367 research outputs found
Mean-field phase diagrams of compounds
Magnetic-field -- temperature phase diagrams of the axial
next-nearest-neighbor Ising model are calculated within the framework of a
Landau-type expansion of the free energy derived from molecular-field theory.
Good qualitative agreement is found with recently reported results on
body-centered-tetragonal . This work is expected to also be relevant
for related compounds.Comment: J1K 2R1 8 pages (RevTex 3.0), 2 figures available upon request,
Report# CRPS-94-0
The disordered flat phase of a crystal surface - critical and dynamic properties
We analyze a restricted SOS model on a square lattice with nearest and
next-nearest neighbor interactions, using Monte Carlo techniques. In
particular, the critical exponents at the preroughening transition between the
flat and disordered flat (DOF) phases are confirmed to be non-universal.
Moreover, in the DOF phase, the equilibration of various profiles imprinted on
the crystal surface is simulated, applying evaporation kinetics and surface
diffusion. Similarities to and deviations from related findings in the flat and
rough phases are discussed.Comment: 4 pages, 4 figures, submitted to Phys. Rev.
Comment on "Frustrating interactions and broadened magnetic interactions in the edge-sharing CuO_2 chains in La_5 Ca_9 Cu_24 O_41"
Using Monte Carlo techniques, we show that the two--dimensional anisotropic
Heisenberg model reproducing nicely inelastic neutron scattering measurements
on La_5 Ca_9 Cu_24 O_41 (Matsuda et al. [Phys. Rev. B 68, 060406(R) (2003)])
seems to be insufficient to describe correctly measurements on thermodynamic
quantities like the magnetization or the susceptibility. Possible reasons for
the discrepancy are suggested.Comment: 3 pages, 2 EPS figures; part (ii) rewritten, some typos corrected;
final version that has been accepted for publication in Phys. Rev.
Ising model with periodic pinning of mobile defects
A two-dimensional Ising model with short-range interactions and mobile
defects describing the formation and thermal destruction of defect stripes is
studied. In particular, the effect of a local pinning of the defects at the
sites of straight equidistant lines is analysed using Monte Carlo simulations
and the transfer matrix method. The pinning leads to a long-range ordered
magnetic phase at low temperatures. The dependence of the phase transition
temperature, at which the defect stripes are destabilized, on the pinning
strength is determined. The transition seems to be of first order, with and
without pinning.Comment: 7 pages, 7 figure
Interfacial adsorption phenomena of the three-dimensional three-state Potts model
We study the interfacial adsorption phenomena of the three-state
ferromagnetic Potts model on the simple cubic lattice by the Monte Carlo
method. Finite-size scaling analyses of the net-adsorption yield the evidence
of the phase transition being of first-order and .Comment: 14 page
Relaxation of Surface Profiles by Evaporation Dynamics
We present simulations of the relaxation towards equilibrium of one
dimensional steps and sinusoidal grooves imprinted on a surface below its
roughening transition. We use a generalization of the hypercube stacking model
of Forrest and Tang, that allows for temperature dependent
next-nearest-neighbor interactions. For the step geometry the results at T=0
agree well with the t^(1/4) prediction of continuum theory for the spreading of
the step. In the case of periodic profiles we modify the mobility for the tips
of the profile and find the approximate solution of the resulting free boundary
problem to be in reasonable agreement with the T=0 simulations.Comment: 6 pages, Revtex, 5 Postscript figures, to appear in PRB 15, October
199
Monte Carlo Study of Mixed-Spin S=(1/2,1) Ising Ferrimagnets
We investigate Ising ferrimagnets on square and simple-cubic lattices with
exchange couplings between spins of values S=1/2 and S=1 on neighbouring sites
and an additional single-site anisotropy term on the S=1 sites. Based mainly on
a careful and comprehensive Monte Carlo study, we conclude that there is no
tricritical point in the two--dimensional case, in contradiction to mean-field
predictions and recent series results. However, evidence for a tricritical
point is found in the three-dimensional case. In addition, a line of
compensation points is found for the simple-cubic, but not for the square
lattice.Comment: 14 pages, 11 figure
Boundary critical behaviour of two-dimensional random Ising models
Using Monte Carlo techniques and a star-triangle transformation, Ising models
with random, 'strong' and 'weak', nearest-neighbour ferromagnetic couplings on
a square lattice with a (1,1) surface are studied near the phase transition.
Both surface and bulk critical properties are investigated. In particular, the
critical exponents of the surface magnetization, 'beta_1', of the correlation
length, 'nu', and of the critical surface correlations, 'eta_{\parallel}', are
analysed.Comment: 16 pages in ioplppt style, 7 ps figures, submitted to J. Phys.
Determination of the Critical Exponents for the Isotropic-Nematic Phase Transition in a System of Long Rods on Two-dimensional Lattices: Universality of the Transition
Monte Carlo simulations and finite-size scaling analysis have been carried
out to study the critical behavior and universality for the isotropic-nematic
phase transition in a system of long straight rigid rods of length
(-mers) on two-dimensional lattices. The nematic phase, characterized by a
big domain of parallel -mers, is separated from the isotropic state by a
continuous transition occurring at a finite density. The determination of the
critical exponents, along with the behavior of Binder cumulants, indicate that
the transition belongs to the 2D Ising universality class for square lattices
and the three-state Potts universality class for triangular lattices.Comment: 7 pages, 8 figures, uses epl2.cls, to appear in Europhysics Letter
Interfacial adsorption in Potts models on the square lattice
We study the effect of interfacial phenomena in two-dimensional perfect and
random (or disordered) -state Potts models with continuous phase
transitions, using, mainly, Monte Carlo techniques. In particular, for the
total interfacial adsorption, the critical behavior, including corrections to
scaling, are analyzed. The role of randomness is scrutinized. Results are
discussed applying scaling arguments and invoking findings for bulk critical
properties. In all studied cases, i.e., , , and , the spread
of the interfacial adsorption profiles is observed to increase linearly with
the lattice size at the bulk transition point.Comment: 6 pages, 6 eps figures, 1 table, minor corrections, accepted for
publication in Eur. Phys. J.
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