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Wilsonian effective field theory of two-dimensional Van Hove singularities

Kapustin, Anton and McKinney, Tristan and Rothstein, Ira Z. (2018) Wilsonian effective field theory of two-dimensional Van Hove singularities. Physical Review B, 98 (3). Art. No. 035122. ISSN 2469-9950. doi:10.1103/PhysRevB.98.035122.

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We study two-dimensional fermions with a short-range interaction in the presence of a Van Hove singularity. It is shown that this system can be consistently described by an effective field theory whose Fermi surface is subdivided into regions as defined by a factorization scale, and that the theory is renormalizable in the sense that all of the counterterms are well defined in the IR limit. The theory has the unusual feature that the renormalization-group equation for the coupling has an explicit dependence on the renormalization scale, much as in theories of Wilson lines. In contrast to the case of a round Fermi surface, there are multiple marginal interactions with nontrivial RG flow. The Cooper instability remains strongest in the BCS channel. We also show that the marginal Fermi-liquid scenario for the quasiparticle width is a robust consequence of the Van Hove singularity. Our results are universal in the sense that they do not depend on the detailed properties of the Fermi surface away from the singularity.

Item Type:Article
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URLURL TypeDescription Paper
Kapustin, Anton0000-0003-3903-5158
Rothstein, Ira Z.0000-0002-3374-4212
Alternate Title:Effective Field Theory of 2D van Hove Singularities, Wilsonian effective field theory of 2D van Hove singularities
Additional Information:© 2018 American Physical Society. Received 30 January 2016; revised manuscript received 11 May 2018; published 17 July 2018. This work was supported by DOE Contracts No. DE-SC0011632, No. DE-FG02-92ER40701, No. DOE-ER-40682-143, and No. DE-AC02-6CH03000. The authors gratefully acknowledge helpful conversations with J. Polchinski, M. Metlitskii, L. Motrunich, and I. Saberi. A.K. and T.M. are grateful to the Simons Center for Geometry and Physics for hospitality during various stages of this work. A.K. is also grateful to the Aspen Center for Physics, the Kavli Institute for Physics and Mathematics of the Universe, and Institut des Hautes Etudes Scientifiques for hospitality. I.Z.R. is grateful to the Caltech theory group for hospitality and to the Moore Foundation for support.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0011632
Department of Energy (DOE)DE-FG02-92ER40701
Department of Energy (DOE)DOE-ER-40682-143
Department of Energy (DOE)DE-AC02-6CH03000
Gordon and Betty Moore FoundationUNSPECIFIED
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Issue or Number:3
Record Number:CaltechAUTHORS:20160125-190842565
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:63951
Deposited By: Joy Painter
Deposited On:26 Jan 2016 18:44
Last Modified:10 Nov 2021 23:23

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