Topological crystalline superconductivity in locally noncentrosymmetric CeRh${}_2$As${}_2$

Abstract

Recent discovery of superconductivity in CeRh${}_2$As${}_2$ clarified an unusual $H$-$T$ phase diagram with two superconducting phases [Khim et al. arXiv:2101.09522]. The experimental observation has been interpreted based on the even-odd parity transition characteristic of locally noncentrosymmetric superconductors. Indeed, the inversion symmetry is locally broken at the Ce site, and CeRh${}_2$As${}_2$ molds a new class of exotic superconductors. The low-temperature and high-field superconducting phase is a candidate for the odd-parity pair-density-wave state, suggesting a possibility of topological superconductivity as spin-triplet superconductors are. In this paper, we first derive the formula expressing the ${\mathbb{Z}}_2$ invariant of glide symmetric and time-reversal symmetry broken superconductors by the number of Fermi surfaces on a glide invariant line. Next, we conduct a first-principles calculation for the electronic structure of CeRh${}_2$As${}_2$. Combining the results, we show that the field-induced odd-parity superconducting phase of CeRh${}_2$As${}_2$ is a platform of topological crystalline superconductivity protected by the nonsymmorphic glide symmetry and accompanied by boundary Majorana fermions.

arXiv comment15 pages (Main text: 7 pages; Supplemental Materials: 8 pages), 8 figures (Main text: 4 figures; Supplemental Materials: 4 figures)

References in corpus (91)

