nach oben

Physics of Metals and Metallography

Erschienen in:

01.06.2024 | ELECTRICAL AND MAGNETIC PROPERTIES

Influence of Magnetic Field on Phase Transitions in the Antiferromagnetic Potts Model

verfasst von: M. K. Ramazanov, A. K. Murtazaev, M. A. Magomedov, M. K. Mazagaeva

Erschienen in: Physics of Metals and Metallography | Ausgabe 6/2024

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config

KI-gestützte Suche

Aus

Abstract

Based on the replica exchange algorithm of the Monte Carlo method, the influence of an external magnetic field on phase transitions and thermodynamic properties of the two-dimensional antiferromagnetic Potts model with the number of spin states q = 4 on a hexagonal lattice was studied. The studies were conducted in the range of external magnetic field values of 0.0 ≤ h ≤ 10.0. The magnetic field is measured in relative units of exchange interaction between nearest neighbors |J₁|. The magnetic structures of the ground state were obtained, and the nature of phase transitions in the considered field range was analyzed. It has been established that in the intervals 0.0 ≤ h ≤ 3.0 and 6.0 ≤ h ≤ 6.5 a first-order phase transition is observed. It is shown that at the external magnetic field values h = 3.5 and 5.5, the system is frustrated, and in the magnetic field intervals 4.0 ≤ h ≤ 5.0 and 7.0 ≤ h ≤ 8.5, the system approaches the frustration regime. It was found that strong magnetic fields (h ≥ 9.0) suppress the phase transition in the system.

Nächster Artikel Electrophysical Properties of Stainless Chromium–Nickel Steel at High Pressures and Temperatures at Stepwise Shock Compression

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

Jetzt informieren

T. Haseda, N. Wada, M. Hata, and K. Amaya, “Spin ordering in a triangular X-Y antiferromagnet: CsFeCl₃ and RbFeCl₃,” Phys. B+C 108, 841–842 (1981). https://doi.org/10.1016/0378-4363(81)90725-7

N. Wada, K. Ubukoshi, and K. Hirakawa, “Incommensurate magnetic phase transitions in the triangular XY-like antiferromagnet RbFeCl₃,” J. Phys. Soc. Jpn 51, 2833–2839 (1981). https://doi.org/10.1143/JPSJ.51.2833CrossRef

H. Shiba, “Quantization of magnetic excitation continuum due to interchain coupling in nearly one-dimensional Ising-like antiferromagnets,” Prog. Theor. Phys. 64, 466–478 (1980). https://doi.org/10.1143/PTP.64.466CrossRef

M. Kuburagi, T. Tonegawa, and J. Kanamori, “Magnetic phase diagram for the triangular Ising lattice with antiferromagnetic nearest-neighbor and ferromagnetic next-nearest-neighbor interactions,” J. Phys. Soc. Jpn. 51, 3857–3867 (1982). https://doi.org/10.1143/jpsj.51.3857CrossRef

M. Itakura and C. Monte, “Monte Carlo renormalization group study of the Heisenberg and the XY antiferromagnet on the stacked triangular lattice and the chiral φ⁴ model,” J. Phys. Soc. Jpn. 72 (1), 74–82 (2003). https://doi.org/10.1143/jpsj.72.74CrossRef

A. K. Murtazaev and M. K. Ramazanov, “Phase transitions in frustrated Ising models (review),” Phys. Solid State, No. 9, 1399 (2023). https://journals.ioffe.ru/articles/57102.

V. S. Dotsenko, “Critical phenomena and quenched disorder,” Phys.-Usp. 38, 457–496 (1995). https://doi.org/10.1070/pu1995v038n05abeh000084CrossRef

S. E. Korshunov, “Phase transitions in two-dimensional systems with continuous degeneracy,” Phys.-Usp. 49, 225 (2006). https://doi.org/10.1070/PU2006v049n03ABEH005838CrossRef

Frustrated Spin Systems, Ed. by H. T. Diep (World Scientific, Singapore, 2004).

10.

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). https://doi.org/10.1140/epjb/e2006-00032-2CrossRef

11.

S. S. Sosin, L. A. Prozorova, and A. I. Smirnov, “New magnetic states in crystals,” Phys.-Usp. 48, 83 (2005). https://doi.org/10.1070/PU2005v048n01ABEH002112CrossRef

12.

K. Murayama and Yu. Ozeki, “Dynamical scaling analysis of symmetry breaking for the antiferromagnetic triangular Heisenberg model in a uniform magnetic field,” Phys. Rev. B 101, 184427 (2020). https://doi.org/10.1103/PhysRevB.101.184427CrossRef

13.

