Anisotropic susceptibility of ferromagnetic ultrathin Co films on vicinal Cu

Jensen, P. J.; Knappmann, S.; Wulfhekel, Wulf; Oepen, Hans Peter

doi:10.1103/physrevb.67.184417

Cited by 23 publications

(33 citation statements)

References 33 publications

(59 reference statements)

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“…With the help of a Heisenberg model solved within the Green function theory (GFT) it is possible to perform a quantitative comparison with experiment. Jensen et al [4] measured the influence of the magnetic anisotropy on the parallel susceptibility of ultrathin Co films grown on Cu substrate. By comparison with a theoretical analysis of the parallel susceptibility (201) in the framework of GFT they determined the parameters of the isotropic exchange interaction and magnetic anisotropy.…”

Section: Model and Methodsmentioning

confidence: 99%

Parallel Susceptibility of Thin Ferromagnetic Films within Many-Body Green's Function Theory

Ilkovič

Kecer

2008

Acta Phys. Pol. A

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Parallel susceptibility of the quantum Blume-Capel model for ferromagnetic films is calculated within the Green function theory. The Hamiltonian includes a Heisenberg term with the different surface exchange coupling with respect to bulk, an external magnetic field, a second-order uniaxial single-ion anisotropy, and the exchange anisotropy. The importance of collective excitations is demonstrated by comparing with result calculated within mean field approximation.

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Section: Model and Methodsmentioning

confidence: 99%

Parallel Susceptibility of Thin Ferromagnetic Films within Many-Body Green's Function Theory

Ilkovič

Kecer

2008

Acta Phys. Pol. A

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“…12,22 . In previous work [12][13][14][15][16][17][18][19], the operators A and B were the spin operators:…”

Section: The Formalismmentioning

confidence: 99%

“…17 , general analytical formulas were derived on the basis of RPA and the Anderson-Callen decoupling for the three components of the magnetization for 3D and 2D FM systems for any spin quantum number. The Green's function formalism was also applied to uniaxial out-of-plane and uniaxial in-plane exchange anisotropies 18,19,20 . The papers above [12][13][14][15][16][17] dealt only with a uniaxial out-of-plane single-ion anisotropy.…”

Section: Introductionmentioning

confidence: 99%

Many-body Green’s function theory of ferromagnetic Heisenberg systems with single-ion anisotropies in more than one direction

et al. 2004

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The behaviour of ferromagnetic systems with single-ion anisotropies and magnetic fields in more than one direction is investigated with many-body Green's function theory generalizing earlier work with uniaxial anisotropies only. It turns out to be of advantage to construct Green's functions in terms of the spin operators S x , S y and S z , instead of the commonly used S + , S − and S z operators. The exchange energy terms are decoupled by RPA and the single-ion anisotropy terms by a generalization of the Anderson-Callen decoupling. We stress that in the derivation of the formalism none of the three spatial axes is special, so that one is always able to select a reference direction along which a magnetization component is not zero. Analytical expressions are obtained for all three components of the magnetization and the expectation values (S x ) 2 , (S y ) 2 and (S z ) 2 for any spin quantum number S. The formalism considers both in-plane and out-of-plane anisotropies. Numerical calculations illustrate the behaviour of the magnetization for 3-dimensional and 2-dimensional systems for various parameters. In the 2-dimensional (monolayer) case, the magnetic dipole-dipole coupling is included, and a comparison is made between in-plane and out-of-plane anisotropies.

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“…Jensen et al [1] have measured parallel and tranverse susceptibilities of a bi-layer Co film with an in-plane uniaxial anisotropy, and analysed their results with a manybody Green's function theory assuming a spin value of S = 1/2. We have generalized their work to multilayers and arbitrary spin in Ref.…”

Section: Introductionmentioning

confidence: 99%

“…In keeping with Refs. [1] and [2] we do not include the dipole-dipole interaction, because it is nearly isotropic for an in-plane situation.…”

Section: Introductionmentioning

confidence: 99%

Anisotropic susceptibilities of thin ferromagnetic films within many-body Green function theory: single-ion anisotropy versus exchange anisotropy

Fröbrich¹,

Kuntz²

2004

J. Phys.: Condens. Matter

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Abstract. We compare transverse and parallel static susceptibilities of in-plane uniaxial anisotropic ferromagnetic Heisenberg films calculated in the framework of many-body Green's function theory using single-ion anisotropies with the previously investigated case of exchange anisotropies. On the basis of the calculated observables (easy and hard axes magnetizations and susceptibilities) no significant differences are found, i.e. it is not possible to propose an experiment that might decide which kind of anisotropy is acting in an actual ferromagnetic film.

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Anisotropic susceptibility of ferromagnetic ultrathin Co films on vicinal Cu

Cited by 23 publications

References 33 publications

Parallel Susceptibility of Thin Ferromagnetic Films within Many-Body Green's Function Theory

Parallel Susceptibility of Thin Ferromagnetic Films within Many-Body Green's Function Theory

Many-body Green’s function theory of ferromagnetic Heisenberg systems with single-ion anisotropies in more than one direction

Anisotropic susceptibilities of thin ferromagnetic films within many-body Green function theory: single-ion anisotropy versus exchange anisotropy

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