Investigation of Multicritical Phenomena in Complex Models of Magnetics by Monte-Carlo Methods

Abstract:

The anisotropic Ising model with competing interactions is investigated in wide temperature range and |J₁/J| parameters by means of Monte-Carlo methods. Static critical exponents of the magnetization, susceptibility, heat capacity, and correlation radius are calculated in the neighborhood of Lifshitz point. According to obtained results a phase diagram is plotted, the coordinates of Lifshitz point are defined, and a character of multicritical behavior of the system is detected.

• Periodical: Solid State Phenomena (Volume 190)
• Pages: 391-395
• DOI: https://doi.org/10.4028/www.scientific.net/SSP.190.391
• Online since: June 2012
• Authors: Akai K. Murtazaev, J.G. Ibaev
• Keywords: ANNNI Model, Competing Interactions, Devil's Staircase, Ising Model, Modulated Structures, Monte-Carlo Method (MC-Method), Phase Transition

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