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

Torres, Emilio; Classen, Laura; Herbut, Igor F.; Scherer, Michael M.

doi:10.1103/PhysRevB.97.125137

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

Journal Article · Thu Mar 22 00:00:00 EDT 2018 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.97.125137· OSTI ID:1466621

Torres, Emilio ^[1]; Classen, Laura ^[2]; Herbut, Igor F. ^[3]; Scherer, Michael M. ^[1]

Univ. of Cologne (Germany)
Brookhaven National Lab. (BNL), Upton, NY (United States)
Simon Fraser Univ., Burnaby, BC (Canada)

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.

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Research Organization:: Brookhaven National Lab. (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0012704

OSTI ID:: 1466621

Alternate ID(s):: OSTI ID: 1427884

Report Number(s):: BNL-207976-2018-JAAM; PRBMDO

Journal Information:: Physical Review B, Vol. 97, Issue 12; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 24 works

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Momentum dependence of quantum critical Dirac systems Dabelow, Lennart; Gies, Holger; Knorr, Benjamin GSI Helmholtzzentrum fuer Schwerionenforschung, GSI, Darmstadt https://doi.org/10.15120/gsi-2019-00869	text	January 2019
Momentum dependence of quantum critical Dirac systems Dabelow, Lennart; Gies, Holger; Knorr, Benjamin Physical Review D, Vol. 99, Issue 12 https://doi.org/10.1103/physrevd.99.125019	journal	June 2019
Critical behavior of Dirac fermions from perturbative renormalization Ihrig, Bernhard; Mihaila, Luminita N.; Scherer, Michael M. arXiv https://doi.org/10.48550/arxiv.1806.04977	text	January 2018

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