-geometry-induced ferromagnetic fluctuation
• Single full gap with mixed type-I and type-II superconductivity on surface of the type-II Dirac semimetal PdTe2 by point-contact spectroscopy
• Superconductivity induced by fluctuations of momentum-based multipoles
• Zeeman field induced topological phase transitions in triplet superconductors
• Anomalous Josephson current in superconducting topological insulator
• Theory of tunneling spectroscopy for chiral topological superconductors
• Topological superconductivity in the extended Kitaev-Heisenberg model
• Novel anisotropic spin singlet pairings in Cu${}_x$Bi${}_2$Se${}_3$ and Bi${}_2$Te${}_3$
• Topological superconductivity and large spin Hall effect in the kagome family Ti6X4 (X = Bi, Sb, Pb, Tl, In)
• Majorana multipole response: General theory and application to wallpaper groups
• Magnetic response of Majorana Kramers pairs with an order-two symmetry
• Topological superconductivity mediated by magnons of helical magnetic states
• Fermiology of possible topological superconductor Tl0.5Bi2Te3 derived from hole-doped topological insulator
• Multiple odd-parity superconducting phases in bilayer transition metal dichalcogenides
• Effective low energy theory for surface Andreev bound states of superconducting phases in generalized Bernevig-Hughes-Zhang models
• Unconventional Majorana fermions on the surface of topological superconductors protected by rotational symmetry
• High orbital-moment Cooper pairs by crystalline symmetry breaking
• Topological superconductivity on the honeycomb lattice: Effect of normal state topology
• Anisotropic field-induced changes in the superconducting order parameter of UTe2
• Unconventional topological transitions in a self-organized magnetic ladder
• Classification of time-reversal symmetric topological superconducting phases for conventional pairing symmetries
• Field-driven spatiotemporal manipulation of Majorana zero modes in a Kitaev spin liquid
• Analytical and semianalytical tools to determine the topological character of Shiba chains
• Induced topological order at the boundary of 3D topological superconductors
• Strain-induced superconductivity in Sr2IrO4
• Andreev spectroscopy of Majorana states in topological superconductors with multipocket Fermi surfaces
• Topology of superconductors beyond mean-field theory
• Analytic Expression for the Entanglement Entropy of a 2D Topological Superconductor
• Signature of edge states in resonant wave scattering
• Quantized Thermal Hall Conductance and the Topological Phase Diagram of a Superconducting Bismuth Bilayer
• Helical Topological Superconducting Pairing at Finite Excitation Energies
• Euler--Chern Correspondence via Topological Superconductivity
• Two-dimensional flat band on the (011) surface of UTe${}_2$: Implication for STM measurements with a superconducting tip
• Higher-order topological phases for time-reversal-symmetry breaking superconductivity in UTe${}_2$
• Instability of Majorana states in Shiba chains due to leakage into a topological substrate
• Real-time control of non-Abelian anyons in Kitaev spin liquid under energy dissipation
• Spin nematic order and superconductivity in $J_1$-$J_2$ Kondo lattice model on square lattice
• Fermi-surface diagnosis for topological superconductivity with $s$-wave-like pairing symmetries
• Josephson effects in the spin-triplet superconductor/altermagnet/spin-triplet superconductor junctions: the detection of the intrinsic $\mathbf{d}$-vector
• Multigap nodeless superconductivity in Dirac semimetal PdTe