19,922 research outputs found
Optical absorption preceding resonant double photoionization of aromatic hydrocarbons hydrocarbons
We analyze resonances in the double photoionization of a variety of aromatic
hydrocarbons. The resonances reflect the breakup of quasi-bound electron pairs.
The basic premise of this paper is that there is a direct connection between
the quasi-bound pairs and resonant peaks in the optical absorption that are
associated with doubly occupied sites on the perimeter and inside the perimeter
of the molecule. The optical absorption leading to the high-energy resonance
(approximately 40 eV), calculated from a many-site one-dimensional Hubbard
model, has a peak at U, the electrostatic interaction energy for two electrons
with antiparallel spins on the same carbon atom. In the model, there are also
two satellites whose separation from the main resonance is approximately +/-10
eV suggesting that unresolved satellite structure may be contributing to the
linewidth of the resonant peak. The low energy resonances (approximately 10 eV)
involve carbon atoms located inside the perimeter, a configuration present only
in pyrene and coronene (among the hydrocarbons studied). In the case of pyrene,
which has two carbon atoms inside the perimeter, we employ a two-site Hubbard
model to characterize the absorption leading to the quasi-bound state. A brief
analysis of the double photoionization resonance of the heterocyclic inorganic
molecule 1,3,5-triazine presented. We also discuss recent results for the
double photoionization of the cyclic inorganic molecule tribromoborazine and
the organic molecules furan, pyrrole, selenophene, and thiophene where the 2+
ion concentration varies linearly with the difference between the photon energy
and the threshold energy. A theory for the linear behavior is outlined
Coulomb Pairing and Double Photoionization in Aromatic Hydrocarbons
Recently reported anomalies in the double-photonionization spectra of the
aromatic molecules partially deuterated benzene, naphthalene, anthracene,
pentacene, azulene, phenanthrene, pyrene and coronene are attributed to
Coulomb-pair resonances of pi electrons. The properties of the resonance in
benzene are investigated in detail. The linear behavior in the 2+/1+ ion ratio
above the resonance is attributed to a two-electron transition associated with
excitation from the ground state to a two-electron continuum. A similar
explanation accounts for the linear behavior seen in the pentagonal rings
pyrrole, furan, selenophene and thiophene which do not display resonance peaks.Comment: 6 pages. arXiv admin note: substantial text overlap with
arXiv:1312.049
Comments on Coulomb pairing in aromatic hydrocarbons
Recently reported anomalies in the double-photonionization spectra of
aromatic molecules such as benzene, naphthalene, anthracene and coronene are
attributed to Coulomb-pair resonances of pi electrons.Comment: 5 page
Linear temperature dependence of electron spin resonance linewidths in La0.7Ca0.3MnO3 and YBaMn2O6
We analyze recent electron spin resonance (ESR) experiments in La0.7Ca0.3MnO3
and YBaMn2O6 focusing on the behavior of the linewidth at high temperatures
where it is a linear function of the temperature. Noting that the g-factors of
the resonances are characteristic of the Mn4+ ion in a cubic environment, we
make the assumption that the linewidth involves the static susceptibility of
the Mn4+ spins which we analyze in the molecular field approximation. We
conclude that the linear dependence on temperature is associated with the
susceptibility having a Curie or Curie-Weiss form while the
temperature-dependent relaxation mechanism has a microscopic rate proportional
to the temperature. In La0.7Ca0.3MnO3, the Mn4+ susceptibility has the
ferromagnetic Curie-Weiss form, and the static contribution to the linewidth
arising from distortions of the oxygen octahedra is absent due to motional
narrowing brought on by the rapid hopping of the eg polarons. In YBaMn2O6
either of two scenarios is possible. The Mn4+ susceptibility above 520 K is
Curie-like and the static term is present, or the susceptibility has the
antiferromagnetic Curie-Weiss form and the static term is absent due to
motional narrowing. It is concluded that the Curie model, with offsetting
double exchange and and superexchange Curie-Weiss parameters, is the more
likely scenario. It is suggested that the linear-T variation of the linewidth
in both materials arises from either a Korringa-like mechanism involving
interactions with mobile carriers or from a spin-phonon process coming from
interactions between the Mn4+ ions and the lattice vibrations
Dynamics of an Ensemble of Noisy Bistable Elements with Global Time-Delayed Coupling
The dynamics of an ensemble of bistable elements with global time-delayed
coupling under the influence of noise is studied analytically and numerically.
