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
2Отдел математики и информатики Дагестанского федерального исследовательского центра РАН Махачкала, 367000, Россия pos Анотація:
Received October 31, 2020, published online May 26, 2020
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.