1,153 research outputs found
Novel Phases of Planar Fermionic Systems
We discuss a {\em family} of planar (two-dimensional) systems with the
following phase strucure: a Fermi liquid, which goes by a second order
transition (with non classical exponent even in mean-field) to an intermediate,
inhomogeneous state (with nonstandard ordering momentum) , which in turn goes
by a first order transition to a state with canonical order parameter. We
analyze two examples: (i) a superconductor in a parallel magnetic field (which
was discussed independently by Bulaevskii)for which the inhomogeneous state is
obtained for where is the critical temperature (in Kelvin) of the superconductor
without a field and is measured in Tesla, and (ii) spinless (or, as is
explained, spin polarized) fermions near half-filling where a similar, sizeable
window (which grows in size with anisotropy) exists for the intermediate CDW
phase at an ordering momentum different from . We discuss the
experimental conditions for realizing and observing these phases and the
Renormalization Group approach to the transitions.Comment: ([email protected],[email protected]) 29 p Latex 4 figs
uuencoded separatel
Damage Spreading During Domain Growth
We study damage spreading in models of two-dimensional systems undergoing
first order phase transitions. We consider several models from the same
non-conserved order parameter universality class, and find unexpected
differences between them. An exact solution of the Ohta-Jasnow-Kawasaki model
yields the damage growth law , where in
dimensions. In contrast, time-dependent Ginzburg-Landau simulations and Ising
simulations in using heat-bath dynamics show power-law growth, but with
an exponent of approximately , independent of the system sizes studied.
In marked contrast, Metropolis dynamics shows damage growing via , although the damage difference grows as . PACS: 64.60.-i, 05.50.+qComment: 4 pags of revtex3 + 3 postscript files appended as a compressed and
uuencoded file. UIB940320
Frozen Disorder in a Driven System
We investigate the effects of quenched disorder on the universal properties
of a randomly driven Ising lattice gas. The Hamiltonian fixed point of the pure
system becomes unstable in the presence of a quenched local bias, giving rise
to a new fixed point which controls a novel universality class. We determine
the associated scaling forms of correlation and response functions, quoting
critical exponents to two-loop order in an expansion around the upper critical
dimension d.Comment: 5 pages RevTex. Uses multicol.sty. Accepted for publication in PR
Extensive Chaos in the Nikolaevskii Model
We carry out a systematic study of a novel type of chaos at onset ("soft-mode
turbulence") based on numerical integration of the simplest one dimensional
model. The chaos is characterized by a smooth interplay of different spatial
scales, with defect generation being unimportant. The Lyapunov exponents are
calculated for several system sizes for fixed values of the control parameter
. The Lyapunov dimension and the Kolmogorov-Sinai entropy are
calculated and both shown to exhibit extensive and microextensive scaling. The
distribution functional is shown to satisfy Gaussian statistics at small
wavenumbers and small frequency.Comment: 4 pages (including 5 figures) LaTeX file. Submitted to Phys. Rev.
Let
Quantum many-body dynamics in a Lagrangian frame: II. Geometric formulation of time-dependent density functional theory
We formulate equations of time-dependent density functional theory (TDDFT) in
the co-moving Lagrangian reference frame. The main advantage of the Lagrangian
description of many-body dynamics is that in the co-moving frame the current
density vanishes, while the density of particles becomes independent of time.