Depending on the noise level the system undergoes ordering transitions and
demonstrates multi-stability. That is, for a strong enough positive feedback it
exhibits a non-zero stationary mean field and a variety of stable oscillatory
mean field states are accessible for positive and negative feedback. The
regularity of the oscillatory states is maximal for a certain noise level,
i.e., the system demonstrates coherence resonance. While away from the
transition points the system dynamics is well described by a Gaussian
approximation, near the bifurcation points a description in terms of a
dichotomous theory is more adequate.Comment: 4 pages, 3 figures. Accepted for publication in Phys. Rev. Let
The effect of anisotropy on the absorption spectrum and the density of states of two-dimensional Frenkel exciton systems with Gaussian diagonal disorder
On the optical absorption and the density of states of Frenkel exciton
systems on square, rectangular, and triangular lattices with nearest-neighbor
interactions and a Gaussian distribution of transition frequencies. The
analysis is based on an elliptic integral approach that gives results over the
entire spectrum. It is found that the absorption is weakly affected by the
anisotropy in contrast to the density of states where the effects can be much
stronger. The results for the square lattice are in good agreement with the
finite array calculations of Schreiber and Toyozawa. Our findings suggest that
the coherent potential approximation can be useful in interpreting the optical
properties of two-dimensional systems with dominant nearest-neighbor
interactions and Gaussian diagonal disorder where the optically excited states
are Frenkel excitons.Comment: one pdf fil
Equilibrium Properties of Mixtures of Bosons and Fermions
Partial Quantum Nearest Neighbor Probability Density Functions (PQNNPDF's)
are formulated for the purpose of determining the behavior of quantum mixed
systems in equilibrium in a manner analogous to that provided for classical
multi-component systems. Developments in partial quantum m-tuplet distribution
functions, a generalization of the partial quantum radial distribution
function, along with their relationship to PQNNPDF's, are briefly elucidated.
The calculation of statistical thermodynamic properties of quantum mixtures is
presented for arbitrary material systems. Application to the limiting case of
dilute, weakly correlated quantum gas mixtures has been outlined and the second
virial coefficient is derived. The case of dilute strongly degenerate mixtures
is also addressed, providing an expression for the PQNNPDF applicable in this
thermodynamic regime.Comment: 32 pages including abstract and title page
The classical Generalized Constant Coupling method for Geometrically Frustrated Magnets revisited: Microscopic formulation and effect of perturbations beyond nearest neighbor interactions
A microscopic derivation of the classical Generalized Constant Coupling (GCC)
model for geometrically frustrated magnets is presented. Starting from the
classical Heisenberg Hamiltonian, the partition function for clusters with p =
2, 3, 4 ,...spins in the presence of the inhomogeneous symmetry breaking fields
(SBF) created by spins outside the unit is calculated. The effective fields
characterizing the interaction between units naturally arise as averages over
the SBF. These effective fields are fixed by a self-consistency condition. In
the paramagnetic regime, we recover all the results previously obtained in a
more phenomenological way, which were shown to be in excellent agreement with
Monte Carlo calculations for these lattices. In the absence of applied magnetic
field, it is found that, for antiferromagnetic interactions, the equilibrium
configuration is a non-collinear configuration in which the total magnetization
of the unit is zero, and the condition under which such an ordered state occurs
is also obtained from the calculation.
However, frustration inhibits the formation of such an state, and the system
remains paramagnetic down to 0 K, if only nearest neighbor interactions are
taken into account, for all the systems considered. Furthermore, we also study
the effect of next nearest neighbor interactions (NNN) and site dilution by
non-magnetic impurities for the pyrochlore lattice. It is found that NNN
interactions can stabilize a non-collinear ordered state, or ferromagnetic one,
depending on the relation between NN and NNN interactions, and the phase
diagram is calculated. However, site dilution is not enough by itself to form
such an ordered state.Comment: 26 pages, 9 figures, RevTeX
Accuracy of the coherent potential approximation for a one-dimensional array with a Gaussian distribution of fluctuations in the on-site potential
We investigate the accuracy of the coherent potential approximation (CPA) for
a one-dimensional array with nearest-neighbor interactions and a Gaussian
distribution of fluctuations in the on-site potential. The CPA values of the
integrated density of states and the inverse localization length are compared
with the results of mode-counting studies carried out on arrays of 107 - 108
sites. Good agreement is obtained suggesting that the CPA may be exact for this
model. We also consider the asymptotic behavior of the inverse localization
length and show that it can be approximated by the reciprocal of the decay
length of a state localized about a single, strongly perturbed site in an
otherwise perfect lattice.Comment: 14 pages, 5 figures
Classification of Mixed State Topology in One Dimension
We show how to generalize the concepts of identifying and classifying
symmetry protected topological phases in 1D to the case of an arbitrary mixed
state. The pure state concepts are reviewed using a concrete spin-1 model. For
the mixed state setup we demonstrate our findings numerically using matrix
product state algorithms. Starting from the ground state and applying various
types of noise sources we find a transient regime where the system is driven
out of equilibrium while retaining its topological properties.Comment: 4 pages + appendi
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