Theory of a chiral Fermi liquid: general formalism
arXiv:1306.1165 · doi:10.1103/PhysRevB.88.075115
Abstract
We extend the Fermi-liquid (FL) theory to include spin-orbit (SO) splitting of the energy bands, focusing on the Rashba SO coupling as an example. We construct the phenomenological Landau interaction function for such a system using the symmetry arguments and verify this construction by an explicit perturbative calculation. The Landau function is used to obtain the effective mass, compressibility, and stability conditions of the FL. It is shown that although the charge-sector properties, such as the effective mass and compressibility, are determined solely by well-defined quasiparticles, the spin-sector properties, such as the spin susceptibility, contain a contribution from damped states in between the spin-split Fermi surfaces, and thus cannot be fully described by the FL theory, except for the case of weak SO coupling. We derive some specific properties of a chiral FL and show, in particular, that for contact interaction spin-splitting of the Fermi velocities of Rashba subbands occurs because of the Kohn anomaly, also modified by SO coupling.
24 pages, 4 figures
References in corpus (26)
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
- Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
- A Bose-Einstein Condensate in a Uniform Light-induced Vector Potential
- Theory of spin-orbit coupling at LaAlO3/SrTiO3 interfaces and SrTiO3 surfaces
- Fermi liquid instabilities in the spin channel
- Chirality and Correlations in Graphene
- Quantum interference and Aharonov-Bohm oscillations in topological insulators
- Theory of t2g electron-gas Rashba interactions
- Dynamic generation of spin orbit coupling
- Graphene: A Pseudochiral Fermi Liquid
- Origin and Transport Signatures of Spin-Orbit Interactions in One- and Two-Dimensional SrTiO-Based Heterostructures
- Chiral spin resonance and spin-Hall conductivity in the presence of the electron-electron interactions
- Screening properties of the two-dimensional electron gas with spin-orbit coupling
- Nonanalytic paramagnetic response of itinerant fermions away and near a ferromagnetic quantum phase transition
- Meta-nematic, smectic and crystalline phases of dipolar fermions in an optical lattice
- Plasmon mass and Drude weight in strongly spin-orbit-coupled 2D electron gases
- Unconventional Fermi surface spin textures in the Bi_xPb_{1-x}/Ag(111) surface alloy
- Coulomb Drag and Spin Coulomb Drag in the presence of Spin-orbit Coupling
- Collective modes of spin-orbit coupled Fermi gases in the repulsive regime
- Exchange energy and generalized polarization in the presence of spin-orbit coupling in two dimensions
- Giant capacitance of a plane capacitor with a two-dimensional electron gas in a magnetic field
- Hartree-Fock ground state of the two-dimensional electron gas with Rashba spin-orbit interaction
- Momentum dependence of the spin susceptibility in two dimensions: nonanalytic corrections in the Cooper channel
- Charge and spin density response functions of the clean two-dimensional electron gas with Rashba spin-orbit coupling at finite momenta and frequencies
- Normal state properties of spin-orbit coupled Fermi gases in the upper branch of energy spectrum
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- Parity-breaking phases of spin-orbit-coupled metals with gyrotropic, ferroelectric and multipolar orders
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- Electron Spin Resonance in a Two-Dimensional Fermi Liquid with Spin-Orbit Coupling
- Fermi-liquid theory and Pomeranchuk instabilities: fundamentals and new developments
- Screening, Friedel oscillations and low-temperature conductivity in topological insulator thin films
- Intrinsic Damping of Collective Spin Modes in a Two-Dimensional Fermi Liquid with Spin-Orbit Coupling
- Landau theory of helical Fermi liquids
- A generalized Stoner criterion and versatile spin ordering in two-dimensional spin-orbit coupled electron systems
- Effective lattice model for collective modes in a Fermi liquid with spin-orbit coupling
- Collective spin modes in Fermi liquids with spin-orbit coupling
- Unconventional symmetries of Fermi liquid and Cooper pairing properties with electric and magnetic dipolar fermions
- Chirality and intrinsic dissipation of spin modes in two-dimensional electron liquids
- Rashba-metal to Mott-insulator transition
- Electron correlations due to pair spin-orbit interaction in 2D electron systems
- Electron Correlation Effects in Non-Centrosymmetric Metals in the Weak Coupling Regime
- Soft Modes and Nonanalyticities in a Clean Dirac Metal
- Effects of interaction on field-induced resonances in confined Fermi liquid
- Magnetic Quantum Phase Transitions in a Clean Dirac Metal
- Phonon-Induced Collective Modes in Spin-Orbit Coupled Polar Metals
- Resonant Edelstein and inverse-Edelstein effects, charge-to-spin conversion, and spin pumping from chiral-spin modes
- Two-particle scattering and resistivity of Rashba electron gas
- Chiral vortex-line liquid of three-dimensional interacting Bose systems with moat dispersion
- Delocalization of charge and current in a chiral quasiparticle wave-packet
- Zero-field spin resonance in graphene with proximity-induced spin-orbit coupling
- Gauging away the Stoner model: Engineering unconventional metallic ferromagnetism with artificial gauge fields