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Title: Fermion-induced quantum criticality with two length scales in Dirac systems

Abstract

The quantum phase transition to a Z 3-ordered Kekule valence bond solid in two-dimensional Dirac semimetals is governed by a fermion-induced quantum critical point, which renders the putatively discontinuous transition continuous. We study the resulting universal critical behavior in terms of a functional RG approach, which gives access to the scaling behavior on the symmetry-broken side of the phase transition, for general dimension and number of Dirac fermions. In particular, we investigate the emergence of the fermion-induced quantum critical point for space-time dimensions 2 < d < 4. We determine the integrated RG ow from the Dirac semi-metal to the symmetry-broken regime and analyze the underlying fixed point structure. We show that the fermion-induced criticality leads to a scaling form with two divergent length scales, due to the breaking of the discrete Z 3 symmetry. This provides another source of scaling corrections, besides the one stemming from being in the proximity to the first order transition.

Authors:
 [1];  [2];  [3];  [1]
  1. Univ. of Cologne (Germany)
  2. Brookhaven National Lab. (BNL), Upton, NY (United States)
  3. Simon Fraser Univ., Burnaby, BC (Canada)
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1466621
Alternate Identifier(s):
OSTI ID: 1427884
Report Number(s):
BNL-207976-2018-JAAM
Journal ID: ISSN 2469-9950; PRBMDO
Grant/Contract Number:  
SC0012704
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 97; Journal Issue: 12; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Torres, Emilio, Classen, Laura, Herbut, Igor F., and Scherer, Michael M.. Fermion-induced quantum criticality with two length scales in Dirac systems. United States: N. p., 2018. Web. doi:10.1103/PhysRevB.97.125137.
Torres, Emilio, Classen, Laura, Herbut, Igor F., & Scherer, Michael M.. Fermion-induced quantum criticality with two length scales in Dirac systems. United States. doi:10.1103/PhysRevB.97.125137.
Torres, Emilio, Classen, Laura, Herbut, Igor F., and Scherer, Michael M.. Thu . "Fermion-induced quantum criticality with two length scales in Dirac systems". United States. doi:10.1103/PhysRevB.97.125137.
@article{osti_1466621,
title = {Fermion-induced quantum criticality with two length scales in Dirac systems},
author = {Torres, Emilio and Classen, Laura and Herbut, Igor F. and Scherer, Michael M.},
abstractNote = {The quantum phase transition to a Z3-ordered Kekule valence bond solid in two-dimensional Dirac semimetals is governed by a fermion-induced quantum critical point, which renders the putatively discontinuous transition continuous. We study the resulting universal critical behavior in terms of a functional RG approach, which gives access to the scaling behavior on the symmetry-broken side of the phase transition, for general dimension and number of Dirac fermions. In particular, we investigate the emergence of the fermion-induced quantum critical point for space-time dimensions 2 < d < 4. We determine the integrated RG ow from the Dirac semi-metal to the symmetry-broken regime and analyze the underlying fixed point structure. We show that the fermion-induced criticality leads to a scaling form with two divergent length scales, due to the breaking of the discrete Z3 symmetry. This provides another source of scaling corrections, besides the one stemming from being in the proximity to the first order transition.},
doi = {10.1103/PhysRevB.97.125137},
journal = {Physical Review B},
number = 12,
volume = 97,
place = {United States},
year = {Thu Mar 22 00:00:00 EDT 2018},
month = {Thu Mar 22 00:00:00 EDT 2018}
}

Journal Article:
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