15,439 research outputs found
A numerical study of planar arrays of correlated spin islands
We present our analysis of a system of interacting islands of XY spins on a
triangular lattice that has been introduced a few years ago by Eley et al. to
account for the phenomenology in experiments on tunable arrays of proximity
coupled long superconductor-normal metal-superconductor junctions. The main
features of the model are the separation of a local and a global interaction
energy scale and the mesoscopic character of the spin islands. Upon lowering
the temperature the model undergoes two crossovers corresponding to an
increasing phase coherence on a single island and to the onset of global
coherence across the array; the latter is a thermodynamical phase transition in
the Ising universality class. The dependence of the second transition on the
island edge-to-edge spacing is related to the proximity-effect of the coupling
constant.Comment: 6 pages, 5 figures, accepted for publication in EPJ
Off-Equilibrium Dynamics at Very Low Temperatures in 3d Spin Glasses
We present a high statistic systematic study of the overlap correlation
function well below the critical temperature in the three dimensional Gaussian
spin glass. The off-equilibrium correlation function has been studied
confirming the power law behavior for the dynamical correlation length. In
particular we have computed the dynamical critical exponent in a wide range
of temperatures, , obtaining a dependence in a
very good agreement with recent experiments. Moreover, we report a study of the
violation of the fluctuation-dissipation theorem for very low temperatures
and . All our numerical results avoid a droplet model
interpretation even when is as low as .Comment: LaTeX, 14 pages and 5 figures. A minor arithmetic error corrected and
references update
Comment on "Evidence for the Droplet/Scaling Picture of Spin Glasses"
In a recent letter Moore et al. claim to exhibit evidence for a
non-mean-field behavior of the Ising spin glass. We show that their claim
is insubstantial, and by analyzing in detail the behavior of the
Migdal-Kadanoff approximation (MKA) as compared to the behavior of the
Edwards-Anderson (EA) spin glass we find further evidence of a mean-field like
behavior of the spin glass.Comment: 1 page comment including one postscript figur
Resonant X-ray diffraction studies on the charge ordering in magnetite
Here we show that the low temperature phase of magnetite is associated with
an effective, although fractional, ordering of the charge. Evidence and a
quantitative evaluation of the atomic charges are achieved by using resonant
x-ray diffraction (RXD) experiments whose results are further analyzed with the
help of ab initio calculations of the scattering factors involved. By
confirming the results obtained from X-ray crystallography we have shown that
RXD is able to probe quantitatively the electronic structure in very complex
oxides, whose importance covers a wide domain of applications.Comment: 4 pages 4 figures, accepted for publication in PR
The out-equilibrium 2D Ising spin glass: almost, but not quite, a free-field theory
We consider the spatial correlation function of the two-dimensional Ising
spin glass under out-equilibrium conditions. We pay special attention to the
scaling limit reached upon approaching zero temperature. The field-theory of a
non-interacting field makes a surprisingly good job at describing the spatial
shape of the correlation function of the out-equilibrium Edwards-Anderson Ising
model in two dimensions.Comment: 20 pages + 5 Figure
Replica Symmetry Breaking in Short-Range Spin Glasses: Theoretical Foundations and Numerical Evidences
We discuss replica symmetry breaking (RSB) in spin glasses. We update work in
this area, from both the analytical and numerical points of view. We give
particular attention to the difficulties stressed by Newman and Stein
concerning the problem of constructing pure states in spin glass systems. We
mainly discuss what happens in finite-dimensional, realistic spin glasses.
Together with a detailed review of some of the most important features, facts,
data, and phenomena, we present some new theoretical ideas and numerical
results. We discuss among others the basic idea of the RSB theory, correlation
functions, interfaces, overlaps, pure states, random field, and the dynamical
approach. We present new numerical results for the behaviors of coupled
replicas and about the numerical verification of sum rules, and we review some
of the available numerical results that we consider of larger importance (for
example, the determination of the phase transition point, the correlation
functions, the window overlaps, and the dynamical behavior of the system).Comment: 48 pages, 21 figures. v2: the published versio
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