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Fermionic multicriticality near Kekulé valence-bond ordering on a honeycomb lattice
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Stockholm University, Roslagstullsbacken 23, Stockholm, 10691, Sweden.
2019 (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 Kekulé valence-bond solid (KVBS) and charge-density-wave (Nb=1) or s-wave pairing (Nb=2) or antiferromagnet (Nb=3) in a honeycomb lattice, where Nb 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 Z3 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+Nb) symmetric MCP, at leas near two spatial dimensions, where Nb=1,2,3. Therefore, MCPs with an enlarged O(2+Nb) symmetry near KVBS ordering are stable.

Place, publisher, year, edition, pages
American Physical Society, 2019. Vol. 99, no 24, article id 241103
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-262634DOI: 10.1103/PhysRevB.99.241103ISI: 000470839200001Scopus ID: 2-s2.0-85068603039OAI: oai:DiVA.org:kth-262634DiVA, id: diva2:1362144
Note

QC 20191018

Available from: 2019-10-18 Created: 2019-10-18 Last updated: 2019-10-18Bibliographically approved

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