Type-I and type-II topological nodal superconductors with $s$-wave interaction

Abstract

Topological nodal superconductors are generally realized based on unconventional pairings. In this work, we propose a minimal model to realize these topological nodal phases with only $s$-wave interaction. In our model the linear and quadratic spin-orbit couplings along the two directions break the isotropy in momentum space and introduce effective unconventional pairings on the Fermi surface. This model may support different nodal superconducting phases characterized by either winding number in BDI class or Pfaffian in D class at the particle-hole invariant axes. In the vicinity of the nodal points the effective Hamiltonian can be described by either type-I or type-II Dirac equation; and the crossover between these two nodal points can be driven by external Zeeman fields. We show that these nodal phases are robust against weak disorders, thus are possible to be realized in experiments with real materials. The smoking-gun evidences to verify these phases based on scanning tunneling spectroscopy are also briefly discussed.

References in corpus (67)

• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Unpaired Majorana fermions in quantum wires
• 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 insulators and superconductors in three spatial dimensions
• Helical liquids and Majorana bound states in quantum wires
• New directions in the pursuit of Majorana fermions in solid state systems
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• A generic new platform for topological quantum computation using semiconductor heterostructures
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Periodic table for topological insulators and superconductors
• Search for Majorana fermions in superconductors
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Observation of the fractional ac Josephson effect: the signature of Majorana particles
• Time-Reversal Symmetry Breaking Superconductivity in Sr2RuO4
• Exponential Protection of Zero Modes in Majorana Islands
• Spin-orbit coupling in quantum gases
• Odd-Parity Topological Superconductors: Theory and Application to Cu${}_x$Bi${}_2$Se${}_3$
• Realization of Two-Dimensional Spin-orbit Coupling for Bose-Einstein Condensates
• Majorana fermions in chains of magnetic atoms on a superconductor
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Topological Anderson Insulator
• Observation of Majorana fermions with spin selective Andreev reflection in the vortex of topological superconductor
• Majorana mode in vortex core of Bi2Te3/NbSe2 topological insulator-superconductor heterostructure
• Topological Superconductivity and Majorana Fermions in RKKY Systems
• Topological superconducting phase in helical Shiba chains
• Theory of the topological Anderson insulator
• Pressure-Induced Zero-Gap Semiconducting State in Organic Conductor $\alpha$-(BEDT-TTF)${}_2$I${}_3$ Salt
• $p_x+i{p}_y$ superfluid from s-wave interactions of fermionic cold atoms
• Interplay between classical magnetic moments and superconductivity in quantum one-dimensional conductors: toward a self-sustained topological Majorana phase
• Classification of reflection symmetry protected topological semimetals and nodal superconductors
• Multichannel Generalization of Kitaev's Majorana End States and a Practical Route to Realize Them in Thin Films
• Topology of Andreev Bound States with Flat Dispersion
• Competition between weak localization and antilocalization in topological surface states
• Self-Organized Topological State with Majorana Fermions
• Classification of Topological Insulators and Superconductors
• Time Reversal Invariant Topological Superconductivity and Majorana Kramers Pairs
• Search for Majorana fermions in multiband semiconducting nanowires
• Half-metallic semiDirac point generated by quantum confinement in TiO${}_2$/VO${}_2$ nanostructures
• A new magnetic field dependence of Landau levels on a graphene like structure
• Quantum phase transitions across p-wave Feshbach resonance
• Tight-binding modeling and low-energy behavior of the semi-Dirac point
• Engineering a p+ip Superconductor: Comparison of Topological Insulator and Rashba Spin-Orbit Coupled Materials
• Two-dimensional p-wave superconducting states with magnetic moments on a conventional s-wave superconductor
• Topological surface states in nodal superconductors
• Anomalous Andreev bound state in non-centrosymmetric superconductors
• Majorana End-States in Multi-band Microstructures with Rashba Spin-Orbit Coupling
• Surface density of states and topological edge states in non-centrosymmetric superconductors
• Time reversal non-invariant non-Abelian topological order in non-centrosymmetric superconductors
• Topologically stable gapless phases of time-reversal invariant superconductors
• Majorana Flat Bands and Uni-directional Majorana Edge States in Gapless Topological Superconductors
• Superconductivity in Tl_{0.6}Bi_{2}Te_{3} Derived from a Topological Insulator
• Emergent Weyl spinors in multi-fermion systems
• Photoinduced Chern insulating states in semi-Dirac materials
• A semi-Dirac point in the Hofstadter spectrum
• Superconductivity with two-fold symmetry in topological superconductor SrxBi2Se3
• Superconductivity in Type-II Weyl Semimetals
• Bulk electronic state of superconducting topological insulator
• The shape of disorder broadened Landau subbands in graphene
• Majorana Flat Bands in s-Wave Gapless Topological Superconductors
• Majorana fermions in s-wave noncentrosymmetric superconductor with Rashba and Dresselhaus (110) spin-orbit couplings
• Quantum phases of disordered three-dimensional Majorana-Weyl fermions
• Probing Majorana Flat Bands in Nodal $d_{x^2-y^2}$-wave Superconductors with Rashba Spin-Orbit Coupling
• Fermiology of possible topological superconductor Tl0.5Bi2Te3 derived from hole-doped topological insulator

Cited by in corpus (6)

• Strain-engineered Majorana Zero Energy Modes and ϕ0 Josephson State in Black Phosphorus
• Classifying superconductivity in Moiré graphene superlattices
• Rashba Sandwiches with Topological Superconducting Phases
• Platform for nodal topological superconductors in monolayer molybdenum dichalcogenides
• Realization of a transition between type-I and type-II Dirac semimetals in monolayers
• Topological Fermi-arc-like surface states in Kramers nodal line metals