Topological d-wave superconductivity in two dimensions

Abstract

Despite intensive searches for topological superconductors, the realization of topological superconductivity remains under debate. Previous proposals for the topological $s$-wave, $p$-wave, and chiral $d$-wave superconductivity have both advantages and disadvantages. In this review, we discuss two-dimensional topological superconductivity based on the non-chiral $d$-wave superconductors. It is shown that the noncentrosymmetric $d$-wave superconductors become topological superconductors under an infinitesimal Zeeman field without fine-tuning of parameters. Floquet engineering for introducing the Zeeman field in a controllable way is also proposed. When the two-dimensional noncentrosymmetric superconductors are stacked to recover the global inversion symmetry, the field-induced parity transition may occur, and the high-field odd-parity superconducting state realizes various topological phases depending on the stacking structures. Two-dimensional heterostructures of strongly correlated electron systems, which have been developed by recent experiments, are proposed as a platform of the high-temperature topological superconductivity and the interplay of topology and strong correlations in superconductors.

arXiv comment31 pages, 17 figures. Submitted to Physica E as an invited review paper

References in corpus (131)

• Topological insulators and superconductors
• Fault-tolerant quantum computation by anyons
• Non-Abelian Anyons and Topological Quantum Computation
• Unpaired Majorana fermions in quantum wires
• Weyl and Dirac Semimetals in Three Dimensional Solids
• 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
• Experimental realisation of the topological Haldane model
• Topological Crystalline Insulators
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Quantized Electric Multipole Insulators
• 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
• Floquet Topological Insulator in Semiconductor Quantum Wells
• Higher-Order Topological Insulators
• Topological superconductors: a review
• Electrical switching of an antiferromagnet
• Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
• Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
• Observation of Floquet-Bloch states on the surface of a topological insulator
• Evidence of Ising pairing in superconducting NbSe${}_2$ atomic layers
• Majorana fermions in a tunable semiconductor device
• Atomic quantum gases in periodically driven optical lattices
• Transport properties of non-equilibrium systems under the application of light: Photo-induced quantum Hall insulators without Landau levels
• Floquet Engineering of Quantum Materials
• Two Dimensional Ising Superconductivity in Gated MoS${}_2$
• Topological phases of fermions in one dimension
• Light-induced anomalous Hall effect in graphene
• Surface States of the Topological Insulator Bi_{1-x}Sb_x
• Superconductivty without inversion symmetry: MnSi versus CePt_3Si
• Chiral superconductivity from repulsive interactions in doped graphene
• Dynamical control of matter-wave tunneling in periodic potentials
• Spontaneously polarized half-gapped superconductivity
• Superconductivity protected by spin-valley locking in ion-gated MoS2
• The effects of interactions on the topological classification of free fermion systems
• Hidden spin polarization in inversion-symmetric bulk crystals
• Topological Phases of One-Dimensional Fermions: An Entanglement Point of View
• Topology of crystalline insulators and superconductors
• Superconductivity and spin-orbit coupling in non-centrosymmetric materials: a review
• Chiral Majorana edge state in a quantum anomalous Hall insulator-superconductor structure
• Floquet-Magnus Theory and Generic Transient Dynamics in Periodically Driven Many-Body Quantum Systems
• Exponentially slow heating in periodically driven many-body systems
• Selective scattering between Floquet-Bloch and Volkov states in a topological insulator
• Field-induced superconducting phase of FeSe in the BCS-BEC cross-over
• Spin-Layer Locking Effects in Optical Orientation of Exciton Spin in Bilayer WSe2
• Direct observation of spin-polarised bulk bands in an inversion-symmetric semiconductor
