Theoretical studies of model thin EuTe films with surface elastic stresses

Radomska, A.; Balcerzak, T.

doi:10.2478/bf02475555

Cited by 5 publications

(2 citation statements)

References 18 publications

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“…From the set of those two equations of state, (31) and (33), the constant deformation parameter ε C and the equilibrium NN distance, i.e., r 1,0 /r 0 ratio, can simultaneously be determined. Knowledge of these two constants enables further calculations based on the general equations of state (22) and (28), for arbitrary temperature T , external pressure p and magnetic field h.…”

Section: Magnetic Subsystemmentioning

confidence: 99%

Self-consistent model of a solid for the description of lattice and magnetic properties

Balcerzak

Szałowski

Jaščur

2017

Journal of Magnetism and Magnetic Materials

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In the paper a self-consistent theoretical description of the lattice and magnetic properties of a model system with magnetoelastic interaction is presented. The dependence of magnetic exchange integrals on the distance between interacting spins is assumed, which couples the magnetic and the lattice subsystem. The framework is based on summation of the Gibbs free energies for the lattice subsystem and magnetic subsystem. On the basis of minimization principle for the Gibbs energy, a set of equations of state for the system is derived. These equations of state combine the parameters describing the elastic properties (relative volume deformation) and the magnetic properties (magnetization changes).The formalism is extensively illustrated with the numerical calculations performed for a system of ferromagnetically coupled spins S =1/2 localized at the sites of simple cubic lattice. In particular, the significant influence of the magnetic subsystem on the elastic properties is demonstrated. It manifests itself in significant modification of such quantities as the relative volume deformation, thermal expansion coefficient or isothermal compressibility, in particular, in the vicinity of the magnetic phase transition. On the other hand, the influence of lattice subsystem on the magnetic one is also evident. It takes, for example, the form of dependence of the critical (Curie) temperature and magnetization itself on the external pressure, which is thoroughly investigated.V, considered at some temperature T (see for example Ref. [2]). Therefore, the magnetic equation of state involves three variables: h, m and T .In majority of cases both the subsystems of solid state (magnetic and lattice one) are described separately, with no coupling between them. In such situation, the lattice-related properties of the magnetic solid are considered as fully independent on magnetic properties, leading to another equation of state interrelating p, V and T . However, this approach neglects the magnetoelastic interactions which occur between these subsystems. The simplest source of this kind of coupling is the fact that the magnetic exchange integral between magnetic moments depends on their mutual distance, thus is a volume-dependent quantity. The magnetoelastic interactions are basis for such effects as the magnetostriction and piezomagnetism, which are important from the point of view of possible applications. They are also responsible for sensitivity of any magnetic properties (for example, the critical temperature) to external pressure.Among the literature concerning the studies of magneto-elastic interactions, many particular contributions can be mentioned. One of the subjects of intensive studies was compressible Ising model of various dimensionalities [3][4][5][6][7][8][9][10][11][12], including the diluted case [13,14] and the quantum versions [15]. The studies involved also Heisenberg model [16][17][18] or spin glasses [19] or highly interesting frustrated magnetic systems [20][21][22]. Some of the results also incorporate magnet...

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Section: Magnetic Subsystemmentioning

confidence: 99%

Self-consistent model of a solid for the description of lattice and magnetic properties

Balcerzak

Szałowski

Jaščur

2017

Journal of Magnetism and Magnetic Materials

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“…EuTe films with surface elastic stresses have been theoretically investigated using Heisenberg Hamiltonian 1 . Magnetostriction of dc magnetron sputtered FeTaN thin films has been theoretically explained using the theory of De Vries 2 .…”

Section: Introductionmentioning

confidence: 99%

Cobalt Ferrite Films as described by third order perturbed Heisenberg Hamiltonian

Samarasekara

2015

J Sci.Univ.Kelaniya

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Third order perturbed energy of fcc ferromagnetic thin films as described by Heisenberg Hamiltonian

Yapa

2016

Ceylon J. Sci.

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Magnetic energy of fcc structured ferromagnetic thin films was investigated using third order perturbed Heisenberg Hamiltonian with seven magnetic energy parameters by a MATLAB computer program for the first time. Spin exchange interaction, magnetic dipole interaction, second order anisotropy, fourth order anisotropy, applied field, demagnetization factor and stress induced anisotropy were taken into account. Ultra-thin films with three layers (N=3) were considered. Several magnetic easy and hard directions were found in all the 3-D plots. According to some graphs, the angle between easy and hard directions was 90 degrees. Previously, the third order perturbed Heisenberg Hamiltonian with spin exchange interaction, second order magnetic anisotropy and stress induced anisotropy terms only was solved manually for ferromagnetic films with two and three layers by us. Due to the unavailability of the experimental values of these seven magnetic parameters, some reasonable values were used for this simulation.

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Theoretical studies of model thin EuTe films with surface elastic stresses

Cited by 5 publications

References 18 publications

Self-consistent model of a solid for the description of lattice and magnetic properties

Self-consistent model of a solid for the description of lattice and magnetic properties

Cobalt Ferrite Films as described by third order perturbed Heisenberg Hamiltonian

Third order perturbed energy of fcc ferromagnetic thin films as described by Heisenberg Hamiltonian

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