2,574 research outputs found
The oxygen isotope effect on critical temperature in superconducting copper oxides
The isotope effect provided a crucial key to the development of the BCS
(Bardeen-Cooper-Schrieffer) microscopic theory of superconductivity for
conventional superconductors. In superconducting cooper oxides (cuprates)
showing an unconventional type of superconductivity, the oxygen isotope effect
is very peculiar: the exponential coefficient strongly depends on doping level.
No consensus has been reached so far on the origin of the isotope effect in the
cuprates. Here we show that the oxygen isotope effect in cuprates is in
agreement with the bisoliton theory of superconductivity.Comment: 3 pages including 4 figures; version 2 is with minor correction
Influence of the sign of the coupling on the temperature dependence of optical properties of one-dimensional exciton models
A new physical cause for a temperature-dependent double peak in exciton systems is put forward within a thermal equilibrium approach for the calculation of optical properties of exciton systems. Indeed, it is found that one-dimensional exciton systems with only one molecule per unit cell can have an absorption spectrum characterized by a double peak provided that the coupling between excitations in different molecules is positive. The two peaks, whose relative intensities vary with temperature, are located around the exciton band edges, being separated by an energy of approximately 4V, where V is the average coupling between nearest neighbours. For small amounts of diagonal and off-diagonal disorder, the contributions from the intermediate states in the band are also visible as intermediate structure between the two peaks, this being enhanced for systems with periodic boundary conditions. At a qualitative level, these results correlate well with experimental observations in the molecular aggregates of the thiacarbocyanine dye THIATS and in the organic crystals of acetanilide and N-methylacetamide
Phonon Coherence and New Set of Sidebands in Phonon-Assisted Photoluminescence
We investigate excitonic polaron states comprising a local exciton and
phonons in the longitudinal optical (LO) mode by solving the Schr\"{o}dinger
equation. We derive an exact expression for the ground state (GS), which
includes multi-phonon components with coefficients satisfying the Huang-Rhys
factors. The recombination of GS and excited polaron states gives one set of
sidebands in photoluminescence (PL): the multi-phonon components in the GS
produce the Stokes lines and the zero-phonon components in the excited states
produce the anti-Stokes lines. By introducing the mixing of the LO mode and
environal phonon modes, the exciton will also couple with the latter, and the
resultant polaron states result in another set of phonon sidebands. This set
has a zero-phonon line higher and wider than that of the first set due to the
tremendous number of the environal modes. The energy spacing between the
zero-phonon lines of the first and second sets is proved to be the binding
energy of the GS state. The common exciton origin of these two sets can be
further verified by a characteristic Fano lineshape induced by the coherence in
the mixing of the LO and the environal modes.Comment: 5 pages, 3 figures 1 figure (fig. 1) replaced 1 figure (fig. 2)
remove
WKB formalism and a lower limit for the energy eigenstates of bound states for some potentials
In the present work the conditions appearing in the WKB approximation
formalism of quantum mechanics are analyzed. It is shown that, in general, a
careful definition of an approximation method requires the introduction of two
length parameters, one of them always considered in the text books on quantum
mechanics, whereas the second one is usually neglected. Afterwards we define a
particular family of potentials and prove, resorting to the aforementioned
length parameters, that we may find an energy which is a lower bound to the
ground energy of the system. The idea is applied to the case of a harmonic
oscillator and also to a particle freely falling in a homogeneous gravitational
field, and in both cases the consistency of our method is corroborated. This
approach, together with the Rayleigh--Ritz formalism, allows us to define an
energy interval in which the ground energy of any potential, belonging to our
family, must lie.Comment: Accepted in Modern Physics Letters
Semi-analytical Solution of Dirac equation in Schwarzschild Geometry
Separation of the Dirac equation in the spacetime around a Kerr black hole
into radial and angular coordinates was done by Chandrasekhar in 1976. In the
present paper, we solve the radial equations in a Schwarzschild geometry
semi-analytically using Wentzel-Kramers-Brillouin approximation (in short WKB)
method. Among other things, we present analytical expression of the
instantaneous reflection and transmission coefficients and the radial wave
functions of the Dirac particles. Complete physical parameter space was divided
into two parts depending on the height of the potential well and energy of the
incoming waves. We show the general solution for these two regions. We also
solve the equations by a Quantum Mechanical approach, in which the potential is
approximated by a series of steps and found that these two solutions agree. We
compare solutions of different initial parameters and show how the properties
of the scattered wave depend on these parameters.Comment: RevTex, 11 Latex pages and 12 Figures ; Classical and Quantum Gravity
(in Press) (1999
Surface solitons in quasiperiodic nonlinear photonic lattices
We study discrete surface solitons in semi-infinite, one-dimensional,
nonlinear (Kerr), quasiperiodic waveguide arrays of the Fibonacci and
Aubry-Andr\'e types, and explore different families of localized surface modes,
as a function of optical power content (`nonlinearity') and quasiperiodic
strength (`disorder'). We find a strong asymmetry in the power content of the
mode as a function of the propagation constant, between the cases of focussing
and defocussing nonlinearity, in both models. We also examine the dynamical
evolution of a completely-localized initial excitation at the array surface. We
find that in general, for a given optical power, a smaller quasiperiodic
strength is required to effect localization at the surface than in the bulk.
