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Correlation function of one-dimensional s = 1 Ising model

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Abstract

The temperature behavior of the Fourier transform of the spin-correlation function has been studied in terms of the one-dimensional Ising model taking into account the interaction between the nearest neighbors in the cases of different signs of exchange interactions, magnetic field, and spin. It has been shown that, in the antiferromagnetic model, in the frustration field, the correlation function has a broad maximum and does not take on the form of a delta function as the temperature approaches zero, which indicates the absence of ordering in the system.

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References

  1. T. Giamarchi, Quantum Physics in One Dimension (Oxford Univ., Oxford, 2004).

    Google Scholar 

  2. S. Roth and D. Carroll, One-Dimensional Metals: Conjugated Polymers, Organic Crystals, Carbon Nanotubes, (Wiley-VCH, 2006).

    Google Scholar 

  3. R. Baxter, Exactly Solved Models in Statistical Mechanics (Academic, London, 1982).

    Google Scholar 

  4. A. I. Proshkin and F. A. Kassan-Ogly, “Exact solution of 1D Ising model on linear chain with arbitrary spin,” Mater. Sci. Forum 845, 93–96 (2016).

    Article  Google Scholar 

  5. F. A. Kassan-Ogly, A. K. Murtazaev, A. K. Zhuravlev, M. K. Ramazanov, and A. I. Proshkin, “Ising model on a square lattice with second-neighbor and third-neighbor interactions,” J. Magn. Magn. Mater. 384, 247–254 (2015).

    Article  Google Scholar 

  6. F. A. Kassan-Ogly and B. N. Filippov, “Correlation function in a one-dimensional 4-state standard Potts model with next-nearest-neighbor interaction,” Phys. Met. Metallogr. 95, 518–530 (2003).

    Google Scholar 

  7. F. A. Kassan-Ogly and B. N. Filippov, “Correlation function of one-dimensional 3-state Potts-model with next-nearest-neighbor-interaction,” Phase Transitions 77, 261–279 (2004).

    Google Scholar 

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Authors and Affiliations

  1. Mikheev Institute of Metal Physics, Ural Branch, Russian Academy of Science, ul. S. Kovalevskoi 18, Ekaterinburg, 620990, Russia

    A. I. Proshkin, A. V. Zarubin & F. A. Kassan-Ogly

  2. Ural Federal University, ul. Mira 19, Yekaterinburg, 620002, Russia

    T. Yu. Ponomareva & I. A. Menshikh

Authors
  1. A. I. Proshkin
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  2. T. Yu. Ponomareva
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  3. I. A. Menshikh
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  4. A. V. Zarubin
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  5. F. A. Kassan-Ogly
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Correspondence to A. I. Proshkin.

Additional information

Original Russian Text © A.I. Proshkin, T.Yu. Ponomareva, I.A. Menshikh, A.V. Zarubin, F.A. Kassan-Ogly, 2017, published in Fizika Metallov i Metallovedenie, 2017, Vol. 118, No. 10, pp. 975–980.

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Proshkin, A.I., Ponomareva, T.Y., Menshikh, I.A. et al. Correlation function of one-dimensional s = 1 Ising model. Phys. Metals Metallogr. 118, 929–934 (2017). https://doi.org/10.1134/S0031918X17100106

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  • DOI: https://doi.org/10.1134/S0031918X17100106

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