Topological D+p-wave superconductivity in Rashba systems

Abstract

We show two-dimensional "strong" topological superconductivity in d-wave superconductors (SCs). Although the topological invariant of the bulk wave function cannot be defined in d_{x^2-y^2}-wave and d_{xy}-wave SCs because of nodal excitations, the bulk energy spectrum of d-wave SCs on a substrate is fully gapped in a magnetic field. Then the superconducting state is specified by a nontrivial Chern number, and hence topologically nontrivial properties are robust against disorders and interactions. We discuss high-temperature topological superconductivity in cuprate SCs recently fabricated on a substrate. Furthermore, we show that the three-dimensional noncentrosymmetric d-wave SC is a Weyl SC hosting topologically protected Weyl nodes. Noncentrosymmetric heavy-fermion SCs, such as CeRhSi_3 and CeIrSi_3, are candidates for Weyl SCs.

References in corpus (56)

• Topological insulators and superconductors
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Unpaired Majorana fermions in quantum wires
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott 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 insulators and superconductors in three spatial dimensions
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Weyl Semimetal in a Topological Insulator Multilayer
• 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
• Observation of the chiral anomaly induced negative magneto-resistance in 3D Weyl semi-metal TaAs
• Majorana fermions in a tunable semiconductor device
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Heavy fermion superconductivity and magnetic order in non-centrosymmetric $CeP{t}_{3}Si$
• Observation of Weyl nodes in TaAs
• Odd-Parity Topological Superconductors: Theory and Application to Cu${}_x$Bi${}_2$Se${}_3$
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Topological Superconductivity and Superfluidity
• Topological Superconductivity in CuxBi2Se3
• Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
• Symmetry and Topology in Superconductors - Odd-frequency pairing and edge states -
• Topological Superconductivity and Majorana Fermions in RKKY Systems
• Evaluation of Spin-Triplet Superconductivity in Sr2RuO4
• Interplay between classical magnetic moments and superconductivity in quantum one-dimensional conductors: toward a self-sustained topological Majorana phase
• Topology of Andreev Bound States with Flat Dispersion
• Self-Organized Topological State with Majorana Fermions
• Non-Abelian Topological Orders and Majorana Fermions in Spin-Singlet Superconductors
• Topological classification with additional symmetries from Clifford algebras
• Topological odd-parity superconductors
• Weyl superconductors
• Theory of Superconductivity in Strongly Correlated Electron Systems
• Odd-parity topological superconductor with nematic order: Application to CuxBi2Se3
• Topological spin-current in non-centrosymmetric superconductors
• Local Measurements of the Superconducting Pairing Symmetry in CuxBi2Se3
• Topological surface states in nodal superconductors
• Chiral $d$-wave Superconductivity in SrPtAs
• Extremely strong coupling superconductivity in artificial two-dimensional Kondo lattices
• Majorana Kramers Doublets in $d_{x^2-y^2}$-wave Superconductors with Rashba Spin-Orbit Coupling
• Surface density of states and topological edge states in non-centrosymmetric superconductors
• Majorana Fermions in Nodal Superconductors: Gapless Topological Phase
• Breakdown of the topological classification Z for gapped phases of noninteracting fermions by quartic interactions
• Crossed surface flat bands of Weyl semimetal superconductors
• Anomalous Upper Critical Field in CeCoIn_5/YbCoIn_5 Superlattices with a Rashba-type Heavy Fermion Interface
• Flat band in the core of topological defects: bulk-vortex correspondence in topological superfluids with Fermi points
• Topologically protected surface Majorana arcs and bulk Weyl fermions in ferromagnetic superconductors
• Controllable Rashba spin-orbit interaction in artificially engineered superlattices involving the heavy-fermion superconductor CeCoIn5
• Electronically driven superconductor insulator transition in electrostatically doped La${}_2$CuO${}_{4+\delta }$ thin films
• Topological Weyl Superconductor to Diffusive Thermal Hall Metal Crossover in the B-Phase of UPt${}_3$
• Two-dimensional superconductor-insulator quantum phase transitions in an electron-doped cuprate
• Pairing state at an interface of Sr${}_2$RuO${}_4$: parity-mixing, restored time-reversal symmetry, and topological superconductivity
• Evolution of electronic states in n-type copper oxide superconductor via electric double layer gating

Cited by in corpus (17)

• Topological crystalline superconductivity in locally noncentrosymmetric CeRh${}_2$As${}_2$
• Laser-induced topological superconductivity in cuprate thin films
• $Z_4$ Topological Superconductivity in UCoGe
• Majorana flat bands, chiral Majorana edge states, and unidirectional Majorana edge states in noncentrosymmetric superconductors
• Paramagnetically induced gapful topological superconductors
• Platform of chiral Majorana edge modes and its quantum transport phenomena
• Rashba Sandwiches with Topological Superconducting Phases
• Laser-induced topological $s$-wave superconductivity in bilayer transition metal dichalcogenides
• Parity-mixing superconducting phase in the Rashba-Hubbard model and its topological properties from dynamical mean field theory
• Renormalized quasiparticles, topological monopoles and superconducting line nodes in heavy fermion CeTX${}_3$ compounds
• Mixed-parity superconductivity near Lifshitz transitions in strongly spin-orbit-coupled metals
• Exotic heavy fermion superconductivity in atomically thin CeCoIn${}_5$ films
• Spin singlet topological superconductivity in the attractive Rashba Hubbard model
• Non-centrosymmetric superconductors on honeycomb lattice
• Topological phases in twisted Rashba superconductors
• Intrinsic Mechanism for Magneto-Thermal Conductivity Oscillations in Spin-Orbit-Coupled Nodal Superconductors
• Signatures of topological phase transitions in the s-wave superconductor at finite temperature