Also, for fixed quasiperiodic strength, a smaller optical power is needed to
localize the excitation at the edge than inside the bulk.Comment: 8 pages, 7 figures, submitted for publicatio
Exciton-Polariton scattering for defect detection in cold atom Optical Lattices
We study the effect of defects in the Mott insulator phase of ultracold atoms
in an optical lattice on the dynamics of resonant excitations. Defects, which
can either be empty sites in a Mott insulator state with one atom per site or a
singly occupied site for a filling factor two, change the dynamics of Frenkel
excitons and cavity polaritons. While the vacancies in first case behave like
hard sphere scatters for excitons, singly occupied sites in the latter case can
lead to attractive or repulsive scattering potentials. We suggest cavity
polaritons as observation tool of such defects, and show how the scattering can
be controlled in changing the exciton-photon detuning. In the case of
asymmetric optical lattice sites we present how the scattering effective
potential can be detuned by the cavity photon polarization direction, with the
possibility of a crossover from a repulsive into an attractive potential.Comment: 9 pages, 10 figure
The string model of the Cooper pair in the anisotropic superconductor
The analogy between the Cooper pair in high temperature superconductor and
the quark-antiquark pair in quantum chromodynamics (QCD) is proposed. In QCD
the nonlinear chromodynamical field between a quark and an antiquark is
confined to a tube. So we assume that there is the strong interaction between
phonons which can confine them to some tube too. This tube is described using
the nonlinear Schr\"odinger equation. We show that it has an infinite spectrum
of axially symmetric (string) solutions with negative finite linear energy
density. The one-dimensional nonlinear Schr\"odinger equation has a finite
spectrum (hence, it has a steady-state) which describes the Cooper pair
squezeed between anisotropy planes in the superconductor. It is shown that in
this model the transition temperature is approximately 45 K.Comment: final version, Latex, 9p, to be published in Phys. Rev.
Quantum coherence and carriers mobility in organic semiconductors
We present a model of charge transport in organic molecular semiconductors
based on the effects of lattice fluctuations on the quantum coherence of the
electronic state of the charge carrier. Thermal intermolecular phonons and
librations tend to localize pure coherent states and to assist the motion of
less coherent ones. Decoherence is thus the primary mechanism by which
conduction occurs. It is driven by the coupling of the carrier to the molecular
lattice through polarization and transfer integral fluctuations as described by
the hamiltonian of Gosar and Choi. Localization effects in the quantum coherent
regime are modeled via the Anderson hamiltonian with correlated diagonal and
non-diagonal disorder leading to the determination of the carrier localization
length. This length defines the coherent extension of the ground state and
determines, in turn, the diffusion range in the incoherent regime and thus the
mobility. The transfer integral disorder of Troisi and Orlandi can also be
incorporated. This model, based on the idea of decoherence, allowed us to
predict the value and temperature dependence of the carrier mobility in
prototypical organic semiconductors that are in qualitative accord with
experiments
Extension of Frohlich's method to 4-fermion interactions
Higher order terms of the transformed electron-phonon Hamiltonian, obtained
by performing the Frohlich's transformation, are investigated. The influence of
terms discarded by Frohlich (in particular those proportional to the third
power of electron-phonon coupling) on the effective Hamiltonian is examined. To
this end a second Frohlich-type transformation is performed, which yields,
among others, an effective 4-electron interaction. This interaction is reduced
to a form admitting solution of thermodynamics. The form of the coupling of the
4-electron interaction is found. By applying standard approximations, it is
shown that this interaction is attractive with interaction coupling given by -
D_{k_F}^6 / \omega_{k_F}^5, where D_{k} is electron-phonon coupling,
\omega_{k}$ is phonon energy and k_F is Fermi momentum.
The form of higher order terms of the original Frohlich-transformed H_{e-ph}
are also found, up to terms proportional to the 6-th power of the coupling,
that is up to those, which yield the effective 4-electron interactions.Comment: REVTeX4, 25 pages; major changes: added section and appendix about
the form of 4-fermion interaction coupling, typos correcte
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