Artificial electric field in Fermi Liquids

Abstract

Based on the Keldysh formalism, we derive an effective Boltzmann equation for a quasi-particle associated with a particular Fermi surface in an interacting Fermi liquid. This provides a many-body derivation of Berry curvatures in electron dynamics with spin-orbit coupling, which has received much attention in recent years in non-interacting models. As is well-known, the Berry curvature in momentum space modifies naive band dynamics via an artificial magnetic field in momentum space. Our Fermi liquid formulation completes the reinvention of modified band dynamics by introducing in addition an "artificial electric field", related to Berry curvature in frequency and momentum space. We show explicitly how the artificial electric field affects the renormalization factor and transverse conductivity of interacting U(1) Fermi liquids with non-degenerate bands. Accordingly, we also propose a method of momentum resolved Berry's curvature detection in terms of angle resolved photoemission spectroscopy (ARPES).

References in corpus (5)

• Experimental observation of the spin-Hall effect in a two dimensional spin-orbit coupled semiconductor system
• Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
• Anomalous Hall Effect and Magnetic Monopoles in Momentum-Space
• Berry Curvature on the Fermi Surface: Anomalous Hall Effect as a Topological Fermi-Liquid Property
• Berry phase correction to electron density of states in solids

Cited by in corpus (19)

• Berry Phase Effects on Electronic Properties
• Parity-breaking phases of spin-orbit-coupled metals with gyrotropic, ferroelectric and multipolar orders
• Spin-orbit coupling and semiclassical electron dynamics in noncentrosymmetric metals
• Chiral Bosonic Phases on the Haldane Honeycomb Lattice
• Gradient expansion approach to multiple-band Fermi liquids
• Quantum kinetic equation in phase-space textured multiband systems
• Topological invariant for two-dimensional open systems
• 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
• Artificial electric field and electron hydrodynamics
• Anomalous Hall effects beyond Berry magnetic fields in a Weyl metal phase
• Derivation of Semiclassical Kinetic Theory in the Presence of Non-Abelian Berry Curvature
• Nambu-Eliashberg theory for multi-scale quantum criticality : Application to ferromagnetic quantum criticality in the surface of three dimensional topological insulators
• Frequency Domain Berry Curvature Effect on Time Refraction
• Fate of a multiple-band Fermi liquid that is coupled with critical ${\varphi }^4$ bosons