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Current Algebra Approach to 2d Chiral Metals

Lee, Chao-Jung and Mulligan, Michael (2022) Current Algebra Approach to 2d Chiral Metals. . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20220517-214251753

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Abstract

We reinterpret Balents and Fisher's free 2d chiral metal [Phys. Rev. Lett. 76, 2782 (1996)] as a chiral U(N) Wess-Zumino-Witten model at level k=1. Here, the U(N) symmetry relates the N→∞ low-energy excitations about the chiral Fermi surface. We obtain non-Fermi liquid generalizations of the free chiral metal that maintain the U(N) symmetry of the k=1 theory by taking the level to be a positive integer k>1. We calculate two-point correlation functions of the U(1) number density and current operators in these theories for general k. We find k to provide an overall rescaling of the amplitude of these correlation functions. This construction illustrates the ersatz Fermi liquid proposal of Else, Thorgren, and Senthil [Phys. Rev. X 11, 021005 (2021)].


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
https://arxiv.org/abs/2204.05328arXivDiscussion Paper
ORCID:
AuthorORCID
Lee, Chao-Jung0000-0003-3339-1522
Additional Information:Attribution 4.0 International (CC BY 4.0). We thank Mike Hermele, Shamit Kachru, Chetan Nayak, Sri Raghu, Kirill Shtengel, and Shan-Wen Tsai for useful conversations and correspondence. We also thank Pak Kau Lim and Jeffrey Teo for collaboration on related matters. This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of Basic Energy Sciences under Award No. DE-SC0020007.
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0020007
Record Number:CaltechAUTHORS:20220517-214251753
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20220517-214251753
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:114785
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:18 May 2022 14:11
Last Modified:18 May 2022 14:11

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