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Title: A new algorithm to study the critical behavior of topological phase transitions.
Authors: Costa, Bismarck Vaz da
Mól, Lucas Alvares da Silva
Rocha, Julio Cesar Siqueira
Keywords: Partition function zeros
Topological phase transition
XY model
Monte Carlo simulations
Replica-exchange Wang-Landau
Issue Date: 2019
Citation: COSTA, B. V. da.; MÓI, L. A. da S.; ROCHA, J. C. S. A new algorithm to study the critical behavior of topological phase transitions. Brazilian Journal of Physics, v. 49, n. 2, p. 271-276, 2019. Disponível em: <>. Acesso em: 19 mar. 2019.
Abstract: Topological phase transitions such as the Berezinskii-Kosterlitz-Thouless (BKT) transition are difficult to characterize due to the difficulty in defining an appropriate order parameter or to unravel its critical properties. In this paper, we discuss the application of a newly introduced numerical algorithm that was inspired by the Fisher zeros of the partition function and is based on the partial knowledge of the zeros of the energy probability distribution (EPD zeros). This iterative method has proven to be quite general, furnishing the transition temperature with great precision and a relatively low computational effort. Since it does not need the a priori knowledge of any order parameter it provides an unbiased estimative of the transition temperature being convenient to the study of this kind of phase transition. Therefore, we applied the EPD zeros approach to the 2D XY model, which is well known for showing a BKT transition, in order to demonstrate its effectivity in the study of the BKT transition. Our results are consistent with the real and imaginary parts of the pseudo-transition temperature, T (L), having a different asymptotic behavior, which suggests a way to characterize a BKT like transition.
ISSN: 1678-4448
Appears in Collections:DEFIS - Artigos publicados em periódicos

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