10,235 research outputs found
Critical exponents of random XX and XY chains: Exact results via random walks
We study random XY and (dimerized) XX spin-1/2 quantum spin chains at their
quantum phase transition driven by the anisotropy and dimerization,
respectively. Using exact expressions for magnetization, correlation functions
and energy gap, obtained by the free fermion technique, the critical and
off-critical (Griffiths-McCoy) singularities are related to persistence
properties of random walks. In this way we determine exactly the decay
exponents for surface and bulk transverse and longitudinal correlations,
correlation length exponent and dynamical exponent.Comment: 4 pages RevTeX, 1 eps-figure include
Nonequilibrium Dynamics and Aging in the Three--Dimensional Ising Spin Glass Model
The low temperature dynamics of the three dimensional Ising spin glass in
zero field with a discrete bond distribution is investigated via MC
simulations. The thermoremanent magnetization is found to decay algebraically
and the temperature dependent exponents agree very well with the experimentally
determined values. The nonequilibrium autocorrelation function shows
a crossover at the waiting (or {\em aging}) time from algebraic {\em
quasi-equilibrium} decay for times to another, faster algebraic
decay for with an exponent similar to one for the remanent
magnetization.Comment: Revtex, 11 pages + 4 figures (included as Latex-files
Domain Growth in Random Magnets
We study the kinetics of domain growth in ferromagnets with random exchange
interactions. We present detailed Monte Carlo results for the nonconserved
random-bond Ising model, which are consistent with power-law growth with a
variable exponent. These results are interpreted in the context of disorder
barriers with a logarithmic dependence on the domain size. Further, we clarify
the implications of logarithmic barriers for both nonconserved and conserved
domain growth.Comment: 7 pages, 4 figure
Griffiths-McCoy singularities in the transverse field Ising model on the randomly diluted square lattice
The site-diluted transverse field Ising model in two dimensions is studied
with Quantum-Monte-Carlo simulations. Its phase diagram is determined in the
transverse field (Gamma) and temperature (T) plane for various (fixed)
concentrations (p). The nature of the quantum Griffiths phase at zero
temperature is investigated by calculating the distribution of the local
zero-frequency susceptibility. It is pointed out that the nature of the
Griffiths phase is different for small and large Gamma.Comment: 21 LaTeX (JPSJ macros included), 12 eps-figures include
Infinite disorder scaling of random quantum magnets in three and higher dimensions
Using a very efficient numerical algorithm of the strong disorder
renormalization group method we have extended the investigations about the
critical behavior of the random transverse-field Ising model in three and four
dimensions, as well as for Erd\H os-R\'enyi random graphs, which represent
infinite dimensional lattices. In all studied cases an infinite disorder
quantum critical point is identified, which ensures that the applied method is
asymptotically correct and the calculated critical exponents tend to the exact
values for large scales. We have found that the critical exponents are
independent of the form of (ferromagnetic) disorder and they vary smoothly with
the dimensionality.Comment: 6 pages, 5 figure
Gamma ray emission and stochastic particle acceleration in galaxy clusters
FERMI (formely GLAST) will shortly provide crucial information on
relativistic particles in galaxy clusters. We discuss non-thermal emission in
the context of general calculations in which relativistic particles (protons
and secondary electrons due to proton-proton collisions) interact with MHD
turbulence generated in the cluster volume during cluster mergers. Diffuse
cluster-scale radio emission (Radio Halos) and hard X-rays are produced during
massive mergers while gamma ray emission, at some level, is expected to be
common in galaxy clusters.Comment: 4 pages, 2 Figure, proc. of the 4th Heidelberg International
Symposium on High Energy Gamma-ray Astronom
Finite Size Scaling Analysis of Exact Ground States for +/-J Spin Glass Models in Two Dimensions
With the help of EXACT ground states obtained by a polynomial algorithm we
compute the domain wall energy at zero-temperature for the bond-random and the
site-random Ising spin glass model in two dimensions. We find that in both
models the stability of the ferromagnetic AND the spin glass order ceases to
exist at a UNIQUE concentration p_c for the ferromagnetic bonds. In the
vicinity of this critical point, the size and concentration dependency of the
first AND second moment of the domain wall energy are, for both models,
described by a COMMON finite size scaling form. Moreover, below this
concentration the stiffness exponent turns out to be slightly negative \theta_S
= -0.056(6) indicating the absence of any intermediate spin glass phase at
non-zero temperature.Comment: 7 pages Latex, 5 postscript-figures include
Soil survey series 17
UNITED STATES DEPARTMENT OF AGRICULTURE
Soil Conservation Service
and
UNITED STATES DEPARTMENT OF THE INTERIOR
Bureau of Land Management
In cooperation with
ALASKA AGRICULTURAL EXPERIMENT STATIO
Extended surface disorder in the quantum Ising chain
We consider random extended surface perturbations in the transverse field
Ising model decaying as a power of the distance from the surface towards a pure
bulk system. The decay may be linked either to the evolution of the couplings
or to their probabilities. Using scaling arguments, we develop a
relevance-irrelevance criterion for such perturbations. We study the
probability distribution of the surface magnetization, its average and typical
critical behaviour for marginal and relevant perturbations. According to
analytical results, the surface magnetization follows a log-normal distribution
and both the average and typical critical behaviours are characterized by
power-law singularities with continuously varying exponents in the marginal
case and essential singularities in the relevant case. For enhanced average
local couplings, the transition becomes first order with a nonvanishing
critical surface magnetization. This occurs above a positive threshold value of
the perturbation amplitude in the marginal case.Comment: 15 pages, 10 figures, Plain TeX. J. Phys. A (accepted
- …