205 research outputs found
Competing density-wave orders in a one-dimensional hard-boson model
We describe the zero-temperature phase diagram of a model of bosons,
occupying sites of a linear chain, which obey a hard-exclusion constraint: any
two nearest-neighbor sites may have at most one boson. A special case of our
model was recently proposed as a description of a ``tilted'' Mott insulator of
atoms trapped in an optical lattice. Our quantum Hamiltonian is shown to
generate the transfer matrix of Baxter's hard-square model. Aided by exact
solutions of a number of special cases, and by numerical studies, we obtain a
phase diagram containing states with long-range density-wave order with period
2 and period 3, and also a floating incommensurate phase. Critical theories for
the various quantum phase transitions are presented. As a byproduct, we show
how to compute the Luttinger parameter in integrable theories with
hard-exclusion constraints.Comment: 16 page
Quantum Entanglement in Heisenberg Antiferromagnets
Entanglement sharing among pairs of spins in Heisenberg antiferromagnets is
investigated using the concurrence measure. For a nondegenerate S=0 ground
state, a simple formula relates the concurrence to the diagonal correlation
function. The concurrence length is seen to be extremely short. A few finite
clusters are studied numerically, to see the trend in higher dimensions. It is
argued that nearest-neighbour concurrence is zero for triangular and Kagome
lattices. The concurrences in the maximal-spin states are explicitly
calculated, where the concurrence averaged over all pairs is larger than the
S=0 states.Comment: 7 pages, 3 figure
A microscopic approach to critical phenomena at interfaces: an application to complete wetting in the Ising model
We study how the formalism of the Hierarchical Reference Theory (HRT) can be
extended to inhomogeneous systems. HRT is a liquid state theory which
implements the basic ideas of Wilson momentum shell renormalization group (RG)
to microscopic Hamiltonians. In the case of homogeneous systems, HRT provides
accurate results even in the critical region, where it reproduces scaling and
non-classical critical exponents. We applied the HRT to study wetting critical
phenomena in a planar geometry. Our formalism avoids the explicit definition of
effective surface Hamiltonians but leads, close to the wetting transition, to
the same renormalization group equation already studied by RG techiques.
However, HRT also provides information on the non universal quantities because
it does not require any preliminary coarse graining procedure. A simple
approximation to the infinite HRT set of equations is discussed. The HRT
evolution equation for the surface free energy is numerically integrated in a
semi-infinite three-dimensional Ising model and the complete wetting phase
transition is analyzed. A renormalization of the adsorption critical amplitude
and of the wetting parameter is observed. Our results are compared to available
Monte Carlo simulations.Comment: To be published in Phy. Rev.
Marginal Pinning of Quenched Random Polymers
An elastic string embedded in 3D space and subject to a short-range
correlated random potential exhibits marginal pinning at high temperatures,
with the pinning length becoming exponentially sensitive to
temperature. Using a functional renormalization group (FRG) approach we find
, with the
depinning temperature. A slow decay of disorder correlations as it appears in
the problem of flux line pinning in superconductors modifies this result, .Comment: 4 pages, RevTeX, 1 figure inserte
Comment on "Observation of the conductivity coherence peak in superconducting Bi2Sr2CaCu2O8 single crystals"
Theoretical Physic
Interface Hamiltonians and bulk critical behavior
FWN – Publicaties zonder aanstelling Universiteit Leide
Correlation Functions for an Elastic String in a Random Potential: Instanton Approach
We develop an instanton technique for calculations of correlation functions
characterizing statistical behavior of the elastic string in disordered media
and apply the proposed approach to correlations of string free energies
corresponding to different low-lying metastable positions. We find high-energy
tails of correlation functions for the case of long-range disorder (the
disorder correlation length well exceeds the characteristic distance between
the sequential string positions) and short-range disorder with the correlation
length much smaller then the characteristic string displacements. The former
case refers to energy distributions and correlations on the distances below the
Larkin correlation length, while the latter describes correlations on the large
spatial scales relevant for the creep dynamics.Comment: 5 pages; 1 .eps figure include
Nonlocal Conductivity in the Vortex-Liquid Regime of a Two-Dimensional Superconductor
We have simulated the time-dependent Ginzburg-Landau equation with thermal
fluctuations, to study the nonlocal dc conductivity of a superconducting film.
Having examined points in the phase diagram at a wide range of temperatures and
fields below the mean-field upper critical field, we find a portion of the
vortex-liquid regime in which the nonlocal ohmic conductivity in real space is
negative over a distance several times the spacing between vortices. The effect
is suppressed when driven beyond linear response. Earlier work had predicted
the existence of such a regime, due to the high viscosity of a
strongly-correlated vortex liquid. This behavior is clearly distinguishable
from the monotonic spatial fall-off of the conductivity in the higher
temperature or field regimes approaching the normal state. The possibilities
for experimental study of the nonlocal transport properties are discussed.Comment: 18 pages, revtex, 6 postscript figure
Comment on ``Phase ordering in chaotic map lattices with conserved dynamics''
Angelini, Pellicoro, and Stramaglia [Phys. Rev. E {\bf 60}, R5021 (1999),
cond-mat/9907149] (APS) claim that the phase ordering of two-dimensional
systems of sequentially-updated chaotic maps with conserved ``order parameter''
does not belong, for large regions of parameter space, to the expected
universality class. We show here that these results are due to a slow crossover
and that a careful treatment of the data yields normal dynamical scaling.
Moreover, we construct better models, i.e. synchronously-updated coupled map
lattices, which are exempt from these crossover effects, and allow for the
first precise estimates of persistence exponents in this case.Comment: 3 pages, to be published in Phys. Rev.
Elastic Chain in a Random Potential: Simulation of the Displacement Function and Relaxation
We simulate the low temperature behaviour of an elastic chain in a random
potential where the displacements are confined to the {\it longitudinal}
direction ( parallel to ) as in a one dimensional charge density
wave--type problem. We calculate the displacement correlation function and the size dependent average square displacement
. We find that with
at short distances and at intermediate
distances. We cannot resolve the asymptotic long distance dependence of
upon . For the system sizes considered we find with . The exponent is in agreement
with the Random Manifold exponent obtained from replica calculations and the
exponent is consistent with an exact solution for the chain
with {\it transverse} displacements ( perpendicular to ).The
distribution of nearest distances between pinning wells and chain-particles is
found to develop forbidden regions.Comment: 19 pages of LaTex, 6 postscript figures available on request,
submitted to Journal of Physics A, MAJOR CHANGE
- …