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

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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