Berry Fermi liquid theory

Journal Article · Wed Feb 15 00:00:00 EST 2017 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2016.12.017· OSTI ID:22617474

Chen, Jing-Yuan ^[1]

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1. Kadanoff Center for Theoretical Physics, University of Chicago, Chicago, IL 60637 (United States)

We develop an extension of the Landau Fermi liquid theory to systems of interacting fermions with non-trivial Berry curvature. We propose a kinetic equation and a constitutive relation for the electromagnetic current that together encode the linear response of such systems to external electromagnetic perturbations, to leading and next-to-leading orders in the expansion over the frequency and wave number of the perturbations. We analyze the Feynman diagrams in a large class of interacting quantum field theories and show that, after summing up all orders in perturbation theory, the current–current correlator exactly matches with the result obtained from the kinetic theory. - Highlights: • We extend Landau’s kinetic theory of Fermi liquid to incorporate Berry phase. • Berry phase effects in Fermi liquid take exactly the same form as in Fermi gas. • There is a new “emergent electric dipole” contribution to the anomalous Hall effect. • Our kinetic theory is matched to field theory to all orders in Feynman diagrams.

• OSTI ID: 22617474
• Journal Information: Annals of Physics, Vol. 377; Other Information: Copyright (c) 2016 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
FERMI GAS
FERMIONS
FEYNMAN DIAGRAM
HALL EFFECT
KINETIC EQUATIONS
PERTURBATION THEORY
QUANTUM FIELD THEORY