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HomeSolid State PhenomenaSolid State Phenomena Vol. 190Phase Transition in Frustrated Heisenberg...

Phase Transition in Frustrated Heisenberg Antiferromagnet on a Triangular Lattice with Next-Nearest Neighbor Interactions

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Abstract:

We study the critical behavior of three-dimensional antiferromagnet Heisenberg model with nearest-neighbor (J) and next-nearest-neighbor (J₁) interactions by the Monte Carlo method using a high-effective replica exchange algorithm. Here is calculated a full set of main static critical exponents for values R =J₁/J= 0.0; 0.025; 0.05; 0.075; 0.1; 0.115 using the finite-size scaling theory. A phase diagram of dependency of the critical temperature on a relation between nearest-neighbor and next-nearest-neighbor R is plotted.

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Magnetism and Magnetic Materials V

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Periodical:

Solid State Phenomena (Volume 190)

Pages:

417-420

DOI:

https://doi.org/10.4028/www.scientific.net/SSP.190.417

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Online since:

June 2012

Authors:

A.K. Murtazaev, M.K. Ramazanov, M.K. Badiev

Keywords:

Frustration, Heisenberg Model, Monte-Carlo Method (MC-Method), Phase Transition

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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