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dc.contributor.author
Avalishvili, N.
dc.contributor.author
Japaridze, G. I.
dc.contributor.author
Rossini, Gerardo Luis
dc.date.available
2021-01-07T19:23:49Z
dc.date.issued
2019-05-31
dc.identifier.citation
Avalishvili, N.; Japaridze, G. I.; Rossini, Gerardo Luis; Long-range spin chirality dimer order in the Heisenberg chain with modulated Dzyaloshinskii-Moriya interactions; American Physical Society; Physical Review B: Condensed Matter and Materials Physics; 99; 20; 31-5-2019; 1-12
dc.identifier.issn
1098-0121
dc.identifier.uri
http://hdl.handle.net/11336/121768
dc.description.abstract
The ground-state phase diagram of a spin S = 1 2 XXZ Heisenberg chain with spatially modulated Dzyaloshinskii-Moriya interaction H= n{J(Sx nSx n+1 +Sy nSy n+1 )+JzSz nSz n+1 +[D0 +(−1)nD1](Sx nSy n+1 −S y nSx n+1 )}is studied using the continuum-limit bosonization approach and extensive density-matrix renormalizationgroupcomputations.Itisshownthattheeffectivecontinuum-limitbosonizedtheoryofthemodelisgivenby the double-frequency sine-Gordon model (DSG) where the frequencies, i.e., the scaling dimensions of the two competing cosine perturbation terms, depend on the effective anisotropy parameter γ∗ =Jz/ J2 +D2 0 +D2 1. Exploring the ground-state properties of the DSG model we show that the zero-temperature phase diagram contains the following four phases: (i) the ferromagnetic phase at γ∗ −1; (ii) the gapless Luttinger-liquid (LL) phase at−1 <γ∗ <γ∗ C1 =− 1/√2; (iii) the gapped composite (C1) phase characterized by coexistence of the long-range-ordered (LRO) dimerization pattern ∼ (−1)n(SnSn+1) with the LRO alternating spin chirality pattern κ ∼ (−1)n(Sx nSy n+1 −Sy nSx n+1 ) atγ∗ C1 <γ∗ <γ∗ C2; and (iv) at γ∗ >γ∗ C2 > 1 the gapped composite (C2) phase characterized in addition to the coexisting spin dimerization and alternating chirality patterns, by the presence of LRO antiferromagnetic order. The transition from the LL to the C1 phase at γ∗ C1 belongs to the Berezinskii-Kosterlitz-Thouless universality class, while the transition at γ∗ = γ∗ C2 from C1 to C2 phase is of the Ising type.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Physical Society
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Quantized spin models
dc.subject
Long range order
dc.subject
Dzyaloshinskii-Moriya
dc.subject.classification
Física de los Materiales Condensados
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Ciencias Físicas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Long-range spin chirality dimer order in the Heisenberg chain with modulated Dzyaloshinskii-Moriya interactions
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2020-11-27T18:19:44Z
dc.identifier.eissn
2469-9969
dc.journal.volume
99
dc.journal.number
20
dc.journal.pagination
1-12
dc.journal.pais
Estados Unidos
dc.journal.ciudad
New York
dc.description.fil
Fil: Avalishvili, N.. Ilia State University; Georgia. Andronikashvili Institute of Physics; Georgia
dc.description.fil
Fil: Japaridze, G. I.. Ilia State University; Georgia. Andronikashvili Institute of Physics; Georgia
dc.description.fil
Fil: Rossini, Gerardo Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
dc.journal.title
Physical Review B: Condensed Matter and Materials Physics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/ 10.1103/PhysRevB.99.205159
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prb/abstract/10.1103/PhysRevB.99.205159
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1902.09356
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