• Brillouin-Wigner theory for high-frequency expansion in periodically driven systems: Application to Floquet topological insulators
• Classification of topological insulators and superconductors in the presence of reflection symmetry
• Fermionic Symmetry Protected Topological Phases and Cobordisms
• Chiral Superconductors
• Energy gaps in high-transition temperature cuprate superconductors
• Theory of pump-probe photoemission in graphene: Ultrafast tuning of Floquet bands and local pseudospin textures
• Zero-energy vortex bound state in the superconducting topological surface state of Fe(Se,Te)
• Topological classification with additional symmetries from Clifford algebras
• Classification of interacting electronic topological insulators in three dimensions
• Theory of Superconductivity in Strongly Correlated Electron Systems
• Local Measurements of the Superconducting Pairing Symmetry in CuxBi2Se3
• Topological superconductivity in bilayer Rashba system
• Exotic Superconducting Properties in the Electron-Hole Compensated Heavy Fermion `Semimetal' URu2Si2
• Theoretical aspects of Andreev spectroscopy and tunneling spectroscopy in non-centrosymmetric superconductors: a topical review
• Schrieffer-Wolff Transformation for Periodically Driven Systems: Strongly Correlated Systems with Artificial Gauge Fields
• Monolayer FeSe on SrTiO${}_3$
• Strong tuning of Rashba spin orbit interaction in single InAs nanowires
• Stability of Chiral Luttinger Liquids and Abelian Quantum Hall States.
• Chiral $d$-wave Superconductivity in SrPtAs
• Topology of nonsymmorphic crystalline insulators and superconductors
• Field-induced transition from even to odd parity superconductivity in CeRh${}_2$As${}_2$
• Inhomogeneous LOFF phase revisited for surface superconductivity
• Extremely strong coupling superconductivity in artificial two-dimensional Kondo lattices
• Exotic Superconducting States in FeSe-based Materials
• Dynamical Time-Reversal Symmetry Breaking and Photo-Induced Chiral Spin Liquids in Frustrated Mott Insulators
• Insulator-metal transition and topological superconductivity in UTe2 from a first-principles calculation
• Theory of interacting topological crystalline insulators
• Magnetic proximity effect in $\mathbf{YB}{\mathbf{a}}_2\mathbf{C}{\mathbf{u}}_3{\mathbf{O}}_7/L{\mathbf{a}}_{2/3}\mathbf{C}{\mathbf{a}}_{1/3}\mathbf{Mn}{\mathbf{O}}_3$ and $\mathbf{YB}{\mathbf{a}}_2\mathbf{C}{\mathbf{u}}_3{\mathbf{O}}_7/LaMn{\mathbf{O}}_{3+\delta }$ superlattices
• Pair-density wave states through spin-orbit coupling in multilayer superconductors
• Laser-Driven Multiferroics and Ultrafast Spin Current Generation
• Anomalous Upper Critical Field in CeCoIn_5/YbCoIn_5 Superlattices with a Rashba-type Heavy Fermion Interface
• Probing and controlling spin chirality in Mott insulators by circularly polarized laser
• Topologically protected surface Majorana arcs and bulk Weyl fermions in ferromagnetic superconductors
• Optical freezing of charge motion in an organic conductor
• Tuning Rashba Spin-Orbit Coupling in Gated Multilayer InSe
• Controllable Rashba spin-orbit interaction in artificially engineered superlattices involving the heavy-fermion superconductor CeCoIn5
• Nonsymmorphic Weyl superconductivity in UPt_3 based on E_2u representation
• Phase diagram of a surface superconductor in parallel magnetic field
• Direct evidence of hidden local spin polarization in a centrosymmetric superconductor LaO${}_{0.55}$F${}_{0.45}$BiS${}_2$
• Universal Optical Control of Chiral Superconductors and Majorana Modes
• Topological crystalline superconductivity in locally noncentrosymmetric CeRh${}_2$As${}_2$
• Superconductivity in magnetic multipole states
• Non-symmorphic symmetry and field-driven odd-parity pairing in CeRh${}_2$As${}_2$
• Unconventional superconducting gap structure protected by space group symmetry
• Multipole superconductivity in nonsymmorphic Sr${}_2$IrO${}_4$
• Quasilinear quantum magnetoresistance in pressure-induced nonsymmorphic superconductor CrAs
• Classification of topological crystalline superconducting nodes on high-symmetry lines: Point nodes, line nodes, and Bogoliubov Fermi surfaces
