104 research outputs found
Critical generalized inverse participation ratio distributions
The system size dependence of the fluctuations in generalized inverse
participation ratios (IPR's) at criticality is investigated
numerically. The variances of the IPR logarithms are found to be
scale-invariant at the macroscopic limit. The finite size corrections to the
variances decay algebraically with nontrivial exponents, which depend on the
Hamiltonian symmetry and the dimensionality. The large- dependence of the
asymptotic values of the variances behaves as according to theoretical
estimates. These results ensure the self-averaging of the corresponding
generalized dimensions.Comment: RevTex4, 5 pages, 4 .eps figures, to be published in Phys. Rev.
Multifractality and critical fluctuations at the Anderson transition
Critical fluctuations of wave functions and energy levels at the Anderson
transition are studied for the family of the critical power-law random banded
matrix ensembles. It is shown that the distribution functions of the inverse
participation ratios (IPR) are scale-invariant at the critical point,
with a power-law asymptotic tail. The IPR distribution, the multifractal
spectrum and the level statistics are calculated analytically in the limits of
weak and strong couplings, as well as numerically in the full range of
couplings.Comment: 14 pages, 13 eps figure
Anomalously localized states and multifractal correlations of critical wavefunctions in two-dimensional electron systems with spin-orbital interactions
Anomalously localized states (ALS) at the critical point of the Anderson
transition are studied for the SU(2) model belonging to the two-dimensional
symplectic class. Giving a quantitative definition of ALS to clarify
statistical properties of them, the system-size dependence of a probability to
find ALS at criticality is presented. It is found that the probability
increases with the system size and ALS exist with a finite probability even in
an infinite critical system, though the typical critical states are kept to be
multifractal. This fact implies that ALS should be eliminated from an ensemble
of critical states when studying critical properties from distributions of
critical quantities. As a demonstration of the effect of ALS to critical
properties, we show that the distribution function of the correlation dimension
of critical wavefunctions becomes a delta function in the thermodynamic limit
only if ALS are eliminated.Comment: 7 pages, 6 figure
Multifractality of Hamiltonians with power-law transfer terms
Finite-size effects in the generalized fractal dimensions are
investigated numerically. We concentrate on a one-dimensional disordered model
with long-range random hopping amplitudes in both the strong- and the
weak-coupling regime. At the macroscopic limit, a linear dependence of on
is found in both regimes for values of q \alt 4g^{-1}, where is the
coupling constant of the model.Comment: RevTex4, 5 two-column pages, 5 .eps figures, to be published in Phys.
Rev.
Multifractal spectrum at strong and weak disorder
The system size dependence of the multifractal spectrum and its
singularity strength is investigated numerically. We focus on
one-dimensional (1D) and 2D disordered systems with long-range random hopping
amplitudes in both the strong and the weak disorder regime. At the macroscopic
limit, it is shown that is parabolic in the weak disorder regime.
In the case of strong disorder, on the other hand, strongly
deviates from parabolicity. Within our numerical uncertainties it has been
found that all corrections to the parabolic form vanish at some finite value of
the coupling strength.Comment: RevTex4, 6 two-column pages, 4 .eps figures, new results added,
updated references, to be published in Phys. Rev.
Energy Flow in the Hadronic Final State of Diffractive and Non-Diffractive Deep-Inelastic Scattering at HERA
An investigation of the hadronic final state in diffractive and
non--diffractive deep--inelastic electron--proton scattering at HERA is
presented, where diffractive data are selected experimentally by demanding a
large gap in pseudo --rapidity around the proton remnant direction. The
transverse energy flow in the hadronic final state is evaluated using a set of
estimators which quantify topological properties. Using available Monte Carlo
QCD calculations, it is demonstrated that the final state in diffractive DIS
exhibits the features expected if the interaction is interpreted as the
scattering of an electron off a current quark with associated effects of
perturbative QCD. A model in which deep--inelastic diffraction is taken to be
the exchange of a pomeron with partonic structure is found to reproduce the
measurements well. Models for deep--inelastic scattering, in which a
sizeable diffractive contribution is present because of non--perturbative
effects in the production of the hadronic final state, reproduce the general
tendencies of the data but in all give a worse description.Comment: 22 pages, latex, 6 Figures appended as uuencoded fil
A Search for Selectrons and Squarks at HERA
Data from electron-proton collisions at a center-of-mass energy of 300 GeV
are used for a search for selectrons and squarks within the framework of the
minimal supersymmetric model. The decays of selectrons and squarks into the
lightest supersymmetric particle lead to final states with an electron and
hadrons accompanied by large missing energy and transverse momentum. No signal
is found and new bounds on the existence of these particles are derived. At 95%
confidence level the excluded region extends to 65 GeV for selectron and squark
masses, and to 40 GeV for the mass of the lightest supersymmetric particle.Comment: 13 pages, latex, 6 Figure
Scaling and nonscaling finite-size effects in the Gaussian and the mean spherical model with free boundary conditions
We calculate finite-size effects of the Gaussian model in a L\times \tilde
L^{d-1} box geometry with free boundary conditions in one direction and
periodic boundary conditions in d-1 directions for 2<d<4. We also consider film
geometry (\tilde L \to \infty). Finite-size scaling is found to be valid for
d3 but logarithmic deviations from finite-size scaling are found for
the free energy and energy density at the Gaussian upper borderline dimension
d* =3. The logarithms are related to the vanishing critical exponent
1-\alpha-\nu=(d-3)/2 of the Gaussian surface energy density. The latter has a
cusp-like singularity in d>3 dimensions. We show that these properties are the
origin of nonscaling finite-size effects in the mean spherical model with free
boundary conditions in d>=3 dimensions. At bulk T_c in d=3 dimensions we find
an unexpected non-logarithmic violation of finite-size scaling for the
susceptibility \chi \sim L^3 of the mean spherical model in film geometry
whereas only a logarithmic deviation \chi\sim L^2 \ln L exists for box
geometry. The result for film geometry is explained by the existence of the
lower borderline dimension d_l = 3, as implied by the Mermin-Wagner theorem,
that coincides with the Gaussian upper borderline dimension d*=3. For 3<d<4 we
find a power-law violation of scaling \chi \sim L^{d-1} at bulk T_c for box
geometry and a nonscaling temperature dependence \chi_{surface} \sim \xi^d of
the surface susceptibility above T_c. For 2<d<3 dimensions we show the validity
of universal finite-size scaling for the susceptibility of the mean spherical
model with free boundary conditions for both box and film geometry and
calculate the corresponding universal scaling functions for T>=T_c.Comment: Submitted to Physical Review
Measurement of the p-pbar -> Wgamma + X cross section at sqrt(s) = 1.96 TeV and WWgamma anomalous coupling limits
The WWgamma triple gauge boson coupling parameters are studied using p-pbar
-> l nu gamma + X (l = e,mu) events at sqrt(s) = 1.96 TeV. The data were
collected with the DO detector from an integrated luminosity of 162 pb^{-1}
delivered by the Fermilab Tevatron Collider. The cross section times branching
fraction for p-pbar -> W(gamma) + X -> l nu gamma + X with E_T^{gamma} > 8 GeV
and Delta R_{l gamma} > 0.7 is 14.8 +/- 1.6 (stat) +/- 1.0 (syst) +/- 1.0 (lum)
pb. The one-dimensional 95% confidence level limits on anomalous couplings are
-0.88 < Delta kappa_{gamma} < 0.96 and -0.20 < lambda_{gamma} < 0.20.Comment: Submitted to Phys. Rev. D Rapid Communication
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