Critical properties of 2d disordered 3-state antiferromagnetic potts model ON TRIANGULAR LATTICE

By introducing a small amount of non-magnetic impurities into an antiferromagnetic (AF) two-dimensional (2 D ) Potts model on a triangular lattice it is that the impurities in spin systems described by this model result in the change of a first order to a second-order phase transition. The systems w...

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Bibliographic Details
Main Authors: Murtazaev, A.K., Babaev, A.B., Ataeva, G.Y.
Format: Conference Proceeding
Language:English
Subjects:
Algorithms
Antiferromagnetism
Computer simulation
Impurities
Magnetic permeability
Monte Carlo simulation
Order parameters
Phase transitions
Two dimensional models
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Summary:By introducing a small amount of non-magnetic impurities into an antiferromagnetic (AF) two-dimensional (2 D ) Potts model on a triangular lattice it is that the impurities in spin systems described by this model result in the change of a first order to a second-order phase transition. The systems with linear sizes L × L = N , L = 9-144 are considered. Investigations are performed using the standard Metropolis algorithm along with Monte-Carlo single-cluster Wolff algorithm. On the basis of the theory of finite-size scaling, critical exponents (CE) are calculated: the heat capacity α , the susceptibility γ , the order parameter β , and the CE of the correlation radius ν .
ISSN:2100-014X
2101-6275
2100-014X
DOI:10.1051/epjconf/201818511001