Symmetry-Protected Majorana Fermions in Topological Crystalline Superconductors: Theory and Application to Sr2RuO4

Abstract

Crystal point group symmetry is shown to protect Majorana fermions (MFs) in spinfull superconductors (SCs). We elucidate the condition necessary to obtain MFs protected by the point group symmetry. We argue that superconductivity in Sr2RuO4 hosts a topological phase transition to a topological crystalline SC, which accompanies a d-vector rotation under a magnetic field along the c-axis. Taking all three bands and spin-orbit interactions into account, symmetry-protected MFs in the topological crystalline SC are identified. Detection of such MFs provides evidence of the d-vector rotation in Sr2RuO4 expected from Knight shift measurements but not yet verified.

6 pages, 2 figures (proper paper)+ 6 pages, 5 figures (supplemental material); final version accepted for publication in PRL

References in corpus (17)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Classification of topological insulators and superconductors in three spatial dimensions
• Topological Crystalline Insulators
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• The space group classification of topological band insulators
• Electrically detected interferometry of Majorana fermions in a topological insulator
• Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
• Observing Majorana Bound States in p-wave Superconductors Using Noise Measurements in Tunneling Experiments
• Non-Abelian Topological Orders and Majorana Fermions in Spin-Singlet Superconductors
• Topological properties of spin-triplet superconductors and the Fermi surface topology in the normal state
• Symmetry Protected Topological Order and Spin Susceptibility in Superfluid 3He-B
• Topological indices, defects and Majorana fermion in chiral superconductors
• Majorana fermions in one-dimensional spin-orbit coupled Fermi gases
• Quantum impurity spin in Majorana edge fermions
• Properties of edge states in spin-triplet two-band superconductor

Cited by in corpus (114)