Therefore a co-moving observer will see the picture which is very similar to
that seen in the equilibrium system from the laboratory frame. It is shown that
the most natural set of basic variables in TDDFT includes the Lagrangian
coordinate, , a symmetric deformation tensor , and a
skew-symmetric vorticity tensor, . These three quantities,
respectively, describe the translation, deformation, and the rotation of an
infinitesimal fluid element. Reformulation of TDDFT in terms of new basic
variables resolves the problem of nonlocality and thus allows to regularly
derive a local nonadiabatic approximation for exchange correlation (xc)
potential. Stationarity of the density in the co-moving frame makes the
derivation to a large extent similar to the derivation of the standard static
local density approximation. We present a few explicit examples of nonlinear
nonadiabatic xc functionals in a form convenient for practical applications.Comment: RevTeX4, 18 pages, Corrected final version. The first part of this
work is cond-mat/040835
Exchange coupling in Eu monochalcogenides from first principles
Using a density functional method with explicit account for strong Coulomb
repulsion within the 4f shell, we calculate effective exchange parameters and
the corresponding ordering temperatures of the (ferro)magnetic insulating Eu
monochalcogenides (EuX; X=O,S,Se,Te) at ambient and elevated pressure
conditions. Our results provide quantitative account of the many-fold increase
of the Curie temperatures with applied pressure and reproduce well the
enhancement of the tendency toward ferromagnetic ordering across the series
from telluride to oxide, including the crossover from antiferromagnetic to
ferromagnetic ordering under pressure in EuTe and EuSe. The first and second
neighbor effective exchange are shown to follow different functional
dependencies. Finally, model calculations indicate a significant contribution
of virtual processes involving the unoccupied f states to the effective
exchange.Comment: 4 pages, 6 figure
High pressure phases in highly piezoelectric Pb(Zr0.52Ti0.48)O3
Two novel room-temperature phase transitions are observed, via synchrotron
x-ray diffraction and Raman spectroscopy, in the Pb(Zr0.52Ti0.48)O3 alloy under
hydrostatic pressures up to 16 GPa. A monoclinic (M)-to-rhombohedral (R1) phase
transition takes place around 2-3 GPa, while this R1 phase transforms into
another rhombohedral phase, R2, at about 6-7 GPa. First-principles calculations
assign the R3m and R3c symmetry to R1 and R2, respectively, and reveal that R2
acts as a pressure-induced structural bridge between the polar R3m and a
predicted antiferrodistortive R-3c phase.Comment: REVTeX, 4 pages with 3 figures embedded. Figs 1 and 3 in colo
Pion Propagation near the QCD Chiral Phase Transition
We point out that, in analogy with spin waves in antiferromagnets, all
parameters describing the real-time propagation of soft pions at temperatures
below the QCD chiral phase transition can be expressed in terms of static
correlators. This allows, in principle, the determination of the soft pion
dispersion relation on the lattice. Using scaling and universality arguments,
we determine the critical behavior of the parameters of pion propagation. We
predict that when the critical temperature is approached from below, the pole
mass of the pion drops despite the growth of the pion screening mass. This fact
is attributed to the decrease of the pion velocity near the phase transition.Comment: 8 pages (single column), RevTeX; added references, version to be
published in PR
Scaling of thermal conductivity of helium confined in pores
We have studied the thermal conductivity of confined superfluids on a
bar-like geometry. We use the planar magnet lattice model on a lattice with . We have applied open boundary conditions on the bar
sides (the confined directions of length ) and periodic along the long
direction. We have adopted a hybrid Monte Carlo algorithm to efficiently deal
with the critical slowing down and in order to solve the dynamical equations of
motion we use a discretization technique which introduces errors only
in the time step . Our results demonstrate the
validity of scaling using known values of the critical exponents and we
obtained the scaling function of the thermal resistivity. We find that our
results for the thermal resistivity scaling function are in very good agreement
with the available experimental results for pores using the tempComment: 5 two-column pages, 3 figures, Revtex
Chaotic behavior and damage spreading in the Glauber Ising model - a master equation approach
We investigate the sensitivity of the time evolution of a kinetic Ising model
with Glauber dynamics against the initial conditions. To do so we apply the
"damage spreading" method, i.e., we study the simultaneous evolution of two
identical systems subjected to the same thermal noise. We derive a master
equation for the joint probability distribution of the two systems. We then
solve this master equation within an effective-field approximation which goes
beyond the usual mean-field approximation by retaining the fluctuations though
in a quite simplistic manner. The resulting effective-field theory is applied
to different physical situations. It is used to analyze the fixed points of the
master equation and their stability and to identify regular and chaotic phases
of the Glauber Ising model. We also discuss the relation of our results to
directed percolation.Comment: 9 pages RevTeX, 4 EPS figure
- …