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STUDY OF PHASE TRANSITIONS AND THERMODYNAMIC PROPERTIES OF THE POTTS MODEL WITH FRUSTRATIONS ON THE KAGOME LATTICE

M.K. Ramazanov 1 *
M.K. Ramazanov
* sheikh77@mail.ru
, 
A.K. Murtazaev 1
A.K. Murtazaev
, 
M. A. Magomedov 1
M. A. Magomedov
, 
T. R. Rizvanova 1
T. R. Rizvanova
1 Dagestan Federal Research Center RAS
10.31857/S00444510240310e8
Published 2023-10-18
Article , Volume 165, Issue 3, 407-412
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Ramazanov M. et al. STUDY OF PHASE TRANSITIONS AND THERMODYNAMIC PROPERTIES OF THE POTTS MODEL WITH FRUSTRATIONS ON THE KAGOME LATTICE // Journal of Experimental and Theoretical Physics. 2023. Vol. 165. No. 3. pp. 407-412.
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Ramazanov M., Murtazaev A., Magomedov M. A., Rizvanova T. R. STUDY OF PHASE TRANSITIONS AND THERMODYNAMIC PROPERTIES OF THE POTTS MODEL WITH FRUSTRATIONS ON THE KAGOME LATTICE // Journal of Experimental and Theoretical Physics. 2023. Vol. 165. No. 3. pp. 407-412.
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TY - JOUR
DO - 10.31857/S00444510240310e8
UR - https://jetp.colab.ws/publications/10.31857/S00444510240310e8
TI - STUDY OF PHASE TRANSITIONS AND THERMODYNAMIC PROPERTIES OF THE POTTS MODEL WITH FRUSTRATIONS ON THE KAGOME LATTICE
T2 - Journal of Experimental and Theoretical Physics
AU - Ramazanov, M.K.
AU - Murtazaev, A.K.
AU - Magomedov, M. A.
AU - Rizvanova, T. R.
PY - 2023
DA - 2023/10/18
PB - Nauka Publishers
SP - 407-412
IS - 3
VL - 165
ER -
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@article{2023_Ramazanov,
author = {M.K. Ramazanov and A.K. Murtazaev and M. A. Magomedov and T. R. Rizvanova},
title = {STUDY OF PHASE TRANSITIONS AND THERMODYNAMIC PROPERTIES OF THE POTTS MODEL WITH FRUSTRATIONS ON THE KAGOME LATTICE},
journal = {Journal of Experimental and Theoretical Physics},
year = {2023},
volume = {165},
publisher = {Nauka Publishers},
month = {Oct},
url = {https://jetp.colab.ws/publications/10.31857/S00444510240310e8},
number = {3},
pages = {407--412},
doi = {10.31857/S00444510240310e8}
}
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Ramazanov, M.K., et al. “STUDY OF PHASE TRANSITIONS AND THERMODYNAMIC PROPERTIES OF THE POTTS MODEL WITH FRUSTRATIONS ON THE KAGOME LATTICE.” Journal of Experimental and Theoretical Physics, vol. 165, no. 3, Oct. 2023, pp. 407-412. https://jetp.colab.ws/publications/10.31857/S00444510240310e8.
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Keywords

antiferromagnetic
frustrations
Monte Carlo method
phase transitions
Potts model

Abstract

The Monte Carlo method was used to study phase transitions and thermodynamic properties of the two-dimensional antiferromagnetic Potts model with the number of spin states q = 4 on the kagome lattice with interactions of the first J1 and second J2 neighbors. The studies were carried out for the magnitude of the interaction of second neighbors in the interval 0 ≤ r=|J2/J1| ≤ 1. It was found that at r = 0 the system exhibits disorder and strong degeneracy of the ground state. It is shown that taking into account ferromagnetic interactions of second neighbors will remove the degeneracy of the ground state. An analysis of the nature of phase transitions in the considered interval r was carried out. It is shown that in the range 0.2 ≤ r ≤ 1 a second-order phase transition is observed.

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