Specific Heat of Square Spin Ice in Finite Point Ising-Like Dipoles Model

Shevchenko, Yuriy; Kapitan, Vitalii; Nefedev, Konstantin

doi:10.4028/www.scientific.net/ssp.245.23

Cited by 4 publications

(3 citation statements)

References 8 publications

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“…and thus a twofold degeneracy of the minimum energy is observed, regardless of the interaction radius. The existence of spins, the interaction energy of which is equal to zero (reversal without energy dissipation) was studied in [43,44]. Figure 2 shows diagrams of the density of states obtained by the complete enumeration method over all possible configurations for the dipolar models.…”

Section: Exact Solution For Entropy and Heat Capacitymentioning

confidence: 99%

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Effect of long- and short-range interactions on the thermodynamics of dipolar spin ice

Shevchenko¹,

Makarov²,

Nefedev³

2017

Physics Letters A

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The thermodynamic properties of dipolar spin ice on square, honeycomb and shakti lattices in the long-range and shortrange dipole interaction models are studied. Exact solutions for the density of states, temperature dependencies of heat capacity, and entropy are obtained for these lattices with a finite number of point dipoles by means of complete enumeration. The magnetic susceptibility and average size of the largest low-energy cluster are calculated for square spin ice by means of Wang-Landau and Metropolis methods. We show that the long-range interaction leads to a blurring of the energy spectrum for all considered lattices. The inclusion of the long-range interaction leads to a significant change in the thermodynamic behaviour. An additional peak of heat capacity appears in the case of the honeycomb lattice. The critical temperature shifts in the direction of low or high temperatures; the direction depends on the lattice geometry. The critical temperature of the phase transition of square spin ice in the long-range model with frustrated ground states is obtained with the Wang-Landau and Metropolis methods independently.

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Section: Exact Solution For Entropy and Heat Capacitymentioning

confidence: 99%

Section: Exact Solution For Entropy and Heat Capacitymentioning

confidence: 99%

Effect of long- and short-range interactions on the thermodynamics of dipolar spin ice

Shevchenko¹,

Makarov²,

Nefedev³

2017

Physics Letters A

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“…It is impossible to realize antiferromagnetic order over the entire triangle-at least two spins are ordered ferromagnetically and at least one connection will be inevitably frustrated. Understanding the physics of frustrations is essential to understanding the properties of many materials such as spin and macrospin glasses [2,3], water ice [4,5], spin ice and artificial spin ice [6][7][8][9][10][11][12][13][14][15][16][17][18], and many others.…”

Section: Introductionmentioning

confidence: 99%

Low-energy states, ground states, and variable frustrations of the finite-size dipolar Cairo lattices

et al. 2021

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To investigate the influence of geometric frustration on the properties of low-energy configurations of systems of ferromagnetic nanoislands located on the edges of the Cairo lattice, the model of interacting Ising-like magnetic dipoles is used. By the method of complete enumeration, the densities of states of the Cairo pentagonal lattices of a finite number of Ising-like point dipoles are calculated. The calculated ground and low-energy states for systems with a small number of dipoles can be used to solve the problem of searching for the ground states in a system with a relatively large number of dipoles. It is shown that the ground-state energy of the Cairo pentagonal lattices exhibits nonmonotonic behavior on one of the lattice parameters. The lattice parameters can be used to control the degree of geometric frustration. For the studied lattices of a finite number of Ising dipoles on the Cairo lattice in the ground-state configurations, a number of closed pentagons is observed, which are different from the obtained maximum closed pentagons. The magnetic order in the ground-state configurations obeys the ice rule and the quasi-ice rules.

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Free energy, entropy, and magnetization of a one-dimensional Ising model of a diluted magnet

Semkin,

Smagin

2023

Theor Math Phys

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Specific Heat of Square Spin Ice in Finite Point Ising-Like Dipoles Model

Cited by 4 publications

References 8 publications

Effect of long- and short-range interactions on the thermodynamics of dipolar spin ice

Effect of long- and short-range interactions on the thermodynamics of dipolar spin ice

Low-energy states, ground states, and variable frustrations of the finite-size dipolar Cairo lattices

Free energy, entropy, and magnetization of a one-dimensional Ising model of a diluted magnet

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