2,234 research outputs found
Photoemission, inverse photoemission and superconducting correlations in Hubbard and t--J ladders: role of the anisotropy between legs and rungs
Several experiments in the context of ladder materials have recently shown
that the study of simple models of anisotropic ladders (i.e. with different
couplings along legs and rungs) is important for the understanding of these
compounds. In this paper Exact Diagonalization studies of the one-band Hubbard
and t-J models are reported for a variety of densities, couplings, and
anisotropy ratios. The emphasis is given to the one-particle spectral function
A(q,\omega) which presents a flat quasiparticle dispersion at the chemical
potential in some region of parameter space. This is correlated with the
existence of strong pairing fluctuations, which themselves are correlated with
an enhancement of the bulk-extrapolated value for the two-hole binding energy
as well as with the strength of the spin-gap in the hole-doped system. Part of
the results for the spectral function are explained using a simple analytical
picture valid when the hopping along the legs is small. In particular, this
picture predicts an insulating state at quarter filling in agreement with the
metal-insulator transition observed at this special filling for increasing rung
couplings. The results are compared against previous literature, and in
addition pair-pair correlations using extended operators are also here
reported.Comment: 13 pages, 9 figs, LateX, submitted to The European Physical Journal
Modal analysis and nonlinear characterization of an airborne power ultrasonic transducer with rectangular plate radiator
Some industrial processes like particle agglomeration or food dehydration among others can be enhanced by the use of power ultrasonic technologies. These technologies are based on an airborne power ultrasonic transducer (APUT) constituted by a pre-stressed Langevin-type transducer, a mechanical amplifier and an extensive plate radiator. In order to produce the desired effects in industrial processing, the transducer has to vibrate in an extensional mode driving an extensive radiator in the desired flexural mode with high amplitude displacements. Due to the generation of these high amplitude displacements in the radiator surfaces, non-linear effects like frequency shifts, hysteresis or modal interactions, among others, may be produced in the transducer behavior. When any nonlinear effect appears, when applying power, the stability and efficiency of this ultrasonic technology decreases, and the transducer may be damaged depending on the excitation power level and the nature of the nonlinearity. In this paper, an APUT with flat rectangular radiator is presented, as the active part of an innovative system with stepped reflectors. The nonlinear behavior of the APUT has been characterized numerically and experimentally in case of the modal analysis and experimentally in the case of dynamic analysis. According to the results obtained after the experiments, no modal interactions are expected, nor do other nonlinear effects
Exact corrections for finite-time drift and diffusion coefficients
Real data are constrained to finite sampling rates, which calls for a
suitable mathematical description of the corrections to the finite-time
estimations of the dynamic equations. Often in the literature, lower order
discrete time approximations of the modeling diffusion processes are
considered. On the other hand, there is a lack of simple estimating procedures
based on higher order approximations. For standard diffusion models, that
include additive and multiplicative noise components, we obtain the exact
corrections to the empirical finite-time drift and diffusion coefficients,
based on It\^o-Taylor expansions. These results allow to reconstruct the real
hidden coefficients from the empirical estimates. We also derive higher-order
finite-time expressions for the third and fourth conditional moments, that
furnish extra theoretical checks for that class of diffusive models. The
theoretical predictions are compared with the numerical outcomes of some
representative artificial time-series.Comment: 18 pages, 5 figure
Recent progress in the truncated Lanczos method : application to hole-doped spin ladders
The truncated Lanczos method using a variational scheme based on Hilbert
space reduction as well as a local basis change is re-examined. The energy is
extrapolated as a power law function of the Hamiltonian variance. This
systematic extrapolation procedure is tested quantitatively on the two-leg t-J
ladder with two holes. For this purpose, we have carried out calculations of
the spin gap and of the pair dispersion up to size 2x15.Comment: 5 pages, 4 included eps figures, submitted to Phys. Rev. B; revised
versio
Hole-Pairs in a Spin Liquid: Influence of Electrostatic Hole-Hole Repulsion
The stability of hole bound states in the t-J model including short-range
Coulomb interactions is analyzed using computational techniques on ladders with
up to sites. For a nearest-neighbors (NN) hole-hole repulsion,
the two-holes bound state is surprisingly robust and breaks only when the
repulsion is several times the exchange . At hole doping the
pairs break only for a NN-repulsion as large as . Pair-pair
correlations remain robust in the regime of hole binding. The results support
electronic hole-pairing mechanisms on ladders based on holes moving in
spin-liquid backgrounds. Implications in two dimensions are also presented. The
need for better estimations of the range and strength of the Coulomb
interaction in copper-oxides is remarked.Comment: Revised version with new figures. 4 pages, 5 figure
Riemann Surfaces of genus g with an automorphism of order p prime and p>g
The present work completes the classification of the compact Riemann surfaces
of genus g with an analytic automorphism of order p (prime number) and p > g.
More precisely, we construct a parameteriza- tion space for them, we compute
their groups of uniformization and we compute their full automorphism groups.
Also, we give affine equations for special cases and some implications on the
components of the singular locus of the moduli space of smooth curves of genus
g.Comment: 28 pages, 5 figure
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