Fermioninduced quantum criticality with two length scales in Dirac systems
The quantum phase transition to a Z _{3}ordered Kekule valence bond solid in twodimensional Dirac semimetals is governed by a fermioninduced 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 symmetrybroken side of the phase transition, for general dimension and number of Dirac fermions. In particular, we investigate the emergence of the fermioninduced quantum critical point for spacetime dimensions 2 < d < 4. We determine the integrated RG ow from the Dirac semimetal to the symmetrybroken regime and analyze the underlying fixed point structure. We show that the fermioninduced 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]}
 Univ. of Cologne (Germany)
 Brookhaven National Lab. (BNL), Upton, NY (United States)
 Simon Fraser Univ., Burnaby, BC (Canada)
 Publication Date:
 Report Number(s):
 BNL2079762018JAAM
Journal ID: ISSN 24699950; PRBMDO
 Grant/Contract Number:
 SC0012704
 Type:
 Accepted Manuscript
 Journal Name:
 Physical Review B
 Additional Journal Information:
 Journal Volume: 97; Journal Issue: 12; Journal ID: ISSN 24699950
 Publisher:
 American Physical Society (APS)
 Research Org:
 Brookhaven National Lab. (BNL), Upton, NY (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC22)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
 OSTI Identifier:
 1466621
 Alternate Identifier(s):
 OSTI ID: 1427884
Torres, Emilio, Classen, Laura, Herbut, Igor F., and Scherer, Michael M.. Fermioninduced quantum criticality with two length scales in Dirac systems. United States: N. p.,
Web. doi:10.1103/PhysRevB.97.125137.
Torres, Emilio, Classen, Laura, Herbut, Igor F., & Scherer, Michael M.. Fermioninduced 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.. 2018.
"Fermioninduced quantum criticality with two length scales in Dirac systems". United States.
doi:10.1103/PhysRevB.97.125137.
@article{osti_1466621,
title = {Fermioninduced 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 Z3ordered Kekule valence bond solid in twodimensional Dirac semimetals is governed by a fermioninduced 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 symmetrybroken side of the phase transition, for general dimension and number of Dirac fermions. In particular, we investigate the emergence of the fermioninduced quantum critical point for spacetime dimensions 2 < d < 4. We determine the integrated RG ow from the Dirac semimetal to the symmetrybroken regime and analyze the underlying fixed point structure. We show that the fermioninduced 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 = {2018},
month = {3}
}
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