672 research outputs found
Interfacial fluctuations near the critical filling transition
We propose a method to describe the short-distance behavior of an interface
fluctuating in the presence of the wedge-shaped substrate near the critical
filling transition. Two different length scales determined by the average
height of the interface at the wedge center can be identified. On one length
scale the one-dimensional approximation of Parry et al. \cite{Parry} which
allows to find the interfacial critical exponents is extracted from the full
description. On the other scale the short-distance fluctuations are analyzed by
the mean-field theory.Comment: 13 pages, 3 figure
Improved Mean-Field Scheme for the Hubbard Model
Ground state energies and on-site density-density correlations are calculated
for the 1-D Hubbard model using a linear combination of the Hubbard projection
operators. The mean-field coefficients in the resulting linearized Equations of
Motion (EOM) depend on both one-particle static expectation values as well as
static two-particle correlations. To test the model, the one particle
expectation values are determined self-consistently while using Lanczos
determined values for the two particle correlation terms. Ground state energies
and on-site density-density correlations are then compared as a function of
to the corresponding Lanczos values on a 12 site Hubbard chain for 1/2 and 5/12
fillings. To further demonstrate the validity of the technique, the static
correlation functions are also calculated using a similar EOM approach, which
ignores the effective vertex corrections for this problem, and compares those
results as well for a 1/2 filled chain. These results show marked improvement
over standard mean-field techniques.Comment: 10 pages, 3 figures, text and figures as one postscript file -- does
not need to be "TeX-ed". LA-UR-94-294
Spin Chirality Fluctuation and Anomalous Hall Effect in Itinerant Ferromagnets
The anomalous Hall effect due to the spin chirality order and fluctuation is
studied theoretically in a Kondo lattice model without the relativistic
spin-orbit interaction. Even without the correlations of the localized spins,
can emerge depending on the lattice structure and the spin
anisotropy. We reveal the condition for this chirality-fluctuation driven
mechanism for . Our semiquantitative estimates for a pyrochlore
oxide NdMoO give a finite \sigma_{xy} \sim 10 \Ohm^{-1} \cm^{-1}
together with a high resistivity \rho_{xx} \sim 10^{-4}-10^{-3} \Ohm \cm, in
agreement with experiments.Comment: 5 pages, including 4 figure
High temperature superconductivity in dimer array systems
Superconductivity in the Hubbard model is studied on a series of lattices in
which dimers are coupled in various types of arrays. Using fluctuation exchange
method and solving the linearized Eliashberg equation, the transition
temperature of these systems is estimated to be much higher than that of
the Hubbard model on a simple square lattice, which is a model for the high
cuprates. We conclude that these `dimer array' systems can generally
exhibit superconductivity with very high . Not only -electron systems,
but also -electron systems may provide various stages for realizing the
present mechanism.Comment: 4 pages, 9 figure
Role of strong correlation in the recent ARPES experiments for cuprate superconductors
Motivated by recent photoemission experiments on cuprates, the low-lying
excitations of a strongly correlated superconducting state are studied
numerically. It is observed that along the nodal direction these low-lying
one-particle excitations show a linear momentum dependence for a wide range of
excitation energies and, thus, they do not present a kink-like structure. The
nodal Fermi velocity , as well as other observables, are
systematically evaluated directly from the calculated dispersions, and they are
found to compare well with experiments. It is argued that the parameter
dependence of is quantitatively explained by a simple picture of a
renormalized Fermi velocity.Comment: 5 pages, 4 figures, to be published in Phys. Rev. Let
Fourth Order Perturbation Theory for Normal Selfenergy in Repulsive Hubbard Model
We investigate the normal selfenergy and the mass enhancement factor in the
Hubbard model on the two-dimensional square lattice. Our purpose in this paper
is to evaluate the mass enhancement factor more quantitatively than the
conventional third order perturbation theory. We calculate it by expanding
perturbatively up to the fourth order with respect to the on-site repulsion
. We consider the cases that the system is near the half-filling, which are
similar situations to high- cuprates. As results of the calculations, we
obtain the large mass enhancement on the Fermi surface by introducing the
