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Published in: Physics of Metals and Metallography 3/2022

01-03-2022 | ELECTRICAL AND MAGNETIC PROPERTIES

Studying the Effect of Strong Magnetic Fields on the Phase Transitions of the Frustrated Potts Model with a Number of Spin States q = 4

Authors: M. K. Ramazanov, A. K. Murtazaev, M. A. Magomedov, M. K. Mazagaeva, A. A. Murtazaeva

Published in: Physics of Metals and Metallography | Issue 3/2022

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Abstract

The phase transitions and thermodynamic properties of the two-dimensional Potts model with a number of spin states q = 4 are studied on the basis of a replica algorithm by the Monte Carlo method on a hexagonal lattice with consideration for the interaction between the first and second nearest neighbors in an external magnetic field. The studies are performed for magnetic field values within a range 0.0 ≤ h ≤ 7.0 with a step of 1.0. The magnetic structures of the ground states are constructed. It is revealed that a first-order phase transition occurs within the considered range of magnetic field values. It is demonstrated that magnetic field within a range 4.0 ≤ h ≤ 7.0 lifts the ground state degeneracy, and the phase transition becomes smeared.
previous article Effect of Milling on the Magnetic Properties of the Fe7S8 and Fe7Se8 Compounds
next article Influence of the Anisotropy of Magnetic Films on the Detection of Magnetoelastic Fields upon Excitation by an Amplitude-Modulated Magnetic Field
Literature
1.
H. T. Diep, Frustrated Spin Systems (World Scientific, Singapore, 2004), p. 624.
2.
R. J. Baxter, Exactly Solved Models in Statistical Mechanics (Academic, New York, 1982; Mir, Moscow, 1985).
3.
F. Y. Wu, Exactly Solved Models. A Journey in Statistical Mechanics (World Scientific, New Jersey, 2008).
4.
5.
W. Zhang and Y. Deng, “Monte Carlo study of the triangular lattice gas with first- and second-neighbor exclusions,” Phys. Rev. E 78, 031103 (2008). CrossRef
6.
R. Masrour and A. Jabar, “Magnetic properties of mixed spin-5/2 and spin-2 Ising model on a decorated square lattice: a Monte Carlo simulation,” Phys. A 515, 270–278 (2019). CrossRef
7.
R. Masrour and A. Jabar, “Magnetic properties in stacked triangular lattice: Monte Carlo approach,” Phys. A 491, 926–934 (2018). CrossRef
8.
S. E. Korshunov, “Phase transitions in two-dimensional systems with continuous degeneracy,” Phys. Usp. 49, 225–262 (2006). CrossRef
9.
A. Malakis, P. Kalozoumis, and N. Tyraskis, “Monte Carlo studies of the square Ising model with next-nearest-neighbor interactions,” Eur. Phys. J. B 50, 63–67 (2006). CrossRef
10.
S. S. Sosin, L. A. Prozorova, and A. I. Smirnov, “New magnetic states in crystals,” Phys. Usp. 48, 83–90 (2005). CrossRef
11.
M. Kazuaki and O. Yukiyasu, “Dynamical scaling analysis of symmetry breaking for the antiferromagnetic triangular Heisenberg model in a uniform magnetic field,” Phys. Rev. B 101, 184427(7) (2020).
12.
A. K. Murtazaev, M. K. Ramazanov, D. R. Kurbanova, M. A. Magomedov, and K. Sh. Murtazaev, “Phase diagrams and ground-state structures of the antiferromagnetic materials on a body-centered cubic lattice,” Mater. Lett. 236, 669–671 (2019). CrossRef
13.
M. K. Ramazanov and A. K. Murtazaev, “Phase diagram of the antiferromagnetic Heisenberg model on a cubic lattice,” JETP Lett. 109, 589–593 (2019). CrossRef
14.
A. K. Murtazaev, M. K. Ramazanov, and M. K. Badiev, “Phase transitions in the Ising model on a triangular lattice with different values of interlayer exchange interaction,” Low Temp. Phys. 45, 1263–1266 (2019). CrossRef
15.
M. K. Badiev, A. K. Murtazaev, M. K. Ramazanov, and M. A. Magomedov, “Critical properties of the Ising model in a magnetic field,” Low Temp. Phys. 46, 693 (2020). CrossRef
16.
A. K. Murtazaev, D. R. Kurbanova, and M. K. Ramazanov, “Phase transitions and critical properties of the Heisenberg antiferromagnetic model on a body-centered cubic lattice with second nearest neighbor interaction,” J. Exp. Theor. Phys. 129, 903–910 (2019). CrossRef
17.
M. Nauenberg and D. J. Scalapino, “Singularities and scaling functions at the Potts-model multicritical point,” Phys. Rev. Lett. 44, 837–840 (1980). CrossRef
18.
