2,474 research outputs found
Many-body Green's function theory for thin ferromagnetic anisotropic Heisenberg films: treatment of the exchange anisotropy
The many-body Green's function theory developed in our previous work for
treating the reorientation of the magnetization of thin ferromagnetic films is
extended to include the exchange anisotropy. This leads to additional momentum
dependencies which require some non-trivial changes in the formalism. The
theory is developed for arbitrary spin values S and for multilayers. The
effects of the exchange anisotropy and the single-ion anisotropy, which was
treated in our earlier work, on the magnetic properties of thin ferromagnetic
films are compared.Comment: 24 pages, 7 figures, accepted for publication in Eur. Phys. J.
Anisotropic susceptibilities of thin ferromagnetic films within many-body Green's function theory
Transverse and parallel static susceptibilities of in-plane uniaxial
anisotropic ferromagnetic films are calculated within many-body Green's
function theory on the basis of an Heisenberg model. The importance of
collective magnetic excitations in particular in the paramagnetic regime are
stressed by comparing with mean field calculations. The paper generalizes the
work of Jensen et al. [1] to the multilayer case and to spins with S>1/2.Comment: 10 pages, 8 figures, submitted to Phys. Rev.
Many-body Green's function theory of Heisenberg films
The treatment of Heisenberg films with many-body Green's function theory
(GFT) is reviewed. The basic equations of GFT are derived in sufficient detail
so that the rest of the paper can be understood without having to consult
further literature. The main part of the paper is concerned with applications
of the formalism to ferromagnetic, antiferromagnetic and coupled
ferromagnetic-antiferromagnetic Heisenberg films based on a generalized
Tyablikov (RPA) decoupling of the exchange interaction and exchange anisotropy
terms and an Anderson-Callen decoupling for a weak single-ion anisotropy. We
not only give a consistent description of our own work but also refer
extensively to related investigations. We discuss in particular the
reorientation of the magnetization as a function of the temperature and film
thickness. If the single-ion anisotropy is strong, it can be treated exactly by
going to higher-order Green's functions. We also discuss the extension of the
theory beyond RPA. Finally the limitations of GFT is pointed out.Comment: 124 pages, 32 figures, accepted by Physics Report
Many-body Green's function theory for thin ferromagnetic films: exact treatment of the single-ion anisotropy
A theory for the magnetization of ferromagnetic films is formulated within
the framework of many-body Green's funtion theory which considers all
components of the magnetization. The model Hamiltonian includes a Heisenberg
term, an external field, a second- and fourth-order uniaxial single-ion
anisotropy, and the magnetic dipole-dipole coupling. The single-ion anisotropy
terms can be treated exactly by introducing higher-order Green's functions and
subsequently taking advantage of relations between products of spin operators
which leads to an automatic closure of the hierarchy of the equations of motion
for the Green's functions with respect to the anisotropy terms. This is an
improvement on the method of our previous work, which treated the corresponding
terms only approximately by decoupling them at the level of the lowest-order
Green's functions. RPA-like approximations are used to decouple the exchange
terms in both the low-order and higher-order Green's functions. As a first
numerical example we apply the theory to a monolayer for spin S=1 in order to
demonstrate the superiority of the present treatment of the anisotropy terms
over the previous approximate decouplings.Comment: 23 pages, 5 figure
Field-induced magnetic reorientation and effective anisotropy of a ferromagnetic monolayer within spin wave theory
The reorientation of the magnetization of a ferromagnetic monolayer is
calculated with the help of many-body Green's function theory. This allows, in
contrast to other spin wave theories, a satisfactory calculation of magnetic
properties over the entire temperature range of interest since interactions
between spin waves are taken into account. A Heisenberg Hamiltonian plus a
second-order uniaxial single-ion anisotropy and an external magnetic field is
treated by the Tyablikov (Random Phase Approximation: RPA) decoupling of the
exchange interaction term and the Anderson-Callen decoupling of the anisotropy
term. The orientation of the magnetization is determined by the spin components
\la S^\alpha\ra (), which are calculated with the help of the
spectral theorem. The knowledge of the orientation angle allows a
non-perturbative determination of the temperature dependence of the effective
second-order anisotropy coefficient. Results for the Green's function theory
are compared with those obtained with mean-field theory (MFT). We find
significant differences between these approaches.Comment: to appear in Europ.J.Phys.B, 13 pages, 9 figure
Single-ion versus exchange anisotropy in calculating anisotropic susceptibilities of thin ferromagnetic Heisenberg films within many-body Green's function theory
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.Comment: 16 pages, 8 figure
Many-body Green's function theory of ferromagnetic Heisenberg systems with single-ion anisotropies in more than one direction
The behaviour of ferromagnetic systems with single-ion anisotropies 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 ,
and 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 case, the magnetic dipole-dipole
coupling is included, and a comparison is made between in-plane and
out-of-plane anisotropies.Comment: 16 pages, 8 figures, missing figures adde
The magnetic reorientation transition in thin ferromagnetic films treated by many-body Green's function theory
This contribution describes the reorientation of the magnetization of thin
ferromagnetic Heisenberg films as function of the temperature and/or an
external field. Working in a rotating frame allows an exact treatment of the
single-ion anisotropy when going to higher-order Green's functions. Terms due
to the exchange interaction are treated by a generalized Tyablikov (RPA)
decoupling.Comment: 9 pages, 2 figure
Fragmentation Phase Transition in Atomic Clusters II - Coulomb Explosion of Metal Clusters -
We discuss the role and the treatment of polarization effects in many-body
systems of charged conducting clusters and apply this to the statistical
fragmentation of Na-clusters. We see a first order microcanonical phase
transition in the fragmentation of for Z=0 to 8. We can
distinguish two fragmentation phases, namely evaporation of large particles
from a large residue and a complete decay into small fragments only. Charging
the cluster shifts the transition to lower excitation energies and forces the
transition to disappear for charges higher than Z=8. At very high charges the
fragmentation phase transition no longer occurs because the cluster
Coulomb-explodes into small fragments even at excitation energy .Comment: 19 text pages +18 *.eps figures, my e-mail adress: [email protected]
submitted to Z. Phys.
The spectral theorem of many-body Green's function theory when there are zero eigenvalues of the matrix governing the equations of motion
In using the spectral theorem of many-body Green's function theory in order
to relate correlations to commutator Green's functions, it is necessary in the
standard procedure to consider the anti-commutator Green's functions as well
whenever the matrix governing the equations of motion for the commutator
Green's functions has zero eigenvalues. We show that a singular-value
decomposition of this matrix allows one to reformulate the problem in terms of
a smaller set of Green's functions with an associated matrix having no zero
eigenvalues, thus eliminating the need for the anti-commutator Green's
functions. The procedure is quite general and easy to apply. It is illustrated
for the field-induced reorientation of the magnetization of a ferromagnetic
Heisenberg monolayer and it is expected to work for more complicated cases as
well.Comment: 4 pages, 1 figure, accepted for publication in Physical Review B (16.
May 2003
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