fourth order terms. This is mainly originated from the fourth order
particle-hole and particle-particle diagrams. Although the other fourth order
terms have effect of reducing the effective mass, this effect does not cancel
out the former mass enhancement completely and there remains still a large mass
enhancement effect. In addition, we find that the mass enhancement factor
becomes large with increasing the on-site repulsion and the density of
state (DOS) at the Fermi energy . According to many current reseaches,
such large and enhance the effective interaction between
quasiparticles, therefore the superconducting transition temperature
increases. On the other hand, the large mass enhancement leads the reduction of
the energy scale of quasiparticles, as a result, is reduced. When we
discuss , we have to estimate these two competitive effects.Comment: 6pages,8figure
Superconductivity in the Cuo Hubbard Model with Long-Range Coulomb Repulsion
A multiband CuO Hubbard model is studied which incorporates long-range (LR)
repulsive Coulomb interactions. In the atomic limit, it is shown that a
charge-transfer from copper to oxygen ions occurs as the strength of the LR
interaction is increased. The regime of phase separation becomes unstable, and
is replaced by a uniform state with doubly occupied oxygens. As the holes
become mobile a superfluid condensate is formed, as suggested by a numerical
analysis of pairing correlation functions and flux quantization. Although most
of the calculations are carried out on one dimensional chains, it isComment: LATEX, 14 pages, 4 figures available as postcript files or hard copy,
preprint ORNL-CCIP/93/1
Formation of clusters in the ground state of the model on a two leg ladder
We investigate the ground state properties of the model on a two leg
ladder with anisotropic couplings () along rungs and
() along legs. We have implemented a cluster approach based
on 4-site plaqettes. In the strong asymmetric cases and
the ground state energy is well described by plaquette
clusters with charges . The interaction between the clusters favours the
condensation of plaquettes with maximal charge -- a signal for phase
separation. The dominance of Q=2 plaquettes explains the emergence of tightly
bound hole pairs. We have presented the numerical results of exact
diagonalization to support our cluster approach.Comment: 11 pages, 9 figures, RevTex
Nonclassical time correlation functions in continuous quantum measurement
A continuous projective measurement of a quantum system often leads to a
suppression of the dynamics, known as the Zeno effect. Alternatively,
generalized nonprojective, so-called "weak" measurements can be carried out.
Such a measurement is parameterized by its strength parameter that can
interpolate continuously between the ideal strong measurement with no
dynamics-the strict Zeno effect, and a weak measurement characterized by almost
free dynamics but blurry observations. Here we analyze the stochastic
properties of this uncertainty component in the resulting observation
trajectory. The observation uncertainty results from intrinsic quantum
uncertainty, the effect of measurement on the system (backaction) and detector
noise. It is convenient to separate the latter, system-independent contribution
from the system-dependent uncertainty, and this paper shows how to accomplish
this separation. The system-dependent uncertainty is found in terms of a
quasi-probability, which, despite its weaker properties, is shown to satisfy a
weak positivity condition. We discuss the basic properties of this
quasi-probability with special emphasis on its time correlation functions as
well as their relationship to the full correlation functions along the
observation trajectory, and illustrate our general results with simple
examples.We demonstrate a violation of classical macrorealism using the
fourth-order time correlation functions with respect to the quasi-probability
in the twolevel system.Comment: 20 pages, 1 figure, published version (open access
Phase separation and pairing in coupled chains and planes
A generalization of the model in a system of two coupled chains or
planes is studied by numerical diagonalization of small clusters. In
particular, the effect of density fluctuations between these one- or
two-dimensional coupled layerson intralayer phase separation and pairing is
analyzed. The most robust signals of superconductivity are found at quarter
filling for couplings just before the fully interlayer phase separated regime.
The possibility of an enhancement of the intralayer superconducting pairing
correlations by the interlayer couplings is investigated.Comment: 13 pages + 3 figures, available upon request, LATEX, preprint
ORNL/CCIP/93/1
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