J. L. Cardy, M. Nauenberg, and D. J. Scalapino, “Scaling theory of the Potts-model multicritical point,” Phys. Rev. B 22, 2560–2568 (1980). CrossRef
19.
M. K. Ramazanov, A. K. Murtazaev, and M. A. Magomedov, “Phase diagrams and ground-state structures of the Potts model on a triangular lattice,” Phys. A 521, 543–550 (2019). CrossRef
20.
H. Feldmann, A. J. Guttmann, I. Jensen, R. Shrock, and S.-H. Tsai, “Study of the Potts model on the honeycomb and triangular lattices: Low-temperature series and partition function zeros,” J. Phys. A 31, 2287–2310 (1998). CrossRef
21.
F. A. Kassan-Ogly and A. I. Proshkin, “Frustrations and ordering in magnetic systems of various dimensions,” Phys. Solid State 60, 1090–1097 (2018). CrossRef
22.
A. K. Murtazaev, M. K. Ramazanov, M. K. Mazagaeva, and M. A. Magomedov, “Phase transitions and thermodynamic properties of the Potts model with spin states number q = 4 on a hexagonal lattice,” J. Exp. Theor. Phys. 129, 421–425 (2019). CrossRef
23.
A. K. Murtazaev, D. R. Kurbanova, and M. K. Ramazanov, “Phase transitions and the thermodynamic properties of the Potts model with the number of spin states q = 4 on a triangular lattice,” Phys. Solid State 61, 2172–2176 (2019). CrossRef
24.
M. K. Ramazanov, A. K. Murtazaev, M. A. Magomedov, and M. K. Mazagaeva, “Phase transformations and thermodynamic properties of the potts model with q = 4 on a hexagonal lattice with interactions of next-nearest neighbors,” Phys. Solid State 62, 499–503 (2020). CrossRef
25.
M. G. Townsend, G. Longworth, and E. Roudaut, “Triangular-spin, kagome plane in jarosites,” Phys. Rev. B 33, 4919–4926 (1986). CrossRef
26.
Y. Chiaki and O. Yutaka, “Three-dimensional antiferromagnetic q-state Potts models: application of the Wang–Landau algorithm,” J. Phys. A: Math. Gen. 34, 8781–8794 (2001). CrossRef
27.
A. K. Murtazaev, F. A. Kassan-Ogly, M. K. Ramazanov, and K. Sh. Murtazaev, “Study of phase transitions in the antiferromagnetic Heisenberg model on a body-centered cubic lattice by Monte Carlo simulation,” Phys. Met. Metallogr. 121, 346–351 (2020). CrossRef
28.
A. K. Murtazaev, D. R. Kurbanova, and M. K. Ramaza-nov, “Phase diagram of the antiferromagnetic Heisenberg model on a bcc lattice with competing first and second neighbor interactions,” Phys. A 545, 123548(6) (2020).
29.
A. K. Murtazaev, F. A. Kassan-Ogly, M. L. Ramazanov, and K. Sh. Murtazaev, “Phase diagram of the antiferromagnetic Potts model with number q = 4 of spin states in the hexagonal lattice,” Phys. Met. Metallogr. 122, 428–433 (2021). CrossRef
30.
A. Mitsutake, Y. Sugita, and Y. Okamoto, “Generalized-ensemble algorithms for molecular simulations of biopolymers,” Biopolymers (Pept. Sci.) 60, 96–123 (2001).
31.
F. Wang and D. P. Landau, “Determining the density of states for classical statistical models: a random walk algorithm to produce a flat histogram,” Phys. Rev. E 64, 056101–1–056101–16 (2001).
32.
F. Wang and D. P. Landau, “Efficient, multiple-range random walk algorithm to calculate the density of states,” Phys. Rev. Lett. 86, 2050–2053 (2001). CrossRef
33.
F. A. Kassan-Ogly, B. N. Filippov, A. K. Murtazaev, M. K. Ramazanov, and M. K. Badiev, “Influence of field on frustrations in low-dimensional magnets,” J. Magn. Magn. Mater. 24, 3418–3421 (2012). CrossRef
34.
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). CrossRef
35.
A. I. Proshkin and F. A. Kassan-Ogly, “Frustration and phase transitions in Ising model on decorated square lattice,” Phys. Met. Metallogr. 120, 1366–1372 (2019). CrossRef
36.
F. A. Kassan-Ogly and A. I. Proshkin, “Ising model on planar decorated lattices. Frustrations and their influence on phase transitions,” Phys. Met. Metallogr. 120, 1359–1365 (2019). CrossRef
Metadata
Title
Studying the Effect of Strong Magnetic Fields on the Phase Transitions of the Frustrated Potts Model with a Number of Spin States q = 4
Authors
M. K. Ramazanov
A. K. Murtazaev
M. A. Magomedov
M. K. Mazagaeva
A. A. Murtazaeva
Publication date
01-03-2022
Publisher
Pleiades Publishing
Published in
Physics of Metals and Metallography / Issue 3/2022
Print ISSN: 0031-918X
Electronic ISSN: 1555-6190
DOI
https://doi.org/10.1134/S0031918X22030085

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