2,154 research outputs found
Minimal field requirement in precessional magnetization switching
We investigate the minimal field strength in precessional magnetization
switching using the Landau-Lifshitz-Gilbert equation in under-critically damped
systems. It is shown that precessional switching occurs when localized
trajectories in phase space become unlocalized upon application of field
pulses. By studying the evolution of the phase space, we obtain the analytical
expression of the critical switching field in the limit of small damping for a
magnetic object with biaxial anisotropy. We also calculate the switching times
for the zero damping situation. We show that applying field along the medium
axis is good for both small field and fast switching times.Comment: 6 pages, 7 figure
Quantum fluctuations of classical skyrmions in quantum Hall Ferromagnets
In this article, we discuss the effect of the zero point quantum fluctuations
to improve the results of the minimal field theory which has been applied to
study %SMG the skyrmions in the quantum Hall systems. Our calculation which is
based on the semiclassical treatment of the quantum fluctuations, shows that
the one-loop quantum correction provides more accurate results for the minimal
field theory.Comment: A few errors are corrected. Accepted for publication in Rapid
Communication, Phys. Rev.
Around Podewski's conjecture
A long-standing conjecture of Podewski states that every minimal field is
algebraically closed. It was proved by Wagner for fields of positive
characteristic, but it remains wide open in the zero-characteristic case.
We reduce Podewski's conjecture to the case of fields having a definable (in
the pure field structure), well partial order with an infinite chain, and we
conjecture that such fields do not exist. Then we support this conjecture by
showing that there is no minimal field interpreting a linear order in a
specific way; in our terminology, there is no almost linear, minimal field.
On the other hand, we give an example of an almost linear, minimal group
of exponent 2, and we show that each almost linear, minimal group
is elementary abelian of prime exponent. On the other hand, we give an example
of an almost linear, minimal group of exponent 2, and we show that
each almost linear, minimal group is torsion.Comment: 16 page
Ising tricriticality and the dilute A model
Some universal amplitude ratios appropriate to the peturbation
of the c=7/10 minimal field theory, the subleading magnetic perturbation of the
tricritical Ising model, are explicitly demonstrated in the dilute A model,
in regime 1.Comment: 8 pages, LaTeX using iop macro
On the Stability of the Classical Vacua in a Minimal SU(5) 5-D Supergravity Model
We consider a five-dimensional supergravity model with SU(5) gauge symmetry
and the minimal field content. Studying the arising scalar potential we find
that the gauging of the symmetry of the five-dimensional supergravity
causes instabilities. Lifting the instabilities the vacua are of Anti-de-Sitter
type and SU(5) is broken along with supersymmetry. Keeping the
ungauged the potential has flat directions along which supersymmetry is
unbroken.Comment: 24 pages, 2 figure
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