The Magnetic Phase Diagram of EuTe for High External Pressure

Radomska, A.; Balcerzak, T.

doi:10.1002/(sici)1521-3951(200105)225:1<229::aid-pssb229>3.0.co;2-l

Cited by 6 publications

(14 citation statements)

References 15 publications

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“…As far as the values of the interaction parameters occurring in (1) are concerned, the n:n: (J 1 ) and n:n:n: (J 2 ) exchange interactions are known from the literature for the bulk material [3,7]. Moreover, for the thin¯lm [8] the biquadratic interaction parameter A has been found, and in [9] the dipolar contribution has been calculated.…”

Section: Theorymentioning

confidence: 99%

“…The spontaneous mean elastic deformations°1,°n, appearing in the Hamiltonian, are not the independent mechanical quantities but they are related to the magnetic properties. In this paper we will assume that°º (for¸= 1; n) modify the surface n:n: exchange integral J º;¹ 1 , which is a function dependent on the inter-atomic distance [3,7]. In the simplest approximation the modi¯cation of J º;¹ 1 is proposed as follows:…”

Section: Theorymentioning

confidence: 99%

“…Such procedure is a standard method for the bulk material [7,13] and with no essential troubles can be extended here for the thin¯lm. However, owing to a quite complicated form of the Hamiltonian (1), and timeconsuming calculations, the details of this derivation will be omitted.…”

Section: Theorymentioning

confidence: 99%

“…For this purpose, we extend the Heisenberg model, which up to now has been developed for the bulk EuTe [3,4,7,13]. Also, for the present case of thin lm, we extend the molecular¯eld method (MFA), supplemented by the Gibbs energy calculations [7,13].…”

mentioning

confidence: 99%

“…It is known, that the magnetic parameter which is most sensitive to the change of interatomic distance, is the nearest-neighbour exchange interaction J 1 [3,7,14]. Therefore, we will assume that this parameter is changed at the surface of the¯lm.…”

mentioning

confidence: 99%

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Theoretical studies of model thin EuTe films with surface elastic stresses

Radomska¹,

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2003

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Section: Theorymentioning

confidence: 99%

Section: Theorymentioning

confidence: 99%

Section: Theorymentioning

confidence: 99%

mentioning

confidence: 99%

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confidence: 99%

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2003

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The theoretical studies of europium telluride in an external field

Radomska

Balcerzak

2002

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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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The Magnetic Phase Diagram of EuTe for High External Pressure

Cited by 6 publications

References 15 publications

Theoretical studies of model thin EuTe films with surface elastic stresses

Theoretical studies of model thin EuTe films with surface elastic stresses

The theoretical studies of europium telluride in an external field

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

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