3,488 research outputs found
Parisi States in a Heisenberg Spin-Glass Model in Three Dimensions
We have studied low-lying metastable states of the Heisenberg model
in two () and three () dimensions having developed a hybrid genetic
algorithm. We have found a strong evidence of the occurrence of the Parisi
states in but not in . That is, in lattices, there exist
metastable states with a finite excitation energy of for
, and energy barriers between the ground state and
those metastable states are with in
but with in . We have also found droplet-like
excitations, suggesting a mixed scenario of the replica-symmetry-breaking
picture and the droplet picture recently speculated in the Ising SG model.Comment: 4 pages, 6 figure
Kosterlitz-Thouless Phase Transition of the ANNNI model in Two Dimensions
The spin structure of an axial next-nearest-neighbor Ising (ANNNI) model in
two dimensions (2D) is a renewed problem because different Monte Carlo (MC)
simulation methods predicted different spin orderings. The usual equilibrium
simulation predicts the occurrence of a floating incommensurate (IC)
Kosterlitz-Thouless (KT) type phase, which never emerges in non-equilibrium
relaxation (NER) simulations. In this paper, we first examine previously
published results of both methods, and then investigate a higher transition
temperature, , between the IC and paramagnetic phases. In the usual
equilibrium simulation, we calculate the layer magnetization on larger lattices
(up to sites) and estimate with
frustration ratio . We examine the nature of
the phase transition in terms of the Binder ratio of spin overlap
functions and the correlation-length ratio . In the NER simulation, we
observe the spin dynamics in equilibrium states by means of an autocorrelation
function, and also observe the layer magnetization relaxations from the ground
and disordered states. These quantities exhibit an algebraic decay at . We conclude that the two-dimensional ANNNI model actually
admits an IC phase transition of the KT type.Comment: 20 pages, 16 figure
Ground-State Properties of a Heisenberg Spin Glass Model with a Hybrid Genetic Algorithm
We developed a genetic algorithm (GA) in the Heisenberg model that combines a
triadic crossover and a parameter-free genetic algorithm. Using the algorithm,
we examined the ground-state stiffness of the Heisenberg model in three
dimensions up to a moderate size range. Results showed the stiffness constant
of in the periodic-antiperiodic boundary condition method and that
of in the open-boundary-twist method. We considered the
origin of the difference in between the two methods and suggested that
both results show the same thing: the ground state of the open system is stable
against a weak perturbation.Comment: 11 pages, 5 figure
Apparent Clustering of Intermediate-redshift Galaxies as a Probe of Dark Energy
We show the apparent redshift-space clustering of galaxies in redshift range
of 0.2--0.4 provides surprisingly useful constraints on dark energy component
in the universe, because of the right balance between the density of objects
and the survey depth. We apply Fisher matrix analysis to the the Luminous Red
Galaxies (LRGs) in the Sloan Digital Sky Survey (SDSS), as a concrete example.
Possible degeneracies in the evolution of the equation of state (EOS) and the
other cosmological parameters are clarified.Comment: 5 pages, 3 figures, Phys.Rev.Lett., replaced with the accepted
versio
Dynamical AC study of the critical behavior in Heisenberg spin glasses
We present some numerical results for the Heisenberg spin-glass model with
Gaussian interactions, in a three dimensional cubic lattice. We measure the AC
susceptibility as a function of temperature and determine an apparent finite
temperature transition which is compatible with the chiral-glass temperature
transition for this model. The relaxation time diverges like a power law
with and . Although our
data indicates that the spin-glass transition occurs at the same temperature as
the chiral glass transition, we cannot exclude the possibility of a chiral-spin
coupling scenario for the lowest frequencies investigated.Comment: 7 pages, 4 figure
Phase diagram of a dilute ferromagnet model with antiferromagnetic next-nearest-neighbor interactions
We have studied the spin ordering of a dilute classical Heisenberg model with
spin concentration , and with ferromagnetic nearest-neighbor interaction
and antiferromagnetic next-nearest-neighbor interaction . Magnetic
phases at absolute zero temperature are determined examining the
stiffness of the ground state, and those at finite temperatures are
determined calculating the Binder parameter and the spin correlation
length . Three ordered phases appear in the phase diagram: (i) the
ferromagnetic (FM) phase; (ii) the spin glass (SG) phase; and (iii) the mixed
(M) phase of the FM and the SG. Near below the ferromagnetic threshold , a reentrant SG transition occurs. That is, as the temperature is decreased
from a high temperature, the FM phase, the M phase and the SG phase appear
successively. The magnetization which grows in the FM phase disappears in the
SG phase. The SG phase is suggested to be characterized by ferromagnetic
clusters. We conclude, hence, that this model could reproduce experimental
phase diagrams of dilute ferromagnets FeAu and EuSrS.Comment: 9 pages, 23 figure
Spin-Glass and Chiral-Glass Transitions in a Heisenberg Spin-Glass Model in Three Dimensions
The three-dimensional Heisenberg spin-glass model is investigated by
the non-equilibrium relaxation method from the paramagnetic state. Finite-size
effects in the non-equilibrium relaxation are analyzed, and the relaxation
functions of the spin-glass susceptibility and the chiral-glass susceptibility
in the infinite-size system are obtained. The finite-time scaling analysis
gives the spin-glass transition at and the
chiral-glass transition at . The results
suggest that both transitions occur simultaneously. The critical exponent of
the spin-glass susceptibility is estimated as ,
which makes an agreement with the experiments of the insulating and the
canonical spin-glass materials.Comment: 4 pages, 2 figure
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