• Topological insulators and superconductors
• 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
• Classification of topological insulators and superconductors in three spatial dimensions
• Helical liquids and Majorana bound states in quantum wires
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Topological Crystalline Insulators
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• A generic new platform for topological quantum computation using semiconductor heterostructures
• Periodic table for topological insulators and superconductors
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Topological superconductors: a review
• Majorana fermions in a tunable semiconductor device
• Heavy fermion superconductivity and magnetic order in non-centrosymmetric $CeP{t}_{3}Si$
• Odd-Parity Topological Superconductors: Theory and Application to Cu${}_x$Bi${}_2$Se${}_3$
• Evidence for Majorana bound state in an iron-based superconductor
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Observation of topological superconductivity on the surface of an iron-based superconductor
• Observation of Majorana fermions with spin selective Andreev reflection in the vortex of topological superconductor
• Superconductivity protected by spin-valley locking in ion-gated MoS2
• Majorana mode in vortex core of Bi2Te3/NbSe2 topological insulator-superconductor heterostructure
• The Coexistence of Superconductivity and Topological Order in the Bi2Se3 Thin Films
• Chiral Topological Superconductor From the Quantum Hall State
• Symmetry and Topology in Superconductors - Odd-frequency pairing and edge states -
• Topology of crystalline insulators and superconductors
• Quantized Majorana conductance
• Superconductivity and spin-orbit coupling in non-centrosymmetric materials: a review
• Chiral Majorana edge state in a quantum anomalous Hall insulator-superconductor structure
• Majorana Fermions and Topology in Superconductors
• Classification of topological insulators and superconductors in the presence of reflection symmetry
• Classification of reflection symmetry protected topological semimetals and nodal superconductors
• Spin-Rotation Symmetry Breaking in the Superconducting State of CuxBi2Se3
• Topological nature of FeSe${}_{0.5}$Te${}_{0.5}$ superconductor
• Zero-energy vortex bound state in the superconducting topological surface state of Fe(Se,Te)
• Topological Superconductor Bi2Te3/NbSe2 heterostructures
• Topological classification with additional symmetries from Clifford algebras
• Topological odd-parity superconductors
• Topological superconductivity on the surface of Fe-based superconductors
• Thermodynamic evidence for nematic superconductivity in Cu${}_x$Bi${}_2$Se${}_3$
• New classes of topological crystalline insulators with unpinned surface Dirac cones
• Odd-parity topological superconductor with nematic order: Application to CuxBi2Se3
• Topological Mirror Superconductivity
• Two-dimensional topological superconductivity in Pb/Co/Si(111)
• Chiral topological superconductor and half-integer conductance plateau from quantum anomalous Hall plateau transition
• Signature of Dispersing 1D Majorana Channels in an Iron-based Superconductor
• Topological superconductivity in Dirac semimetals
• Z2-topology in nonsymmorphic crystalline insulators: Mobius twist in surface states
• Topology of nonsymmorphic crystalline insulators and superconductors
• High-temperature topological superconductivity in twisted double layer copper oxides
• Field-induced transition from even to odd parity superconductivity in CeRh${}_2$As${}_2$
• Symmetry-Protected Majorana Fermions in Topological Crystalline Superconductors: Theory and Application to Sr2RuO4
• Multiple superconducting phases in a nearly ferromagnetic system
• Conductance and noise signatures of Majorana backscattering
• Time-reversal invariant topological superconductivity in doped Weyl semimetals
• Nonreciprocal current in noncentrosymmetric Rashba superconductors
• Locally Non-centrosymmetric Superconductivity in Multilayer Systems
• Insulator-metal transition and topological superconductivity in UTe2 from a first-principles calculation
• Multiple Superconducting Phases and Unusual Enhancement of the Upper Critical Field in UTe2
• Topological crystalline superconductivity and second-order topological superconductivity in nodal-loop materials
• Refined symmetry indicators for topological superconductors in all space groups
• Pair-density wave states through spin-orbit coupling in multilayer superconductors
• Superconductivity and local non-centrosymmetricity in crystal lattices
• Periodic Anderson model for magnetism and superconductivity in UTe2
• Enhanced spin triplet superconductivity due to Kondo destabilization
• Higher-Order Topological Superconductivity of Spin-Polarized Fermions
• Symmetry-based indicators for topological Bogoliubov-de Gennes Hamiltonians
• Nonsymmorphic Weyl superconductivity in UPt_3 based on E_2u representation
• UPt${}_3$ as a Topological Crystalline Superconductor
• Odd-parity superconductivity in bilayer transition metal dichalcogenides
• ${\mathbb{Z}}_2$-enriched symmetry indicators for topological superconductors in the 1651 magnetic space groups
• Atomic limit and inversion-symmetry indicators for topological superconductors
• Topological Crystalline Superconductivity in Locally Non-centrosymmetric Multilayer Superconductors
• Symmetry indicators for topological superconductors
• Unusual $H$-$T$ phase diagram of CeRh${}_2$As${}_2$ -- the role of staggered non-centrosymmetricity
• From Kondo Lattices to Kondo Superlattices
• Complex-Stripe Phases Induced by Staggered Rashba Spin-Orbit Coupling
• Two scenarios for superconductivity in CeRh${}_2$As${}_2$
• Möbius topological superconductivity in UPt${}_3$
• $Z_4$ Topological Superconductivity in UCoGe
• Parity-Mixed Superconductivity in Locally Non-centrosymmetric System
• Electronic and dynamical properties of CeRh${}_2$As${}_2$: Role of Rh${}_2$As${}_2$ layers and expected hidden orbital order
• Paramagnetically induced gapful topological superconductors
• Spin response and topology of a staggered Rashba superconductor
• Orbitally limited pair-density wave phase of multilayer superconductors
• Topological D+p-wave superconductivity in Rashba systems
• Strongly parity-mixed superconductivity in Rashba-Hubbard model
• Spin-Orbit Coupling in Multilayer Superconductors with Charge Imbalance

Cited by in corpus (41)

