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Título: | Using zeros of the canonical partition function map to detect signatures of a Berezinskii–Kosterlitz–Thouless transition. |
Autor(es): | Rocha, Julio Cesar Siqueira Mól, Lucas Alvares da Silva Costa, Bismarck Vaz da |
Palavras-chave: | Phase transitions - general studies Monte Carlo methods Classical spin models |
Data do documento: | 2016 |
Referência: | ROCHA, J. C. S.; MÓL, L. A. da S.; COSTA, B. V. da. Using zeros of the canonical partition function map to detect signatures of a Berezinskii–Kosterlitz–Thouless transition. Computer Physics Communications, v. 209, p. 88-91, 2016. Disponível em: <https://www.sciencedirect.com/science/article/pii/S0010465516302466>. Acesso em: 16 jan. 2018. |
Resumo: | Using the two dimensional XY − (S(O(3))) model as a test case, we show that analysis of the Fisher zeros of the canonical partition function can provide signatures of a transition in the Berezinskii– Kosterlitz–Thouless (BKT) universality class. Studying the internal border of zeros in the complex temperature plane, we found a scenario in complete agreement with theoretical expectations which allow one to uniquely classify a phase transition as in the BKT class of universality. We obtain TBKT in excellent accordance with previous results. A careful analysis of the behavior of the zeros for both regions Re(T ) ≤ TBKT and Re(T ) > TBKT in the thermodynamic limit shows that Im(T ) goes to zero in the former case and is finite in the last one. |
URI: | http://www.repositorio.ufop.br/handle/123456789/9412 |
Link para o artigo: | https://www.sciencedirect.com/science/article/pii/S0010465516302466 |
DOI: | https://doi.org/10.1016/j.cpc.2016.08.016 |
ISSN: | 0010-4655 |
Aparece nas coleções: | DEFIS - Artigos publicados em periódicos |
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ARTIGO_UsingZerosCanonical.pdf Restricted Access | 571,41 kB | Adobe PDF | Visualizar/Abrir |
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