122 research outputs found
Finite size corrections to the Parisi overlap function in the GREM
We investigate the effects of finite size corrections on the overlap
probabilities in the Generalized Random Energy Model (GREM) in two situations
where replica symmetry is broken in the thermodynamic limit. Our calculations
do not use replicas, but shed some light on what the replica method should give
for finite size corrections. In the gradual freezing situation, which is known
to exhibit full replica symmetry breaking, we show that the finite size
corrections lead to a modification of the simple relations between the sample
averages of the overlaps between configurations predicted by
replica theory. This can be interpreted as fluctuations in the replica block
size with a \emph{negative} variance. The mechanism is similar to the one we
found recently in the random energy model [1]. We also consider a simultaneous
freezing situation, which is known to exhibit one step replica symmetry
breaking. We show that finite size corrections lead to full replica symmetry
breaking and give a more complete derivation of the results presented in [2]
for the directed polymer on a tree.Comment: 21 pages, 2 figure
Theory of spin glasses and related systems
Imperial Users onl
Fermionic van Hemmen Spin Glass Model with a Transverse Field
In the present work it is studied the fermionic van Hemmen model for the spin
glass (SG) with a transverse magnetic field . In this model, the spin
operators are written as a bilinear combination of fermionic operators, which
allows the analysis of the interplay between charge and spin fluctuations in
the presence of a quantum spin flipping mechanism given by . The
problem is expressed in the fermionic path integral formalism. As results,
magnetic phase diagrams of temperature versus the ferromagnetic interaction are
obtained for several values of chemical potential and . The
field suppresses the magnetic orders. The increase of alters the
average occupation per site that affects the magnetic phases. For instance, the
SG and the mixed SG+ferromagnetic phases are also suppressed by . In
addition, can change the nature of the phase boundaries introducing a
first order transition.Comment: 9 pages, 4 figures, accepted for publication in Phys. Lett.
Shear-thickening and entropy-driven reentrance
We discuss a generic mechanism for shear-thickening analogous to
entropy-driven phase reentrance. We implement it in the context of
non-relaxational mean-field glassy systems: although very simple, the
microscopic models we study present a dynamical phase diagram with second and
first order stirring-induced jamming transitions leading to intermittency,
metastability and phase coexistence as seen in some experiments. The jammed
state is fragile with respect to change in the stirring direction. Our approach
provides a direct derivation of a Mode-Coupling theory of shear-thickening.Comment: 4 pages, 4 figures, minor changes, references adde
Quantum phase transition in spin glasses with multi-spin interactions
We examine the phase diagram of the -interaction spin glass model in a
transverse field. We consider a spherical version of the model and compare with
results obtained in the Ising case. The analysis of the spherical model, with
and without quantization, reveals a phase diagram very similar to that obtained
in the Ising case. In particular, using the static approximation, reentrance is
observed at low temperatures in both the quantum spherical and Ising models.
This is an artifact of the approximation and disappears when the imaginary time
dependence of the order parameter is taken into account. The resulting phase
diagram is checked by accurate numerical investigation of the phase boundaries.Comment: 20 Pages including 10 figures, Revte
The neutral silicon-vacancy center in diamond: spin polarization and lifetimes
We demonstrate optical spin polarization of the neutrally-charged
silicon-vacancy defect in diamond (), an defect which
emits with a zero-phonon line at 946 nm. The spin polarization is found to be
most efficient under resonant excitation, but non-zero at below-resonant
energies. We measure an ensemble spin coherence time
at low-temperature, and a spin relaxation limit of . Optical
spin state initialization around 946 nm allows independent initialization of
and within the same optically-addressed
volume, and emits within the telecoms downconversion band to
1550 nm: when combined with its high Debye-Waller factor, our initial results
suggest that is a promising candidate for a long-range
quantum communication technology
Spin Models on Thin Graphs
We discuss the utility of analytical and numerical investigation of spin
models, in particular spin glasses, on ordinary ``thin'' random graphs (in
effect Feynman diagrams) using methods borrowed from the ``fat'' graphs of two
dimensional gravity. We highlight the similarity with Bethe lattice
calculations and the advantages of the thin graph approach both analytically
and numerically for investigating mean field results.Comment: Contribution to Parallel Session at Lattice95, 4 pages. Dodgy
compressed ps file replaced with uuencoded LaTex original + ps figure
Spin-Glass Model for Inverse Freezing
We analyze the Blume-Emery-Griffiths model with disordered magnetic
interaction displaying the inverse freezing phenomenon. The behaviour of this
spin-1 model in crystal field is studied throughout the phase diagram and the
transition and spinodal lines for the model are computed using the Full Replica
Symmetry Breaking Ansatz that always yelds a thermodynamically stable phase. We
compare the results both with the quenched disordered model with Ising spins on
lattice gas - where no reentrance takes place - and with the model with
generalized spin variables recently introduced by Schupper and Shnerb [Phys.
Rev. Lett. 93, 037202 (2004)]. The simplest version of all these models, known
as Ghatak-Sherrington model, turns out to hold all the general features
characterizing an inverse transition to an amorphous phase, including the right
thermodynamic behavior.Comment: 6 pages, 4 figures, to appear in the Proceeding for the X
International Workshop on Disordered Systems (2006), Molveno, Ital
Metastable states in the Blume-Emery-Griffiths spin glass model
We study the Blume-Emery-Griffiths spin glass model in presence of an
attractive coupling between real replicas, and evaluate the effective potential
as a function of the density overlap. We find that there is a region, above the
first order transition of the model, where metastable states with a large
density overlap exist. The line where these metastable states appear should
correspond to a purely dynamical transition, with a breaking of ergodicity.
Differently from what happens in p-spin glasses, in this model the dynamical
transition would not be the precursor of a 1-step RSB transition, but
(probably) of a full RSB transition.Comment: RevTeX, 4 pages, 2 fig
First-order transitions and triple point on a random p-spin interaction model
The effects of competing quadrupolar- and spin-glass orderings are
investigated on a spin-1 Ising model with infinite-range random -spin
interactions. The model is studied through the replica approach and a phase
diagram is obtained in the limit . The phase diagram, obtained
within replica-symmetry breaking, exhibits a very unusual feature in magnetic
models: three first-order transition lines meeting at a commom triple point,
where all phases of the model coexist.Comment: 9 pages, 2 ps figures include
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