R. S. Gekht, “Magnetic states and phase transitions in frustrated triangular-lattice antiferromagnets,” Sov. Phys. Usp. 32, 871 (1989). https://doi.org/10.1070/PU1989v032n10ABEH002765CrossRef

14.

M. T. Johnson, P. J. H. Bloemen, F. J. A. den Broeder, and J. J. de Vries, “Magnetic anisotropy in metallic multilayers,” Rep. Prog. Phys. 59, 1409–1458 (1996). https://doi.org/10.1088/0034-4885/59/11/002CrossRef

15.

P. Poulopoulos and K. Baberschke, “Magnetism in thin films,” J. Phys.: Condens. Matter 11, 9495–9515 (1999). https://doi.org/10.1088/0953-8984/11/48/310CrossRef

16.

W. J. M. de Jonge, P. J. H. Bloemen, and F. J. A. den Broeder, “Experimental investigations of magnetic anisotropy,” in Ultrathin Magnetic Structures I: An Introduction to the Electronic, Magnetic and Structural Properties (Springer, Berlin, 1994), pp. 65–90.

17.

F. Y. Wu, “The Potts model,” Rev. Mod. Phys. 54, 235–268 (1982). https://doi.org/10.1103/revmodphys.54.235CrossRef

18.

F. Y. Wu, “Potts model of magnetism (invited),” J. Appl. Phys. 55, 2421–2425 (1984). https://doi.org/10.1063/1.333682CrossRef

19.

L. Schwenger, K. Budde, C. Voges, and H. Pfnür, “Effect of random quenched impurities on the critical behavior of a four-state Potts system in two dimensions: An experimental study,” Phys. Rev. Lett. 73, 296–299 (1994). https://doi.org/10.1103/physrevlett.73.296CrossRefPubMed

20.

K. Budde, L. Schwenger, C. Voges, and H. Pfnür, “Effect of oxygen impurities on the critical properties of the (2 × 2)-2H/Ni(111) order-disorder phase transition,” Phys. Rev. B 52, 9275–9282 (1995). https://doi.org/10.1103/physrevb.52.9275CrossRef

21.

A. K. Murtazaev, M. K. Mazagaeva, M. K. Ramazanov, and M. A. Magomedov, “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). https://doi.org/10.1134/s0031918x21050094CrossRef

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). https://doi.org/10.1134/s1063776119080053CrossRef

23.

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). https://doi.org/10.1134/s1063783420030178CrossRef

24.

M. K. Ramazanov, A. K. Murtazaev, M. A. Magomedov, and M. K. Mazagaeva, “Phase transitions and the magnetic properties of the Potts model with four spin states on a hexagonal lattice in low magnetic fields,” JETP Lett. 114, 693–698 (2021). https://doi.org/10.1134/s0021364021230119CrossRef

25.

M. K. Ramazanov, A. K. Murtazaev, M. A. Magomedov, M. K. Mazagaeva, and M. R. Dzhamaludinov, “Investigation of the influence of weak magnetic fields on thermodynamic properties of the Potts model with the number of spin states q = 4 on a hexagonal lattice,” Phys. Solid State, No. 2, 231 (2022). https://doi.org/10.21883/PSS.2022.02.52972.226

26.

M. A. Fadeeva and L. N. Shchur, “Simulation of a four-component potts model on a hexagonal lattice by the Wang–Landau method with controlled accuracy,” J. Exp. Theor. Phys. 135, 869–875 (2022). https://doi.org/10.1134/s1063776122120032CrossRef

27.

A. K. Murtazaev, M. K. Mazagaeva, M. K. Ramazanov, M. A. Magomedov, and A. A. Murtazaeva, “Phase diagram of the Potts model with the number of spin states q = 4 on a hexagonal lattice,” Phys. Solid State 63, 742–747 (2021). https://doi.org/10.1134/s1063783421050139CrossRef

28.

M. K. Ramazanov, A. K. Murtazaev, M. A. Magomedov, and M. K. Mazagaeva, “Phase transitions in a frustrated four-vertex Potts model on a hexagonal lattice in a magnetic field,” Phys. Met. Metallogr. 124, 429–436 (2023). https://doi.org/10.1134/s0031918x2360029xCrossRef

29.

M. K. Ramazanov and A. K. Murtazaev, “Phase transitions and critical properties in the antiferromagnetic Heisenberg model on a layered cubic lattice,” JETP Lett. 106, 86–91 (2017). https://doi.org/10.1134/S0021364017140107CrossRef

30.

