Frustrations and Ordering in Magnetic Systems of Various Dimensions

Kassan‐Ogly, F. A.; Proshkin, A. I.

doi:10.1134/s1063783418060136

Cited by 24 publications

(6 citation statements)

References 18 publications

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“…Note that in the phase diagram shown in Fig. 1a, the boundary indicated by the solid line (37), with the energy (38]) corresponds to the adjacent regions of the spin configurations C A2 and C A3 with the corresponding energies (17) and (19). In the antiferro-ferro-ferromagnetic variant of the exchange interaction parameters, there are other configuration sequences, for example,…”

Section: Magnetic Phase Diagram Of the Ground State Of The Systemmentioning

confidence: 99%

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Frustrations and orderings in Ising chain with multiple interactions

Zarubin

Kassan‐Ogly

Proshkin

2019

J. Phys.: Conf. Ser.

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We study the frustration properties of the Ising model on a one-dimensional monoatomic equidistant lattice, taking into account the exchange interactions of atomic spins at the sites of the nearest, next-nearest, and third neighbors. The exact analytical expressions for the thermodynamic functions of the system are obtained using the Kramers-Wannier transfer matrix technique. Criteria for the emergence of magnetic frustrations in the presence of competition between the energies of exchange interactions are formulated. The points and intervals of the existence of frustrations, which depend on the values and signs of the exchange interactions, are found. The features of the entropy and heat capacity of this model in the frustration regime and its vicinity are investigated. Non-zero entropy values of the ground state of a frustrated system, as well as a two-peak temperature structure of the heat capacity in the vicinity of the frustration point, are found. at the sites of the nearest, second, and third neighbors (J 1 < 0, J 2 < 0, J 3 < 0), the lines emerging from the point (31) defining the boundaries of the spin configurations C A4 , C A6 and C A2 are given byfor regions C A4 and C A6 with the energy of states at the boundary E = J 2 , and alsofor the boundary between the configurations C A6 and C A2 with the energy E = J 3 . In the ferro-antiferro-ferromagnetic variant of the exchange interaction parameters (J 1 > 0, J 2 < 0, J 3 > 0), the lines emerging from the point (31) defining the boundaries of the spin configurations C A4 , C A3 and C F2 are given by the expressions

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Section: Magnetic Phase Diagram Of the Ground State Of The Systemmentioning

confidence: 99%

“…Thus, the computation of the thermodynamic characteristics of the Ising model allows one to find the essential information about the frustration of the system [16][17][18] and relate it to the experimental observables. * Alexander.Zarubin@imp.uran.ru…”

Section: Introductionmentioning

confidence: 99%

Frustrations and orderings in Ising chain with multiple interactions

Zarubin

Kassan‐Ogly

Proshkin

2019

J. Phys.: Conf. Ser.

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“…К настоящему моменту времени влияние внешних возмущающих факторов, в том числе и магнитного поля в модели Изинга и Гейзенберга достаточно хорошо изучено [8][9][10][11][12][13]. Совсем иначе обстоит дело с моделью Поттса.…”

Section: Introductionunclassified

“…К их числу относятся сложные анизотропные ферромагнетики кубической структуры, спиновые стекла, многокомпонентные сплавы и жидкие смеси. На основе модели Поттса с различным числом состояний спина могут быть описаны структурные ФП во многих материалах [13]. Работ, посвященных изучению влияния внешнего магнитного поля, как возмущающего фактора, на ФП и термодинамические свойства модели Поттса практически нет, и этот вопрос все еще остается открытым и малоизученным.…”

Section: Introductionunclassified

Исследование влияния слабых магнитных полей на термодинамические свойства модели Поттса с числом состояний спина q=4 на гексагональной решетке

Рамазанов¹,

Муртазаев²,

Магомедов³

et al. 2022

Физика Твердого Тела

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The replica exchange algorithm of the Monte Carlo method was used to study phase transitions and thermodynamic properties of the two-dimensional Potts model with the number of spin states q = 4 on a hexagonal lattice in weak magnetic fields. The studies were carried out for the interval of the magnetic field value 0.0 ≤ Н ≤ 3.0 with a step of 1.0. It is found that a first-order phase transition is observed in the considered range of field values.

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“…Иначе обстоит дело с двумерной моделью Поттса. В последние годы исследованию спиновых систем, описываемых моделью Поттса на треугольной решетке было посвящено значительное число работ [4,[9][10][11][12][13], в которых были получены ответы на многие вопросы. В работах [9][10][11][12] представлены результаты, полученные для двумерной модели Поттса с числом состояний спина q = 2 и q = 3 на треугольной решетке и на решетке кагоме.…”

Section: Introductionunclassified

Фазовая диаграмма модели Поттса с числом состояний спина q=4 на гексагональной решетке

Муртазаев¹,

Мазагаева²,

Рамазанов³

et al. 2021

Физика Твердого Тела

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We have carried out Monte Carlo investigations of the phase transitions, thermodynamic properties and ground-state magnetic structures in two-dimensional 4-state Potts model on a hexagonal lattice with the competing exchange interactions. Researches are carried out for the value of interaction of next-nearest neighbor in the range of 0.0≤r≤1.0. Taking into account of antiferromagnetic interaction of next-nearest neighbor is shown to lead to the violation of the magnetic ordering. The phase diagram of dependence of critical temperature on the value of interaction of next-nearest neighbor is plotted. Of the orders of phase transitions has been carried out. It is established that the phase transition of the first order is observed in the ranges of 0.0≤r≤0.2 and 0.7≤r≤1.0. In the range of 0.3≤r≤0.6 frustration are observed.

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Frustrations and Ordering in Magnetic Systems of Various Dimensions

Cited by 24 publications

References 18 publications

Frustrations and orderings in Ising chain with multiple interactions

Frustrations and orderings in Ising chain with multiple interactions

Исследование влияния слабых магнитных полей на термодинамические свойства модели Поттса с числом состояний спина q=4 на гексагональной решетке

Фазовая диаграмма модели Поттса с числом состояний спина q=4 на гексагональной решетке

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