Low Temperature Physics: 46, 688 (2020); https://doi.org/10.1063/10.0001365
Fizika Nizkikh Temperatur: Volume 46, Number 7 (July 2020), p. 818-823    ( to contents , go back )

Influence of frozen non-magnetic impurities on phase transitions in two-dimensional Potts model

A.B. Babaev1,2 and A.K. Murtazaev1

1Amirkhanov Institute of Physics of Daghestan Scientific Center of RAS 94 Yaragskovo Str., Makhachkala 367003, Russia
E-mail: b_albert78@mail.ru

2Отдел математики и информатики Дагестанского федерального исследовательского центра РАН Махачкала, 367000, Россия
pos Анотація:

Received October 31, 2020, published online May 26, 2020

Abstract

An influence of frozen nonmagnetic canonically distributed impurities on phase transitions in two-dimensional Potts model with the number of spin states q = 5 has been studied by Wolf cluster Monte Carlo algorithm. The sys-tems with linear size L = 20–160 and with spin concentrations p = 1.0, 0.9 are considered. Using the fourth-order Binder cumulant method and the histogram data analysis method it is shown that introducing a weak frozen disorder into the system in the form of non-magnetic impurities (p = 0.9) changes the first-order phase transition to the second-order phase transition.

Key words: Potts model, frozen disorder, phase transitions, Binder cumulants.

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