Universität zu Köln

Torres, Emilio, Classen, Laura, Herbut, Igor F. and Scherer, Michael M. ORCID: 0000-0003-0766-9949 (2018). Fermion-induced quantum criticality with two length scales in Dirac systems. Phys. Rev. B, 97 (12). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969

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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 dimensions and number of Dirac fermions. In particular, we investigate the emergence of the fermion-induced quantum critical point for spacetime dimensions 2 < D < 4. We determine the integrated RG flow from the Dirac semimetal 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.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Torres, Emilio UNSPECIFIED UNSPECIFIED UNSPECIFIED Classen, Laura UNSPECIFIED UNSPECIFIED UNSPECIFIED Herbut, Igor F. UNSPECIFIED UNSPECIFIED UNSPECIFIED Scherer, Michael M. UNSPECIFIED orcid.org/0000-0003-0766-9949 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-192532
DOI:	10.1103/PhysRevB.97.125137
Journal or Publication Title:	Phys. Rev. B
Volume:	97
Number:	12
Date:	2018
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2469-9969
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language CRITICAL EXPONENTS; POTTS-MODEL; FIELD-THEORY; PHASE; EQUATION; TRANSITION Multiple languages Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed Matter Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/19253