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dc.contributor.author
Duchowney, G.
dc.contributor.author
Naon, Carlos Maria
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dc.contributor.author
Iucci, Carlos Aníbal
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dc.date.available
2023-08-24T14:35:00Z
dc.date.issued
2022-03
dc.identifier.citation
Duchowney, G.; Naon, Carlos Maria; Iucci, Carlos Aníbal; Critical behavior of the Ashkin–Teller model with a line defect: Towards reconciliation between numerical and analytical results; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 597; 3-2022; 127287-127297
dc.identifier.issn
0378-4371
dc.identifier.uri
http://hdl.handle.net/11336/209268
dc.description.abstract
We study magnetic critical behavior in the two-dimensional Ashkin–Teller model with an asymmetric defect line. This system is represented by two Ising lattices of spins σ and τ interacting through a four-spin coupling ε. In addition, the couplings between σ-spins are modified along a particular line, whereas couplings between τ-spins are kept unaltered. This problem has been previously considered by means of analytical field-theoretical methods and by numerical techniques, with contradictory results. For ε>0 field-theoretical calculations give a magnetic critical exponent corresponding to σ-spins which depends on the defect strength only (it is independent of ε), while τ-spins magnetization decay with the universal Ising value 1/8. On the contrary, numerical computations based on density matrix renormalization (DMRG) give, for ε>0 similar scaling behaviors for σ and τ spins, which depend on both ε and defect intensity. In this paper we revisit the problem by performing a direct Monte Carlo simulation. Our results are in good agreement with DMRG computations. By reexamining the field-theoretical approach, we show how numerical and analytical results can be reconciled when a more general regularization prescription is adopted.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier Science
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dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
ASHKIN TELLER
dc.subject
BOSONIZATION
dc.subject
DEFECTS
dc.subject
FIELD-THEORY
dc.subject
MONTE CARLO
dc.subject.classification
Física de los Materiales Condensados
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dc.subject.classification
Ciencias Físicas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
Critical behavior of the Ashkin–Teller model with a line defect: Towards reconciliation between numerical and analytical results
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-07-07T18:01:37Z
dc.journal.volume
597
dc.journal.pagination
127287-127297
dc.journal.pais
Países Bajos
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dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Duchowney, G.. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina
dc.description.fil
Fil: Naon, Carlos Maria. 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.description.fil
Fil: Iucci, Carlos Aníbal. 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
Physica A: Statistical Mechanics and its Applications
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1016/j.physa.2022.127287
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