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Monte Carlo Calculations of the Density of States for a Two-Dimensional Anisotropic Ising Model with Competing Interactions

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Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

A two-dimensional anisotropic Ising model with competing interactions on a square lattice is investigated using the Monte Carlo approach, based on the Wang–Landau algorithm. The curves of the density-of-states distribution and the order parameter are obtained. It is shown that the density-of-states distribution jumps sharply when |J1/J| = 0.6, due to strong degeneration of the modulated state. Sharp jumps are also observed on the distributions of the order parameter when |J1/J| > 0.2, testifying to the system’s transition from a homogeneous ordered state to a modulated phase.

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REFERENCES

  1. Ovchinnikov, A.A., Ukrainskii, I.I., and Kventsel’, G.F., Sov. Phys. Usp., 1973, vol. 15, p. 575.

    Article  ADS  Google Scholar 

  2. White, S.R., Phys. Rep., 1998, vol. 301, p. 187.

    Article  ADS  Google Scholar 

  3. Shakirov, M.A., Tsibulsky, V.S., Antipov, A.E., et al., Sci. Rep., 2015, vol. 5, p. 8005.

    Article  Google Scholar 

  4. Klein, D.J., Chem. Phys., 1982, vol. 77, p. 3098.

    ADS  MathSciNet  Google Scholar 

  5. Elliott, R.J., Phys. Rev., 1961, vol. 124, p. 346.

    Article  ADS  Google Scholar 

  6. Izyumov, Yu.A. and Syromyatnikov, V.M., Fazovye perekhody i simmetriya kristallov (Phase Transitions and Crystal Symmetry), Moscow: Nauka, 1984.

  7. Widom, B., J. Chem. Phys., 1986, vol. 84, p. 6943.

    Article  ADS  Google Scholar 

  8. Murtazaev, A.K. and Ibaev, J.G., Solid State Commun., 2012, vol. 152, p. 177.

    Article  ADS  Google Scholar 

  9. Wang, F. and Landau, D.P., Phys. Rev. Lett., 2001, vol. 86, p. 2050.

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Amirkhanov Institute of Physics, Dagestan Scientific Center, Russian Academy of Sciences, 367015, Makhachkala, Republic of Dagestan, Russia

    A. K. Murtazaev & Zh. G. Ibaev

  2. Dagestan State University, 367000, Makhachkala, Republic of Dagestan, Russia

    A. K. Murtazaev & Zh. G. Ibaev

Authors
  1. A. K. Murtazaev
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  2. Zh. G. Ibaev
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Correspondence to Zh. G. Ibaev.

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Translated by I. Obrezanova

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Murtazaev, A.K., Ibaev, Z.G. Monte Carlo Calculations of the Density of States for a Two-Dimensional Anisotropic Ising Model with Competing Interactions. Bull. Russ. Acad. Sci. Phys. 83, 847–849 (2019). https://doi.org/10.3103/S1062873819070281

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  • DOI: https://doi.org/10.3103/S1062873819070281

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