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Spin liquid versus long range magnetic order in the frustrated body-centered tetragonal lattice

hal.structure.identifierLaboratoire Ondes et Matière d'Aquitaine [LOMA]
hal.structure.identifierInternational Institute of Physics [Natal]
hal.structure.identifierDepartamento de Fisica Teorica e Experimental [Natal]
dc.contributor.authorSILVA DE FARIAS, Carlene
hal.structure.identifierInstituto de Fisica [Porto Alegre]
dc.contributor.authorTHOMAS, Christopher
hal.structure.identifierInstitut de Physique Théorique - UMR CNRS 3681 [IPHT]
dc.contributor.authorPÉPIN, Catherine
hal.structure.identifierInternational Institute of Physics [Natal]
hal.structure.identifierDepartamento de Fisica Teorica e Experimental [Natal]
dc.contributor.authorFERRAZ, Alvaro
hal.structure.identifierThéorie de la Matière Condensée [NEEL - TMC]
dc.contributor.authorLACROIX, Claudine
hal.structure.identifierLaboratoire Ondes et Matière d'Aquitaine [LOMA]
dc.contributor.authorBURDIN, Sébastien
dc.date.created2016-02-02
dc.date.issued2016-10-01
dc.identifier.issn2469-9950
dc.description.abstractEnWe show how spin-liquid (SL) states can be stabilized in a realistic three-dimensional model as a result of frustration. $\text{SU}(n)$-symmetric generalization of the Heisenberg model for quantum spin $S$ operators is used to investigate the frustrated body-centered tetragonal (BCT) lattice with antiferromagnetic interlayer coupling ${J}_{1}$ and intralayer first and second-neighbor couplings ${J}_{2}$ and ${J}_{3}$. By using complementary representations of the spin operators, we study the phase diagram characterizing the ground state of this system. For small $n$, we find that the most stable solutions correspond to four different families of long-range magnetic orders that are governed by ${J}_{1},\phantom{\rule{0.16em}{0ex}}{J}_{2}$, and ${J}_{3}$. First, some possible instabilities of these phases are identified for $n=2$, in large $S$ expansions, up to the linear spin-wave corrections. Then, using a fermionic representation of the $\text{SU}(n)$ spin operators for $S=1/2$, we find that purely magnetic orders occur for $n\ensuremath{\le}3$ while SL solutions are stabilized for $n\ensuremath{\ge}10$. The SL solution governed by ${J}_{1}$ breaks the lattice translation symmetry. The modulated SL is associated with a commensurate ordering wave vector $(1,1,1)$. For $4\ensuremath{\le}n\ensuremath{\le}9$, we show how the competition between ${J}_{1},\phantom{\rule{0.16em}{0ex}}{J}_{2}$, and ${J}_{3}$ can turn the magnetically ordered ground state into a SL state. Finally, we discuss the relevance of this scenario for correlated systems with BCT crystal structure.
dc.language.isoen
dc.publisherAmerican Physical Society
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/
dc.title.enSpin liquid versus long range magnetic order in the frustrated body-centered tetragonal lattice
dc.typeArticle de revue
dc.identifier.doi10.1103/PhysRevB.94.134420
dc.subject.halPhysique [physics]/Matière Condensée [cond-mat]/Supraconductivité [cond-mat.supr-con]
dc.identifier.arxiv1602.00938
bordeaux.journalPhysical Review B
bordeaux.page134410
bordeaux.volume94
bordeaux.issue13
bordeaux.peerReviewedoui
hal.identifierhal-01396667
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01396667v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Physical%20Review%20B&rft.date=2016-10-01&rft.volume=94&rft.issue=13&rft.spage=134410&rft.epage=134410&rft.eissn=2469-9950&rft.issn=2469-9950&rft.au=SILVA%20DE%20FARIAS,%20Carlene&THOMAS,%20Christopher&P%C3%89PIN,%20Catherine&FERRAZ,%20Alvaro&LACROIX,%20Claudine&rft.genre=article


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