Berry Fermi liquid theory

Journal Article · Fri Dec 09 00:00:00 EST 2016 · Annals of Physics

DOI:https://doi.org/10.1016/j.aop.2016.12.017· OSTI ID:1595709

Chen, Jing-Yuan ^[1]; Son, Dam Thanh ^[2]

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1. Univ. of Chicago, IL (United States). Kadanoff Center for Theoretical Physics; Stanford Univ., CA (United States). Stanford Inst. for Theoretical Physics
2. Univ. of Chicago, IL (United States). Kadanoff Center for Theoretical Physics

In this study, 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.

• Research Organization: Univ. of Chicago, IL (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF); US Army Research Office (ARO); ARO MURI
• Grant/Contract Number: SC0009924; FG02-13ER41958; DMR-1420709; 63834-PH-MUR
• OSTI ID: 1595709
• Alternate ID(s): OSTI ID: 1416596
• Journal Information: Annals of Physics, Vol. 377, Issue C; ISSN 0003-4916
• Publisher: Elsevier
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Fermi liquid
Berry curvature
Anomalous Hall effect
Anomaly transport