A. K. Murtazaev, M. A. Magomedov, and M. K. Ramazanov, “Phase diagram and structure of the ground state of the antiferromagnetic Ising model on a body-centered cubic lattice,” JETP Lett. 107, 259–263 (2018). https://doi.org/10.1134/S0021364018040112CrossRef

31.

M. K. Ramazanov, A. K. Murtazaev, M. A. Magomedov, M. K. Mazagaeva, and A. A. Murtazaeva, “Studying the effect of strong magnetic fields on the phase transitions of the frustrated Potts model with a number of spin states q = 4,” Phys. Met. Metallogr. 123, 290–296 (2022). https://doi.org/10.1134/s0031918x22030085CrossRef

32.

A. Mitsutake, Yu. Sugita, and Yu. Okamoto, “Generalized-ensemble algorithms for molecular simulations of biopolymers,” Biopolymers 60, 96–123 (2001). https://doi.org/10.1002/1097-0282(2001)60:2<96::aid-bip1007>3.0.co;2-fCrossRefPubMed

33.

P. Peczak, A. M. Ferrenberg, and D. P. Landau, “High-accuracy Monte Carlo study of the three-dimensional classical Heisenberg ferromagnet,” Phys. Rev. B 43, 6087–6093 (1991). https://doi.org/10.1103/physrevb.43.6087CrossRef

34.

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). https://doi.org/10.1134/s0031918x19130234CrossRef

35.

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). https://doi.org/10.1134/s0031918x19130106CrossRef

36.

F. A. Kassan-Ogly and A. I. Proshkin, “Frustrations and ordering in magnetic systems of various dimensions,” Phys. Solid State 60, 1090–1097 (2018). https://doi.org/10.1134/s1063783418060136CrossRef

37.

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 (2001). https://doi.org/10.1103/physreve.64.056101CrossRef

38.

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). https://doi.org/10.1103/physrevlett.86.2050CrossRefPubMed

39.

M. K. Ramazanov and A. K. Murtazaev, “Phase diagram of the antiferromagnetic Heisenberg model on a cubic lattice,” JETP Lett. 109, 589–593 (2019). https://doi.org/10.1134/s0021364019090121CrossRef

Titel: Influence of Magnetic Field on Phase Transitions in the Antiferromagnetic Potts Model
verfasst von: M. K. Ramazanov
A. K. Murtazaev
M. A. Magomedov
M. K. Mazagaeva
Publikationsdatum: 01.06.2024
Verlag: Pleiades Publishing
Erschienen in: Physics of Metals and Metallography / Ausgabe 6/2024
Print ISSN: 0031-918X
Elektronische ISSN: 1555-6190
DOI: https://doi.org/10.1134/S0031918X24600246

On the Effect of Heating of Two-Phase Alloyed Brasses on Morphological Peculiarities of Intermetallic Inclusions

STRUCTURE, PHASE TRANSFORMATIONS, AND DIFFUSION

Calculation of the Yield Strength of Polycrystalline Materials with a Hexagonal Close-Packed Lattice at a Given Texture

STRENGTH AND PLASTICITY

Electro-Optic Effect in Hexagonal Compounds RFeO3

ELECTRICAL AND MAGNETIC PROPERTIES

Effect of Thermal-Kinetic Conditions of Austenite Transformation on the Structural-Phase State of Low-Carbon Steel Sheets

STRUCTURE, PHASE TRANSFORMATIONS, AND DIFFUSION

Microstructure of Fracture Surfaces after Radial Compression of Annular Specimens Made of Cladding Austenitic Steel Exposed to Damaging Dose above 100 dpa

STRENGTH AND PLASTICITY

Phase-Structural State of τ-MnAl(Ga) Alloys Prepared at Different Cooling Rates

STRUCTURE, PHASE TRANSFORMATIONS, AND DIFFUSION

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Wirtschaft"

Springer Professional "Technik"

On the Effect of Heating of Two-Phase Alloyed Brasses on Morphological Peculiarities of Intermetallic Inclusions

Calculation of the Yield Strength of Polycrystalline Materials with a Hexagonal Close-Packed Lattice at a Given Texture

Electro-Optic Effect in Hexagonal Compounds RFeO3

Effect of Thermal-Kinetic Conditions of Austenite Transformation on the Structural-Phase State of Low-Carbon Steel Sheets

Microstructure of Fracture Surfaces after Radial Compression of Annular Specimens Made of Cladding Austenitic Steel Exposed to Damaging Dose above 100 dpa

Phase-Structural State of τ-MnAl(Ga) Alloys Prepared at Different Cooling Rates