Parity-breaking phases of spin-orbit-coupled metals with gyrotropic, ferroelectric and multipolar orders

Abstract

We study Fermi liquid instabilities in spin-orbit-coupled metals with inversion symmetry. By introducing a canonical basis for the doubly degenerate Bloch bands in momentum space, we derive the general form of interaction functions. A variety of time-reversal-invariant, parity-breaking phases is found, whose Fermi surface is spontaneously deformed and spin-split. In terms of symmetry, these phases possess gyrotropic, ferroelectric and multipolar orders. The ferroelectric and multipolar phases are accompanied by structural distortions, from which the electronic orders can be identified. The gyrotropic phase exhibits a unique nonlinear optical property. Based on recent experiments, we identify several interesting quantum materials including pyrochlore oxides, which show evidence of these parity breaking orders.

5 pages

References in corpus (11)

• Topological Insulators with Inversion Symmetry
• Fermi liquid instabilities in the spin channel
• Dynamic generation of spin orbit coupling
• Metallic "Ferroelectricity" in the Pyrochlore Cd2Re2O7
• Kerr effect as evidence of gyrotropic order in the cuprates
• Spontaneous Parity Breaking in Spin-Orbital Coupled Systems
• Berry phase mechanism for optical gyrotropy in stripe-ordered cuprates
• Kerr effect as evidence of gyrotropic order in the cuprates - revisited
• Ferromagnetic and Nematic Non-Fermi Liquids in Spin-Orbit Coupled Two-Dimensional Fermi Gases
• Artificial electric field in Fermi Liquids
• Effect of Electron-Electron Interactions on Rashba-like and Spin-Split Systems

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• Superconductivity and Local Inversion-Symmetry Breaking
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• Non-symmorphic symmetry and field-driven odd-parity pairing in CeRh${}_2$As${}_2$
• Spin-orbit-parity coupled superconductivity in topological monolayer WTe${}_2$
• Skyrmion crystal and spiral phases in centrosymmetric bilayer magnets with staggered Dzyaloshinskii-Moriya interaction
• Ferro-octupolar order and low-energy excitations in d${}^2$ double perovskites of Osmium
• Anapole superconductivity from $\mathcal{P}\mathcal{T}$-symmetric mixed-parity interband pairing
• Manipulation and braiding of Weyl nodes using symmetry-constrained phase transitions
• The nature of the tensor order in Cd2Re2O7
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• Mechanism of antisymmetric spin polarization in centrosymmetric multiple-$Q$ magnets based on bilinear and biquadratic spin cross products
• Multifarious skyrmion phases on a trilayer triangular lattice
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• Electric octupole order in bilayer Rashba system
• Evidence of an improper displacive phase transition in Cd${}_2$Re${}_2$O${}_7$ via time-resolved coherent phonon spectroscopy
• Successive spatial symmetry breaking under high pressure in the spin-orbit-coupled metal Cd2Re2O7
• Theory of superconductivity mediated by Rashba coupling in incipient ferroelectrics
• NQR and NMR spectra in odd-parity multipole material CeCoSi
• Probing octupolar hidden order via Janus impurities
• Octupolar order and Ising quantum criticality tuned by strain and dimensionality: Application to $d$-orbital Mott insulators
• Spin-orbital-momentum locking under odd-parity magnetic quadrupole ordering
• Optical Selection Rules in Spin-Orbit Coupled Systems on Honeycomb Lattice
• Square skyrmion crystal in centrosymmetric systems with locally inversion-asymmetric layers
• Generalized Rashba Electron-Phonon Coupling and Superconductivity in Strontium Titanate
• Hidden orders in spin-orbit entangled correlated insulators
• Superconductivity of anomalous pseudospin
• Nematic superconductivity in Cu${}_x$Bi${}_2$Se${}_3$: The surface Andreev bound states
• Quantum geometry encoded to pair potentials
• Eight-color chiral spin liquid in the $S=1$ bilinear-biquadratic model with Kitaev interactions
• A theory of criticality for quantum ferroelectric metals
• Synergetic ferroelectricity and superconductivity in zero-density Dirac semimetals near quantum criticality
• Revealing hidden magneto-electric multipoles using Compton scattering
• Signatures of hidden octupolar order from nonlinear Hall effects
• Understanding chiral charge-density wave by frozen chiral phonon
• Crystal structure of the inversion-breaking metal Cd2Re2O7
• A generalized Stoner criterion and versatile spin ordering in two-dimensional spin-orbit coupled electron systems
• Diffuse Scattering from Correlated Electron Systems
• Phonon-induced rotation of the electronic nematic director in superconducting Bi${}_2$Se${}_3$
• Spin-Phonon Resonances in Nearly Polar Metals with Spin-Orbit Coupling
• Collective spin modes in Fermi liquids with spin-orbit coupling
• Successive phase transitions of the spin-orbit-coupled metal Cd2Re2O7 probed by high-resolution synchrotron x-ray diffraction
• Electron correlations due to pair spin-orbit interaction in 2D electron systems
• Unconventional orbital ordering and emergent dimensional reduction in fulleride superconductors
• Phonon-driven multipolar dynamics in a spin-orbit coupled Mott insulator
• Hybrid skyrmion and anti-skyrmion phases in polar $C_{4v}$ systems
• Phonon-Induced Collective Modes in Spin-Orbit Coupled Polar Metals
• Photo-induced Dynamics and Momentum Distribution of Chiral Charge Density Waves in 1T-TiSe${}_2$
• Uniform and Staggered electric axial moment in zigzag chain
• Metal-insulator transitions in pyrochlore oxides
• Dilemma in strongly correlated materials: Hund's metal vs relativistic Mott insulator
• The Symmetry Principle in Condensed Matter Physics (I)
• Nature of ferroelectric transitions in spin ice Ho2Ti2O7 and Dy2Ti2O7
• Odd-parity multipole order in the spin-orbit coupled metallic pyrochlore Pb${}_2$Re${}_2$O${}_{7-\delta }$
• Superconductivity at 12 K in La${}_2$IOs${}_2$: a 5d metal with osmium honeycomb layer
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• Nonreciprocal magnon excitations by the Dzyaloshinskii-Moriya interaction on the basis of bond magnetic toroidal multipoles
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• Composite Superconducting Orders and Magnetism in CeRh${}_2$As${}_2$