• Classification of topological quantum matter with symmetries
• Topological superconductors: a review
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Topology of crystalline insulators and superconductors
• 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
• Topological classification with additional symmetries from Clifford algebras
• Classification of Two Dimensional Topological Crystalline Superconductors and Majorana Bound States at Disclinations
• Topological superconductivity in Dirac semimetals
• Z2-topology in nonsymmorphic crystalline insulators: Mobius twist in surface states
• Topology of nonsymmorphic crystalline insulators and superconductors
• Topological non-symmorphic crystalline insulators
• Transport in two-dimensional topological materials: recent developments in experiment and theory
• Topological Crystalline Materials - General Formulation, Module Structure, and Wallpaper Groups -
• Symmetry Protected Topological Superfluids and Superconductors --- From the Basics to ${}^3$He ---
• Strain Control of Fermiology and Many-Body Interactions in Two-Dimensional Ruthenates
• Large Chern Number and Edge Currents in Sr2RuO4
• Torsion, Parity-odd Response and Anomalies in Topological States
• New class of topological superconductors protected by magnetic group symmetries
• Theory of Majorana zero modes in unconventional superconductors
• Topological zero modes and Dirac points protected by spatial symmetry and chiral symmetry
• A comprehensive review on topological superconducting materials and interfaces
• Superconductivity in doped Dirac semimetals
• UPt${}_3$ as a Topological Crystalline Superconductor
• Patterns of Electro-magnetic Response in Topological Semi-metals
• Exploring Topological Superconductivity in Topological Materials
• Topological Mirror Insulators in One Dimension
• Higher-order topological superconductivity: possible realization in Fermi gases and Sr${}_2$RuO${}_4$
• Classification of topological crystalline insulators based on representation theory
• Topological crystalline superconductivity in locally noncentrosymmetric CeRh${}_2$As${}_2$
• Majorana zero modes in dislocations of Sr${}_2$RuO${}_4$
• Topological Crystalline Superconductivity in Locally Non-centrosymmetric Multilayer Superconductors
• Topological classification under nonmagnetic and magnetic point group symmetry: Application of real-space Atiyah-Hirzebruch spectral sequence to higher-order topology
• Symmetry indicators for topological superconductors
• Time-Reversal Invariant Superconductivity of Sr${}_2$RuO${}_4$ Revealed by Josephson Effects
• Classification of engineered topological superconductors
• Topological Crystalline Materials of $J=3/2$ Electrons: Antiperovskites, Dirac points, and High Winding Topological Superconductivity
• Symmetry Protected Topological Superfluid ${}^3$He-B
• CPT theorem and classification of topological insulators and superconductors
• Möbius topological superconductivity in UPt${}_3$
• $Z_4$ Topological Superconductivity in UCoGe
• Superconducting doped topological materials
• Bulk-Defect Correspondence in Particle-Hole Symmetric Insulators and Semimetals
• Existence of zero-energy impurity states in different classes of topological insulators and superconductors and their relation to topological phase transitions
• Paramagnetically induced gapful topological superconductors
• Observation of topological electronic structure in quasi-1D superconductor TaSe3
• Topological Superconductivity in an s-wave Superconductor and Its Implication to Iron-based Superconductors
• Surface electronic state of superconducting topological crystalline insulator
• Topological Nonsymmorphic Crystalline Superconductors
• Topological Electronic States in HfRuP Family Superconductors
• Microscopic theory of tunneling spectroscopy in Sr${}_2$RuO${}_4$
• Stability of surface states of weak ${\mathbb{Z}}_2$ topological insulators and superconductors
• Transport signatures of superconducting hybrids with mixed singlet and chiral triplet states
• Demonstrating Lattice-Symmetry-Protection in Topological Crystalline Superconductors
• Interaction Enabled Topological Crystalline Phases
• Mirror Majorana zero modes in spinful superconductors/superfluids -Non-Abelian braiding of integer quantum vortices-
• Magnetic order on a topological insulator surface with warping and proximity-induced superconductivity
• Glide-symmetric magnetic topological crystalline insulators with inversion symmetry
• Multifaceted properties of Andreev bound states: Interplay of symmetry and topology
• Non-perturbative constraints from symmetry and chirality on Majorana zero modes and defect quantum numbers in (2+1)D
• Evidence for spin-triplet odd-parity superconductivity close to type-II van Hove singularities
• Tri-Dirac Surface Modes in Topological Superconductors
• Mirror-symmetry-protected dynamical quantum phase transitions in topological crystalline insulators
• Possible Realization of Topological Crystalline Superconductivity with Time-Reversal Symmetry in UTe2
• Topology of the planar phase of superfluid ${}^3$He and bulk-boundary correspondence for three dimensional topological superconductors
• Classification of crystalline topological semimetals with an application to Na${}_3$Bi
• Atomic line defects and topological superconductivity in unconventional superconductors
• Topological Crystalline Superconductivity in Dirac Semimetal Phase of Iron-based Superconductors
• Symmetry protected vortex bound state in superfluid ${}^3$He B-phase
• Quantum thermal Hall effect of Majorana fermions on the surface of superconducting topoloigcal insulators
• Multiplicative topological phases
• Josephson effect in a multi-orbital model for Sr${}_2$RuO${}_4$
• Interference of Majorana fermions in NS junctions
• Odd-frequency pairing and Ising spin susceptibility in time-reversal invariant superfluids and superconductors
• Spin-orbit Coupling and Multiple Phases in Spin-triplet Superconductor Sr${}_2$RuO${}_4$
• Correlation-induced Fermi surface evolution and topological crystalline superconductivity in CeRh2As2
• Glide-symmetric topological crystalline insulator phase in a nonprimitive lattice
• Robust zero-energy bound states around a pair-density-wave vortex core in locally noncentrosymmetric superconductors
• Non-Abelian Half-Quantum Vortices in ${}^3{P}_2$ Topological Superfluids
• Magnetic Response of Majorana Kramers Pairs Protected by Z2 Invariants
• Magnetic response of Majorana Kramers pairs with an order-two symmetry
• Theory of tunneling conductance of anomalous Rashba metal / superconductor junctions
• Generic phase diagram for Weyl superconductivity in mirror-symmetric superconductors
• Topological Superconductivity in a two-dimensional Weyl SSH model
• Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors
• Observation of the topological Dirac fermions and surface states in superconducting BaSn3
• Symmetry-protected topological invariant and Majorana impurity states in time-reversal-invariant superconductors
• Topological skyrmion phases of matter
• Observation of spin-polarized surface states in a nodal line semimetal SnTaS${}_2$
• Electromagnetic Response of Three-dimensional Topological Crystalline Insulators
• Electric Multipoles of Double Majorana Kramers Pairs
• Classification of time-reversal symmetric topological superconducting phases for conventional pairing symmetries
• Defect bulk-boundary correspondence of topological skyrmion phases of matter
• Anisotropic paramagnetic response of topological Majorana surface states in the superconductor ${\text{UTe}}_2$
• Surface-dependent Majorana vortex phases in topological crystalline insulators
• Edge states and local electronic structure around an adsorbed impurity in a topological superconductor
• Type-II topological phase transitions of topological skyrmion phases
• Odd-frequency pairs and anomalous proximity effect in nematic and chiral states of superconducting topological insulators
• Majorana multipole response with magnetic point group symmetry
• Hinge Majorana Flat Band in Type-II Dirac Semimetals
• Fragile topology in nodal-line semimetal superconductors
• Mirror-protected Majorana zero modes in $f$-wave multilayer graphene superconductors
• Boundary states in the chiral symmetric systems with a spatial symmetry
• Majorana edge states and topological properties in 1D/2D Rashba semiconductor proximity coupled to iron-based superconductor
• Phase diagrams of superconducting topological surface states
• Interaction-driven phase transition in one dimensional mirror-symmetry protected topological insulator
• Intrinsic chiral topological superconductor thin films
• Engineering Helical Superconductors with Multiple Majorana Kramers Pairs via Higher-Order Rashba Spin-Orbit Coupling
• Inversion-symmetric Electron Gases as New Platforms for Topological Planar Josephson Junctions
• Dzyaloshinskii-Moriya-type spin-spin interaction from mixed-parity superconductivity
• Theory of Topological Superconductivity in Doped IV-VI Semiconductors
• Excitation spectra and wave functions of quasiparticle bound states in bilayer Rashba superconductors
• Nodal Line Topological Superfluid and Multiply Protected Majorana Fermi Arc in a Three-Dimensional Time-Reversal-Invariant Superfluid Model