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Fermionic multicriticality near Kekule valence-bond ordering on a honeycomb lattice
Stockholm University, Nordic Institute for Theoretical Physics (Nordita).ORCID iD: 0000-0002-3000-5393
Number of Authors: 22019 (English)In: Physical Review B, ISSN 2469-9950, E-ISSN 2469-9969, Vol. 99, no 24, article id 241103Article in journal (Refereed) Published
Abstract [en]

We analyze the possibility of emergent quantum multicritical points (MCPs) with enlarged chiral symmetry, when strongly interacting gapless Dirac fermions acquire a comparable propensity toward the nucleation of Kekule valence-bond solid (KVBS) and charge-density-wave (N-b = 1) or s-wave pairing (N-b = 2) or antiferromagnet (N-b = 3) in a honeycomb lattice, where N-b counts the number of bosonic order-parameter components. Besides the cubic terms present in the order-parameter description of KVBS due to the breaking of a discrete Z(3) symmetry, quantum fluctuations generate new cubic vertices near the high-symmetry MCPs. All cubic terms are strongly relevant at the bare level near three spatial dimensions, about which we perform a leading-order renormalization group analysis of coupled Gross-Neveu-Yukawa field theory. We show that due to nontrivial Yukawa interactions among gapless bosonic and fermionic degrees of freedom, all cubic terms ultimately become irrelevant at an O(2 + N-b) symmetric MCP, at leas near two spatial dimensions, where N-b = 1, 2, 3. Therefore, MCPs with an enlarged O(2 + N-b) symmetry near KVBS ordering are stable.

Place, publisher, year, edition, pages
2019. Vol. 99, no 24, article id 241103
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-170049DOI: 10.1103/PhysRevB.99.241103ISI: 000470839200001OAI: oai:DiVA.org:su-170049DiVA, id: diva2:1329053
Available from: 2019-06-24 Created: 2019-06-24 Last updated: 2019-12-09Bibliographically approved

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