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Article: Mott insulating states and quantum phase transitions of correlated SU(2N) Dirac fermions

TitleMott insulating states and quantum phase transitions of correlated SU(2N) Dirac fermions
Authors
Issue Date2016
PublisherAmerican Physical Society. The Journal's web site is located at http://journals.aps.org/prb/
Citation
Physical Review B: covering condensed matter and materials physics, 2016, v. 93 n. 24, article no. 245157 How to Cite?
Abstract© 2016 American Physical Society. The interplay between charge and spin degrees of freedom in strongly correlated fermionic systems, in particular of Dirac fermions, is a long-standing problem in condensed matter physics. We investigate the competing orders in the half-filled SU(2N) Hubbard model on a honeycomb lattice, which can be accurately realized in optical lattices with ultracold large-spin alkaline-earth fermions. Employing large-scale projector determinant quantum Monte Carlo simulations, we have explored quantum phase transitions from the gapless Dirac semimetals to the gapped Mott insulating phases in the SU(4) and SU(6) cases. Both of these Mott insulating states are found to be columnar valence bond solid (cVBS) and to be absent of the antiferromagnetic Néel ordering and the loop current ordering. Inside the cVBS phases, the dimer ordering is enhanced by increasing fermion components and behaves nonmonotonically as the interaction strength increases. Although the transitions generally should be of first order due to a cubic invariance possessed by the cVBS order, the coupling to gapless Dirac fermions can soften the transitions to second order through a nonanalytic term in the free energy. Our simulations provide important guidance for the experimental explorations of novel states of matter with ultracold alkaline-earth fermions.
Persistent Identifierhttp://hdl.handle.net/10722/268581
ISSN
2023 Impact Factor: 3.2
2023 SCImago Journal Rankings: 1.345
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorZhou, Zhichao-
dc.contributor.authorWang, Da-
dc.contributor.authorMeng, Zi Yang-
dc.contributor.authorWang, Yu-
dc.contributor.authorWu, Congjun-
dc.date.accessioned2019-03-25T08:00:07Z-
dc.date.available2019-03-25T08:00:07Z-
dc.date.issued2016-
dc.identifier.citationPhysical Review B: covering condensed matter and materials physics, 2016, v. 93 n. 24, article no. 245157-
dc.identifier.issn2469-9950-
dc.identifier.urihttp://hdl.handle.net/10722/268581-
dc.description.abstract© 2016 American Physical Society. The interplay between charge and spin degrees of freedom in strongly correlated fermionic systems, in particular of Dirac fermions, is a long-standing problem in condensed matter physics. We investigate the competing orders in the half-filled SU(2N) Hubbard model on a honeycomb lattice, which can be accurately realized in optical lattices with ultracold large-spin alkaline-earth fermions. Employing large-scale projector determinant quantum Monte Carlo simulations, we have explored quantum phase transitions from the gapless Dirac semimetals to the gapped Mott insulating phases in the SU(4) and SU(6) cases. Both of these Mott insulating states are found to be columnar valence bond solid (cVBS) and to be absent of the antiferromagnetic Néel ordering and the loop current ordering. Inside the cVBS phases, the dimer ordering is enhanced by increasing fermion components and behaves nonmonotonically as the interaction strength increases. Although the transitions generally should be of first order due to a cubic invariance possessed by the cVBS order, the coupling to gapless Dirac fermions can soften the transitions to second order through a nonanalytic term in the free energy. Our simulations provide important guidance for the experimental explorations of novel states of matter with ultracold alkaline-earth fermions.-
dc.languageeng-
dc.publisherAmerican Physical Society. The Journal's web site is located at http://journals.aps.org/prb/-
dc.relation.ispartofPhysical Review B: covering condensed matter and materials physics-
dc.titleMott insulating states and quantum phase transitions of correlated SU(2N) Dirac fermions-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1103/PhysRevB.93.245157-
dc.identifier.scopuseid_2-s2.0-84976902063-
dc.identifier.volume93-
dc.identifier.issue24-
dc.identifier.spagearticle no. 245157-
dc.identifier.epagearticle no. 245157-
dc.identifier.eissn2469-9969-
dc.identifier.isiWOS:000378816700005-
dc.identifier.issnl2469-9950-

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