• Unusual $H$-$T$ phase diagram of CeRh${}_2$As${}_2$ -- the role of staggered non-centrosymmetricity
• Laser-induced topological superconductivity in cuprate thin films
• From Kondo Lattices to Kondo Superlattices
• Symmetry protected line nodes in non-symmorphic magnetic space groups: Applications to UCoGe and UPd${}_2$Al${}_3$
• Möbius topological superconductivity in UPt${}_3$
• Two scenarios for superconductivity in CeRh${}_2$As${}_2$
• Evidence for chiral d-wave superconductivity in URu2Si2 from the field-angle variation of its specific heat
• Parity-Mixed Superconductivity in Locally Non-centrosymmetric System
• $Z_4$ Topological Superconductivity in UCoGe
• Majorana flat bands, chiral Majorana edge states, and unidirectional Majorana edge states in noncentrosymmetric superconductors
• Odd Parity and Line Nodes in Heavy Fermion Superconductors
• Paramagnetically induced gapful topological superconductors
• Laser-irradiated Kondo insulators : Controlling Kondo effect and topological phases
• Pairing state at an interface of Sr${}_2$RuO${}_4$: parity-mixing, restored time-reversal symmetry, and topological superconductivity
• Superconductivity in disordered locally noncentrosymmetric materials: an application to CeRh${}_2$As${}_2$
• Microscopic Mechanism and Pairing Symmetry of Superconductivity in the Noncentrosymmetric Heavy Fermion Systems CeRhSI${}_3$ and CeIrSi${}_3$
• Spin response and topology of a staggered Rashba superconductor
• Odd-parity multipole fluctuation and unconventional superconductivity in locally noncentrosymmetric crystal
• Fate of Majorana modes in ${\mathrm{CeCoIn}}_5$/${\mathrm{YbCoIn}}_5$ superlattices -a test bed for reduction of topological classification-
• Emergent exotic superconductivity in artificially-engineered tricolor Kondo superlattices
• Pseudo-Landau levels of Bogoliubov quasiparticles in strained nodal superconductors
• Symmetry and topology of two-dimensional noncentrosymmetric superconductors
• Emergence of Floquet Behavior for Lattice Fermions Driven by Light Pulses
• Charge/Spin Supercurrent and the Fulde-Ferrell State Induced by Crystal Deformation in Weyl/Dirac Superconductors
• Orbitally limited pair-density wave phase of multilayer superconductors
• Berezinskii-Kosterlitz-Thouless Transition in Heavy Fermion Superlattices
• Reduction of topological $\mathbb{Z}$ classification in cold atomic systems
• Interference of the Bloch phase in layered materials with stacking shifts
• In Situ STM Observation of Nonmagnetic Impurity Effect in MBE-grown CeCoIn${}_5$ Films
• The interface between heavy fermions and normal electrons investigated by spatially-resolved nuclear magnetic resonance
• Topologically protected Landau level in the vortex lattice of a Weyl superconductor
• Strongly parity-mixed superconductivity in Rashba-Hubbard model
• Laser-induced topological $s$-wave superconductivity in bilayer transition metal dichalcogenides
• High-frequency Expansion for Floquet Prethermal Phases with Emergent Symmetries: Application to Time Crystals and Floquet Engineering
• X-ray absorption spectroscopy study of the electronic and magnetic proximity effects in YBa${}_2$Cu${}_3$O${}_7$/La${}_{2/3}$Ca${}_{1/3}$MnO${}_3$ and La${}_{2-x}$Sr${}_x$CuO${}_4$/La${}_{2/3}$Ca${}_{1/3}$MnO${}_3$ multilayers
• Fermionic boundary modes in two-dimensional noncentrosymmetric superconductors

Cited by in corpus (10)

• Materials challenges for SrRuO3: from conventional to quantum electronics
• Quantum geometry encoded to pair potentials
• Electronic Structure and Kohn-Luttinger Superconductivity of Heavily-Doped Single-Layer Graphene
• Quantum many-body scars with unconventional superconducting pairing symmetries via multibody interactions
• Supercurrent-Induced Weyl Superconductivity
• Superconducting meron phase in locally noncentrosymmetric superconductors
• Majorana bound states in d-wave superconductor planar Josephson junction
• Reciprocal and nonreciprocal paraconductivity in bilayer multiphase superconductors
• Fermions in $(1+2)$-dimensions modified by nonminimal coupling and its applications to condensed matter physics
• Quasiclassical theory of vortex states in locally non-centrosymmetric superconductors: application to CeRh${}_2$As${}_2$