1,929 research outputs found
Regularities with random interactions in energy centroids defined by group symmetries
Regular structures generated by random interactions in energy centroids
defined over irreducible representations (irreps) of some of the group
symmetries of the interacting boson models IBM, IBM, IBM- and
IBM- are studied by deriving trace propagations equations for the
centroids. It is found that, with random interactions, the lowest and highest
group irreps in general carry most of the probability for the corresponding
centroids to be lowest in energy. This generalizes the result known earlier,
via numerical diagonalization, for the more complicated fixed spin ()
centroids where simple trace propagation is not possible.Comment: 18 pages, 3 figure
Long term variation of the solar diurnal anisotropy of galactic cosmic rays observed with the Nagoya multi-directional muon detector
We analyze the three dimensional anisotropy of the galactic cosmic ray (GCR)
intensities observed independently with a muon detector at Nagoya in Japan and
neutron monitors over four solar activity cycles. We clearly see the phase of
the free-space diurnal anisotropy shifting toward earlier hours around solar
activity minima in A>0 epochs, due to the reduced anisotropy component parallel
to the mean magnetic field. The average parallel component is consistent with a
rigidity independent spectrum, while the perpendicular component increases with
GCR rigidity. We suggest that this harder spectrum of the perpendicular
component is due to contribution from the drift streaming. We find that the
bidirectional latitudinal density gradient is positive in A>0 epoch, while it
is negative in A<0 epoch, in accord with the drift model prediction. The radial
density gradient, on the other hand, varies with ~11-year cycle with maxima
(minima) in solar maximum (minimum) periods, but there is no significant
difference seen between average radial gradients in A>0 and A<0 epochs. The
average parallel mean free path is larger in A0. We also find,
however, that parallel mean free path (radial gradient) appears to persistently
increase (decreasing) in the last three cycles of weakening solar activity. We
suggest that simple differences between these parameters in A>0 and A<0 epochs
are seriously biased by these long-term trends.Comment: accepted for the publication in the Astrophysical Journa
Structure of wavefunctions in (1+2)-body random matrix ensembles
Abstrtact: Random matrix ensembles defined by a mean-field one-body plus a
chaos generating random two-body interaction (called embedded ensembles of
(1+2)-body interactions) predict for wavefunctions, in the chaotic domain, an
essentially one parameter Gaussian forms for the energy dependence of the
number of principal components NPC and the localization length {\boldmath
l}_H (defined by information entropy), which are two important measures of
chaos in finite interacting many particle systems. Numerical embedded ensemble
calculations and nuclear shell model results, for NPC and {\boldmath l}_H,
are compared with the theory. These analysis clearly point out that for
realistic finite interacting many particle systems, in the chaotic domain,
wavefunction structure is given by (1+2)-body embedded random matrix ensembles.Comment: 20 pages, 3 figures (1a-c, 2a-b, 3a-c), prepared for the invited talk
given in the international conference on `Perspectives in Theoretical
Physics', held at Physical Research Laboratory, Ahmedabad during January
8-12, 200
Random matrix ensemble with random two-body interactions in presence of a mean-field for spin one boson systems
For number of bosons, carrying spin (=1) degree of freedom, in
number of single particle orbitals, each triply degenerate, we
introduce and analyze embedded Gaussian orthogonal ensemble of random matrices
generated by random two-body interactions that are spin (S) scalar
[BEGOE(2)-]. The embedding algebra is with SO(3) generating spin . A method for constructing the ensembles
in fixed-(, ) space has been developed. Numerical calculations show that
the form of the fixed-(, ) density of states is close to Gaussian and
level fluctuations follow GOE. Propagation formulas for the fixed-(, )
space energy centroids and spectral variances are derived for a general one
plus two-body Hamiltonian preserving spin. In addition to these, we also
introduce two different pairing symmetry algebras in the space defined by
BEGOE(2)- and the structure of ground states is studied for each paring
symmetry.Comment: 22 pages, 6 figure
External Bias Dependent Direct To Indirect Bandgap Transition in Graphene Nanoribbon
In this work, using self-consistent tight-binding calculations, for the first
time, we show that a direct to indirect bandgap transition is possible in an
armchair graphene nanoribbon by the application of an external bias along the
width of the ribbon, opening up the possibility of new device applications.
With the help of Dirac equation, we qualitatively explain this bandgap
transition using the asymmetry in the spatial distribution of the perturbation
potential produced inside the nanoribbon by the external bias. This is followed
by the verification of the bandgap trends with a numerical technique using
Magnus expansion of matrix exponentials. Finally, we show that the carrier
effective masses possess tunable sharp characters in the vicinity of the
bandgap transition points.Comment: Accepted for publication in Nano Letter
Intrinsic Limits of Subthreshold Slope in Biased Bilayer Graphene Transistor
In this work, we investigate the intrinsic limits of subthreshold slope in a
dual gated bilayer graphene transistor using a coupled self-consistent
Poisson-bandstructure solver. We benchmark the solver by matching the bias
dependent bandgap results obtained from the solver against published
experimental data. We show that the intrinsic bias dependence of the electronic
structure and the self-consistent electrostatics limit the subthreshold slope
obtained in such a transistor well above the Boltzmann limit of 60mV/decade at
room temperature, but much below the results experimentally shown till date,
indicating room for technological improvement of bilayer graphene.Comment: 10 pages, 2 figure
Spin-polarized electronic structures and transport properties of Fe-Co alloys
The electrical resistivities of Fe-Co alloys owing to random alloy disorder
are calculated using the Kubo-Greenwood formula. The obtained electrical
esistivities agree well with experimental data quantitatively at low
temperature. The spin-polarization of Fe50Co50 estimated from the conductivity
(86%) has opposite sign to that from the densities of the states at the Fermi
level (-73%). It is found that the conductivity is governed mainly by
s-electrons, and the s-electrons in the minority spin states are less
conductive due to strong scattering by the large densities of the states of
d-electrons than the majority spin electrons.Comment: 3 pages, 4 figure
Constraining nuclear physics parameters with current and future COHERENT data
Motivated by the recent observation of coherent elastic neutrino-nucleus
scattering (CENS) at the COHERENT experiment, our goal is to explore its
potential in probing important nuclear structure parameters. We show that the
recent COHERENT data offers unique opportunities to investigate the neutron
nuclear form factor. Our present calculations are based on the deformed Shell
Model (DSM) method which leads to a better fit of the recent CENS data,
as compared to known phenomenological form factors such as the Helm-type,
symmetrized Fermi and Klein-Nystrand. The attainable sensitivities and the
prospects of improvement during the next phase of the COHERENT experiment are
also considered and analyzed in the framework of two upgrade scenarios.Comment: 13 pages, 5 figures, 2 tables; v2: minor corrections, version to
appear in PL
O(12) limit and complete classification of symmetry schemes in proton-neutron interacting boson model
It is shown that the proton-neutron interacting boson model (pnIBM) admits
new symmetry limits with O(12) algebra which break F-spin but preserves the
quantum number M_F. The generators of O(12) are derived and the quantum number
`v' of O(12) for a given boson number N is determined by identifying the
corresponding quasi-spin algebra. The O(12) algebra generates two symmetry
schemes and for both of them, complete classification of the basis states and
typical spectra are given. With the O(12) algebra identified, complete
classification of pnIBM symmetry limits with good M_F is established.Comment: 22 pages, 1 figur
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