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Title: Berry Fermi liquid theory

Publication Date:
Sponsoring Org.:
OSTI Identifier:
Grant/Contract Number:
FG02-13ER41958; SC0009924
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Annals of Physics
Additional Journal Information:
Journal Volume: 377; Journal Issue: C; Related Information: CHORUS Timestamp: 2018-01-11 06:25:49; Journal ID: ISSN 0003-4916
Country of Publication:
United States

Citation Formats

Chen, Jing-Yuan, and Son, Dam Thanh. Berry Fermi liquid theory. United States: N. p., 2017. Web. doi:10.1016/j.aop.2016.12.017.
Chen, Jing-Yuan, & Son, Dam Thanh. Berry Fermi liquid theory. United States. doi:10.1016/j.aop.2016.12.017.
Chen, Jing-Yuan, and Son, Dam Thanh. Wed . "Berry Fermi liquid theory". United States. doi:10.1016/j.aop.2016.12.017.
title = {Berry Fermi liquid theory},
author = {Chen, Jing-Yuan and Son, Dam Thanh},
abstractNote = {},
doi = {10.1016/j.aop.2016.12.017},
journal = {Annals of Physics},
number = C,
volume = 377,
place = {United States},
year = {Wed Feb 01 00:00:00 EST 2017},
month = {Wed Feb 01 00:00:00 EST 2017}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1016/j.aop.2016.12.017

Citation Metrics:
Cited by: 2works
Citation information provided by
Web of Science

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  • 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.more » - 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.« less
  • Cited by 174
  • We show how Fermi-liquid theory can be applied to ultracold Fermi gases, thereby expanding their ''simulation'' capabilities to a class of problems of interest to multiple physics subdisciplines. We introduce procedures for measuring and calculating position-dependent Landau parameters. This lays the groundwork for addressing important controversial issues: (i) the suggestion that thermodynamically, the normal state of a unitary gas is indistinguishable from a Fermi liquid and (ii) that a fermionic system with strong repulsive contact interactions is associated with either ferromagnetism or localization; this relates as well to {sup 3}He and its p-wave superfluidity.