1,047 research outputs found
Electronic screening and correlated superconductivity in carbon nanotubes
A theoretical analysis of the superconductivity observed recently in Carbon
nanotubes is proposed. We argue that ultra-small (diameter )
single wall carbon nanotubes (with transition temperature )
and entirely end-bonded multi-walled ones () can superconduct
by an electronic mechanism, basically the same in both cases. By a Luttinger
liquid -like approach, one finds enhanced superconducting correlations due to
the strong screening of the long-range part of the Coulomb repulsion. Based on
this finding, we perform a detailed analysis on the resulting
Hubbard-like model, and calculate transition temperatures of the same order
of magnitude as the measured ones.Comment: 6 pages, 1 figure, PACS: 71.10.Pm,74.50.+r,71.20.Tx, to appear in
Phys. Rev.
Super rogue waves in simulations based on weakly nonlinear and fully nonlinear hydrodynamic equations
The rogue wave solutions (rational multi-breathers) of the nonlinear
Schrodinger equation (NLS) are tested in numerical simulations of weakly
nonlinear and fully nonlinear hydrodynamic equations. Only the lowest order
solutions from 1 to 5 are considered. A higher accuracy of wave propagation in
space is reached using the modified NLS equation (MNLS) also known as the
Dysthe equation. This numerical modelling allowed us to directly compare
simulations with recent results of laboratory measurements in
\cite{Chabchoub2012c}. In order to achieve even higher physical accuracy, we
employed fully nonlinear simulations of potential Euler equations. These
simulations provided us with basic characteristics of long time evolution of
rational solutions of the NLS equation in the case of near breaking conditions.
The analytic NLS solutions are found to describe the actual wave dynamics of
steep waves reasonably well.Comment: under revision in Physical Review
Refraction of a Gaussian Seaway
Refraction of a Longuet-Higgins Gaussian sea by random ocean currents creates
persistent local variations in average energy and wave action. These variations
take the form of lumps or streaks, and they explicitly survive dispersion over
wavelength and incoming wave propagation direction. Thus, the uniform sampling
assumed in the venerable Longuet-Higgins theory does not apply following
refraction by random currents. Proper handling of the non-uniform sampling
results in greatly increased probability of freak wave formation. The present
theory represents a synthesis of Longuet-Higgins Gaussian seas and the
refraction model of White and Fornberg, which considered the effect of currents
on a plane wave incident seaway. Using the linearized equations for deep ocean
waves, we obtain quantitative predictions for the increased probability of
freak wave formation when the refractive effects are taken into account. The
crest height or wave height distribution depends primarily on the ``freak
index", gamma, which measures the strength of refraction relative to the
angular spread of the incoming sea. Dramatic effects are obtained in the tail
of this distribution even for the modest values of the freak index that are
expected to occur commonly in nature. Extensive comparisons are made between
the analytical description and numerical simulations.Comment: 18 pages, 10 figure
Suppression of electron-electron repulsion and superconductivity in Ultra Small Carbon Nanotubes
Recently, ultra-small-diameter Single Wall Nano Tubes with diameter of have been produced and many unusual properties were observed, such as
superconductivity, leading to a transition temperature , much
larger than that observed in the bundles of larger diameter tubes.
By a comparison between two different approaches, we discuss the issue
whether a superconducting behavior in these carbon nanotubes can arise by a
purely electronic mechanism. The first approach is based on the Luttinger Model
while the second one, which emphasizes the role of the lattice and short range
interaction, is developed starting from the Hubbard Hamiltonian. By using the
latter model we predict a transition temperature of the same order of magnitude
as the measured one.Comment: 7 pages, 3 figures, to appear in J. Phys.-Cond. Ma
Triggering rogue waves in opposing currents
We show that rogue waves can be triggered naturally when a stable wave train
enters a region of an opposing current flow. We demonstrate that the maximum
amplitude of the rogue wave depends on the ratio between the current velocity,
, and the wave group velocity, . We also reveal that an opposing
current can force the development of rogue waves in random wave fields,
resulting in a substantial change of the statistical properties of the surface
elevation. The present results can be directly adopted in any field of physics
in which the focusing Nonlinear Schrodinger equation with non constant
coefficient is applicable. In particular, nonlinear optics laboratory
experiments are natural candidates for verifying experimentally our results.Comment: 5 pages, 5 figure
Modulation of Luttinger liquid exponents in multiwalled carbon nanotubes
8 págs.; 7 figs. ; PACS number s : 73.63.Fg, 73.22. f, 73.23. bWe develop in this paper a theoretical framework that applies to the intermediate regime between the Coulomb blockade and the Luttinger liquid behavior in multiwalled carbon nanotubes. Our main goal is to confront the experimental observations of transport properties, under conditions in which the thermal energy is comparable to the spacing between the single-particle levels. For this purpose we have devised a many-body approach to the one-dimensional electron system, incorporating the effects of a discrete spectrum. We show that, in the crossover regime, the tunneling conductance follows a power-law behavior as a function of the temperature, with an exponent that oscillates with the gate voltage as observed in the experiments. Also in agreement with the experimental observations, a distinctive feature of our approach is the existence of an inflection point in the log-log plots of the conductance vs temperature, at gate voltages corresponding to peaks in the oscillation of the exponent. Moreover, we evaluate the effects of a transverse magnetic field on the transport properties of the multiwalled nanotubes. For fields of the order of 4 T, we find changes in the band structure that may be already significant for the outer shells, leading to an appreciable variation in the power-law behavior of the conductance. We then foresee the appearance of sizeable modulations in the exponent of the conductance for higher magnetic fields, as the different subbands are shifted towards the development of flat Landau levels. © 2006 The American Physical Society.J.G. acknowledges the financial support of the Ministerio
de Educación y Ciencia Spain through Grant No.
BFM2003-05317. E.P. was also supported by INFN Grant
No. 10068.Peer Reviewe
Influence of dimensionality on superconductivity in carbon nanotubes
We investigate the electronic instabilities in carbon nanotubes (CNs),
looking for the break-down of the one dimensional Luttinger liquid regime due
to the strong screening of the long-range part of the Coulomb repulsion. We
show that such a breakdown is realized both in ultra-small single wall CNs and
multi wall CNs, while a purely electronic mechanism could explain the
superconductivity (SC) observed recently in ultra-small (diameter ) single wall CNs () and entirely end-bonded multi-walled
ones (). We show that both the doping and the screening of
long-range part of the electron-electron repulsion, needed to allow the SC
phase, are related to the intrinsically 3D nature of the environment where the
CNs operate.Comment: 5 pages, 3 figures, PACS: 71.10.Pm,74.50.+r,71.20.Tx, to appear in J.
Phys. Cond. Ma
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