• Superconductivity and Local Inversion-Symmetry Breaking
• Non-symmorphic symmetry and field-driven odd-parity pairing in CeRh${}_2$As${}_2$
• Observation of antiferromagnetic order as odd-parity multipoles inside the superconducting phase in CeRh${}_2$As${}_2$
• Field-angle dependence reveals odd-parity superconductivity in CeRh${}_2$As${}_2$
• Electronic and dynamical properties of CeRh${}_2$As${}_2$: Role of Rh${}_2$As${}_2$ layers and expected hidden orbital order
• Even-odd parity transition in strongly correlated locally noncentrosymmetric superconductors : An application to CeRh${}_2$As${}_2$
• Triplet pairing mechanisms from Hund's-Kondo models: applications to UTe${}_2$ and CeRh${}_2$As${}_2$
• Two-dimensional XY-type Magnetic Properties of Locally Noncentrosymmetric Superconductor CeRh${}_2$As${}_2$
• Superconductivity in disordered locally noncentrosymmetric materials: an application to CeRh${}_2$As${}_2$
• Parity transition of spin-singlet superconductivity using sub-lattice degrees of freedom
• Discovery of magnetic phase transitions in heavy-fermion superconductor CeRh${}_2$As${}_2$
• Decoupling multi-phase superconductivity from normal state ordering in CeRh${}_2$As${}_2$
• Low-Temperature Thermal Conductivity of CeRh${}_2$As${}_2$
• Coexistence of near-EF flat band and van Hove singularity in a two-phase superconductor
• Spectroscopic evidence of Kondo-induced quasi-quartet in CeRh${}_2$As${}_2$
• Fermi Surface Nesting with Heavy Quasiparticles in the Locally Noncentrosymmetric Superconductor CeRh${}_2$As${}_2$
• Phase diagram of the square lattice Hubbard model with Rashba-type antisymmetric spin-orbit coupling
• Superconducting Diode Effect in Multiphase Superconductors
• Multiple superconducting phases in heavy-fermion metals
• Correlation-induced Fermi surface evolution and topological crystalline superconductivity in CeRh2As2
• Exploring Fermi Surface Nesting and the Nature of Heavy Quasiparticles in the Spin-Triplet Superconductor Candidate CeRh${}_2$As${}_2$
• Conventional type-II superconductivity in locally non-centrosymmetric LaRh${}_2$As${}_2$ single crystals
• Kramers' degenerate magnetism and superconductivity
• Topological d-wave superconductivity in two dimensions
• Horizontal flux growth as an efficient preparation method of CeRh${}_2$As${}_2$ single crystals
• Proximity-driven ferromagnetism and superconductivity in the triangular Rashba-Hubbard model
• Origin of the non-Fermi-liquid behavior in CeRh2As2
• Effects of nucleation at a first-order transition between two superconducting phases: Application to CeRh${}_2$As${}_2$
• Classification of time-reversal symmetric topological superconducting phases for conventional pairing symmetries
• Appearance of $c$-axis magnetic moment in odd-parity antiferromagnetic state in CeRh${}_2$As${}_2$ revealed by ${}^{75}$As-NMR
• The phase diagram of CeRh${}_2$As${}_2$ for out-of-plane magnetic field
• Field-induced superconductivity mediated by odd-parity multipole fluctuation
• Superconducting meron phase in locally noncentrosymmetric superconductors
• Uniform and Staggered electric axial moment in zigzag chain
• Reciprocal and nonreciprocal paraconductivity in bilayer multiphase superconductors
• Unveiling the superconducting scenario in multiphase superconductor CeRh${}_2$As${}_2$ from space-group symmetry analysis and DFT calculations
• La substitution studies on the heavy-fermion superconductor CeRh${}_2$As${}_2$
• Composite Superconducting Orders and Magnetism in CeRh${}_2$As${}_2$
• Quantum geometric magnetic monopole and two-phase superconductivity in CeRh${}_2$As${}_2$
• Multipolar fluctuations from localized 4f electrons in CeRh2As2
• Quasiclassical theory of vortex states in locally non-centrosymmetric superconductors: application to CeRh${}_2$As${}_2$