Janssen, Lukas ORCID: 0000-0003-4919-796X, Herbut, Igor F. and Scherer, Michael M. (2018). Compatible orders and fermion-induced emergent symmetry in Dirac systems. Phys. Rev. B, 97 (4). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969

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Abstract

We study the quantum multicritical point in a (2+1)-dimensional Dirac system between the semimetallic phase and two ordered phases that are characterized by anticommuting mass terms with O(N-1) and O(N-2) symmetries, respectively. Using epsilon expansion around the upper critical space-time dimension of four, we demonstrate the existence of a stable renormalization-group fixed point, enabling a direct and continuous transition between the two ordered phases directly at the multicritical point. This point is found to be characterized by an emergent O(N-1 + N-2) symmetry for arbitrary values of N-1 and N-2 and fermion flavor numbers N-f as long as the corresponding representation of the Clifford algebra exists. Small O(N)-breaking perturbations near the chiral O(N) fixed point are therefore irrelevant. This result can be traced back to the presence of gapless Dirac degrees of freedom at criticality, and it is in clear contrast to the purely bosonic O(N) fixed point, which is stable only whenN < 3. As a by-product, we obtain predictions for the critical behavior of the chiral O(N) universality classes for arbitrary N and fermion flavor number N-f. Implications for critical Weyl and Dirac systems in 3+1 dimensions are also briefly discussed.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Janssen, LukasUNSPECIFIEDorcid.org/0000-0003-4919-796XUNSPECIFIED
Herbut, Igor F.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Scherer, Michael M.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-198449
DOI: 10.1103/PhysRevB.97.041117
Journal or Publication Title: Phys. Rev. B
Volume: 97
Number: 4
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:
KeywordsLanguage
Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed MatterMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/19844

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