Physical and chemical aspects of the study of clusters, nanostructures and nanomaterials. Founded at 2009

PHASE TRANSITIONS IN THE FRUSTRATED ISING MODEL ON A SQUARE LATTICE WITH NEAREST NEIGHBOR INTERACTIONS

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

DOI: 10.26456/pcascnn/2014.6.261

Original article

Abstract: The phase transitions in the two-dimensional Ising model on a square lattice are studied using a replica algorithm, the Monte Carlo method, and histogram analysis with allowance for the next-nearest-neighbor interactions in the range 0,1≤ r ≤1,0 . A phase diagram is constructed for the dependence of the critical temperature on the next-nearest-neighbor interaction.

Keywords: Monte Carlo, Izing model, phase transition, antiferromagnetic frustration

  • A.K. Murtazaev
  • M.K. Ramazanov
  • M.K. Badiev

Reference:

Murtazaev A.K., Ramazanov M.K., Badiev M.K. Fazovye perekhody v frustrirovannoj modeli izinga na kvadratnoj reshetke s vzaimodejstviyami vtorykh blizhajshikh sosedej [PHASE TRANSITIONS IN THE FRUSTRATED ISING MODEL ON A SQUARE LATTICE WITH NEAREST NEIGHBOR INTERACTIONS], Fiziko-khimicheskie aspekty izucheniya klasterov, nanostruktur i nanomaterialov [Physical and chemical aspects of the study of clusters, nanostructures and nanomaterials], 2014, issue 6, pp. 261-266. DOI: 10.26456/pcascnn/2014.6.261. ⎘

Full article (in Russian): download PDF file

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