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Title: Nematic phase in a two-dimensional Hubbard model at weak coupling and finite temperature
Authors: Slizovskiy, Sergey
Rodriguez-Lopez, Pablo
Betouras, Joseph J.
Issue Date: 2018
Publisher: © American Physical Society
Citation: SLIZOVSKIY, S., RODRIGUEZ-LOPEZ, P. and BETOURAS, J.J., 2018. Nematic phase in a two-dimensional Hubbard model at weak coupling and finite temperature. Physical Review B, 98 (7), 075126.
Abstract: We apply the self-consistent renormalized perturbation theory to the Hubbard model on the square lattice at finite temperatures to study the evolution of the Fermi surface (FS) as a function of temperature and doping. Previously, a nematic phase for the same model has been reported to appear at weak coupling near a Lifshitz transition from closed to open FS at zero temperature where the self-consistent renormalized perturbation theory was shown to be sensitive to small deformations of the FS. We find that the competition with the superconducting order leads to a maximal nematic order appearing at nonzero temperature. We explicitly observe the two competing phases near the onset of nematic instability, and by comparing the grand canonical potentials, we find that the transitions are first order. We explain the origin of the interaction-driven spontaneous symmetry breaking to a nematic phase in a system with several symmetry-related Van Hove points and discuss the required conditions.
Description: This paper was published in the journal Physical Review B and the definitive published version is available at https://doi.org/10.1103/PhysRevB.98.075126.
Sponsor: S.S. acknowledges financial support from EPSRC through Grant No. EP/I02669X/1 and the Graphene Flagship at the University of Manchester. P.R.-L. acknowledges financial support from the US Department of Energy under Grant No. DE-FG02-06ER46297, from EPSRC under Grant No. EP/H049797/1, project TerMic (Grant No. FIS2014-52486-R, Spanish Government), project CONTRACT (Grant No. FIS2017-83709-R, Spanish Government), and from Juan de la Cierva, Incorporacion program (Ref: I JCI-2015-25315, Spanish Government). J.J.B.’s work has been supported by EPSRC through Grants No. EP/H049797/1 and No. EP/P002811/1.
Version: Accepted for publication
DOI: 10.1103/PhysRevB.98.075126
URI: https://dspace.lboro.ac.uk/2134/36609
Publisher Link: https://doi.org/10.1103/PhysRevB.98.075126
ISSN: 2469-9950
Appears in Collections:Published Articles (Physics)

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