Gradient expansion approach to multiple-band Fermi liquids

Abstract

Promoted by the recent progress of Berry phase physics in spin galvanomagnetic communities, we develop a systematic derivation of the reduced Keldysh equation (RKE) which captures the low-energy dynamics of quasi-particles constrained within doubly degenerate bands forming a single Fermi surface. Specifically, we project out the fully occupied/empty band degrees of freedom perturbatively in the gradient expansion, whose coupling constant measures how a system is disequilibrated. As for the electron-electron interactions, however, we only employ the so-called adiabatic assumption of the Fermi liquid theory, so that the effect of electron correlations onto the adiabatic transport of quasi-particles, i.e. the hermitian (real) part of the self-energy, is taken into account in an unbiased manner.

29 pages, 7 figures

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Cited by in corpus (31)

• Berry Phase Effects on Electronic Properties
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Chiral Kinetic Theory
• Semiclassical theories of the anomalous Hall effect
• Kinetic theory with Berry curvature from quantum field theories
• Kinetic theory of chiral relativistic plasmas and energy density of their gauge collective excitations
• Non-Abelian gauge fields in the gradient expansion: generalized Boltzmann and Eilenberger equations
• Transport theory for disordered multiple-band systems: Anomalous Hall effect and anisotropic magnetoresistance
• Hydrodynamic theory of coupled current and magnetization dynamics in spin-textured ferromagnets
• Interplay between interaction and chiral anomaly: Anisotropy in the electrical resistivity of interacting Weyl metals
• Large enhancement of conductivity in Weyl semimetals with tilted cones: Pseudorelativity and linear response
• Quantum kinetic equation in phase-space textured multiband systems
• Berry Fermi Liquid Theory
• Topological invariant for two-dimensional open systems
• Effective Quantum Theories for Transport in Inhomogeneous Systems with Non-trivial Band Structure
• Interaction-enhanced integer quantum Hall effect in disordered systems
• Geometric optics of Bloch waves in a chiral and dissipative medium
• Topological transport in a spin-orbit coupled bosonic Mott insulator
• Chiral Topological Excitons in a Chern Band Insulator
• Measuring the topological phase transition via the single-particle density matrix
• Quasiparticle Berry curvature and Chern numbers in spin-orbit coupled bosonic Mott insulators
• Semiclassical kinetic theory for systems with non-trivial quantum geometry and the expectation value of physical quantities
• Artificial electric field and electron hydrodynamics
• Quantum Kinetic Theory of the Linear Response for Weakly Disordered Multiband Systems
• Effective field theory of Berry Fermi liquid from the coadjoint orbit method
• Theory of wavepacket transport under narrow gaps and spatial textures: non-adiabaticity and semiclassicality
• Chiral magnetic effect of light
• Derivation of Semiclassical Kinetic Theory in the Presence of Non-Abelian Berry Curvature
• Electric field effect on electron gas spins in two-dimensional magnets with strong spin-orbit coupling
• Gradient expansion of the non-Abelian gauge-covariant Moyal star-product
• Fate of a multiple-band Fermi liquid that is coupled with critical ${\varphi }^4$ bosons