Superconductivity and Local Inversion-Symmetry Breaking

Abstract

Inversion and time reversal are essential symmetries for the structure of Cooper pairs in superconductors. The loss of one or both leads to modifications to this structure and can change the properties of the superconducting phases in profound ways. Lacking inversion, superconductivity in noncentrosymmetric materials has become an important topic, in particular, in the context of topological superconductivity as well as unusual magnetic and magneto-electric properties. Recently, crystal structures with local, but not global inversion-symmetry breaking have attracted attention, as superconductivity can exhibit phenomena not naively expected in centrosymmetric materials. After introducing the concept of locally noncentrosymmetric crystals and different material realizations, we discuss consequences of such local symmetry breaking on the classification, the expected and, in parts, already observed phenomenology of unconventional superconductivity, and possible topological superconducting phases.

arXiv comment21 pages, 5 figures. Submitted to Annual Reviews of Condensed Matter Physics

References in corpus (75)

• Topological Insulators with Inversion Symmetry
• Classification of topological insulators and superconductors in three spatial dimensions
• Classification of topological quantum matter with symmetries
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Electrical switching of an antiferromagnet
• Heavy fermion superconductivity and magnetic order in non-centrosymmetric $CeP{t}_{3}Si$
• Superconductivity in CuxBi2Se3 and its implications for pairing in the undoped topological insulator
• Superconducting 2D system with lifted spin degeneracy: Mixed singlet-triplet state
• 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
• Superconductivty without inversion symmetry: MnSi versus CePt_3Si
• Spontaneously polarized half-gapped superconductivity
• Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
• The effects of interactions on the topological classification of free fermion systems
• Hidden spin polarization in inversion-symmetric bulk crystals
• Topology of crystalline insulators and superconductors
• Relativistic Neel-order fields induced by electrical current in antiferromagnets
• Superconductivity and spin-orbit coupling in non-centrosymmetric materials: a review
• Tuning Ising superconductivity with layer and spin-orbit coupling in two-dimensional transition-metal dichalcogenides
• Topological odd-parity superconductors
• Helical vortex phase in the non-centrosymmetric CePt_3Si
• Review of U-based Ferromagnetic Superconductors: Comparison between UGe2, URhGe, and UCoGe
• Superconductivity and Ferromagnetism in Oxide Interface Structures: Possibility of Finite Momentum Pairing
• Topological superconductivity in bilayer Rashba system
• Spin susceptibility in superconductors without inversion symmetry
• Evidence for Time-Reversal-Symmetry-Broken Superconductivity in Locally Noncentrosymmetric SrPtAs
• Magnetically Switchable Light-Matter Interaction in the Two-Dimensional Magnet CrI3
• Unconventional Superconductivity in UTe2
• Topological surface states in nodal superconductors
• Chiral $d$-wave Superconductivity in SrPtAs
• Topology of nonsymmorphic crystalline insulators and superconductors
• Space group symmetry, spin-orbit coupling and the low energy effective Hamiltonian for iron based superconductors
• Parity-breaking phases of spin-orbit-coupled metals with gyrotropic, ferroelectric and multipolar orders
• 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
• Superconductivity in the Honeycomb-Lattice Pnictide SrPtAs
• Clean 2D superconductivity in a bulk van der Waals superlattice
• Locally Non-centrosymmetric Superconductivity in Multilayer Systems
• Refined symmetry indicators for topological superconductors in all space groups
• Superconductivity and local non-centrosymmetricity in crystal lattices
• Pair-density wave states through spin-orbit coupling in multilayer superconductors
• Topological band and superconductivity in UTe${}_2$
• Magnetic hexadecapole order and magnetopiezoelectric metal in Ba${}_{1-x}$K${}_x$Mn${}_2$As${}_2$
• Nonsymmorphic Weyl superconductivity in UPt_3 based on E_2u representation
• Direct evidence of hidden local spin polarization in a centrosymmetric superconductor LaO${}_{0.55}$F${}_{0.45}$BiS${}_2$
• 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${}_2$
• Atomic limit and inversion-symmetry indicators for topological superconductors
• Topological Crystalline Superconductivity in Locally Non-centrosymmetric Multilayer Superconductors
• Odd Parity and Line Nodes in Non-Symmorphic Superconductors
• Spin-orbit-parity coupled superconductivity in topological monolayer WTe${}_2$
• 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
• Möbius topological superconductivity in UPt${}_3$
• $Z_4$ Topological Superconductivity in UCoGe
• Observation of Magnetopiezoelectric Effect in Antiferromagnetic Metal EuMnBi2
• Selection rules for Cooper pairing in two-dimensional interfaces and sheets
• Gap Symmetry and Stability Analysis in the Multi-Orbital Fe-Based Superconductors
• Spin response and topology of a staggered Rashba superconductor
• Superconducting gap symmetry of the BiS${}_2$-based superconductor LaO${}_{0.5}$F${}_{0.5}$BiSSe elucidated through specific heat measurement
• 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-
• Effect of a staggered spin-orbit coupling on the occurrence of a nematic phase in Sr${}_3$Ru${}_2$O${}_7$
• Model for magnetic flux pattern induced by in-plane magnetic fields on spatially inhomogeneous superconducting interfaces of LaAlO_3-SrTiO_3
• Anisotropic two-gap superconductivity and the absence of a Pauli paramagnetic limit in single-crystalline LaO${}_{0.5}$F${}_{0.5}$BiS${}_2$
• Symmetry and Gap Classification of the non-symmorphic SrPtAs
• Orbitally limited pair-density wave phase of multilayer superconductors
• Superconducting properties of novel BiSe${}_2$-based layered LaO${}_{1-x}$F${}_x$BiSe${}_2$ single crystals
• Local noncentrosymmetric structure of Bi2Sr2CaCu2O8+y by X-ray magnetic circular dichroism at Cu K-edge XANES
• Spin texture in a bilayer high-temperature cuprate superconductor
• Microscopic model for the hidden Rashba effect in YBa${}_2$Cu${}_3$O${}_{6+x}$

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• Correlation-induced Fermi surface evolution and topological crystalline superconductivity in CeRh2As2
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• A mechanism for $\pi$ phase shifts in Little-Parks experiments: application to 4Hb-TaS${}_2$ and to 2H-TaS${}_2$ intercalated with chiral molecules
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• Extreme orbital ab-plane upper critical fields far beyond Pauli limit in 4Hb-Ta(S, Se)2 bulk crystals
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• Picosecond Trajectory of Two-dimensional Vortex Motion in FeSe${}_{0.5}$Te${}_{0.5}$ Visualized by Terahertz Second Harmonic Generation
• Real-space Visualization of Charge Density Wave Induced Local Inversion-Symmetry Breaking in a Skyrmion Magnet
• Magnetization amplification in the interlayer pairing superconductor 4Hb-TaS${}_2$
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• Multiple types of spin textures and robust valley physics in MP${}_2$X${}_6$
• Engineering Helical Superconductors with Multiple Majorana Kramers Pairs via Higher-Order Rashba Spin-Orbit Coupling
• Unconventional superconductivity in monolayer transition metal dichalcogenides
• Measurements of electronic band structure in CeCoGe${}_3$ by angle-resolved photoemission spectroscopy
• Quantum geometric magnetic monopole and two-phase superconductivity in CeRh${}_2$As${}_2$
• La substitution studies on the heavy-fermion superconductor CeRh${}_2$As${}_2$
• Composite Superconducting Orders and Magnetism in CeRh${}_2$As${}_2$
• Quasiclassical theory of vortex states in locally non-centrosymmetric superconductors: application to CeRh${}_2$As${}_2$