Articles
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02/26/1997--
02/26/1997
Quantum Hall Spherical Systems: the Filling Fraction
Within the newly formulated composite fermion hierarchy the filling fraction
of a spherical quantum Hall system is obtained when it can be expressed as an
odd or even denominator fraction. A plot of $\nu\frac{2S}{N-1}$ as a function
of $2S$ for a constant number of particles (up to N=10001) exhibits structure
of the fractional quantum Hall effect. It is confirmed that $\nu_e +\nu_h=1$
for all particle-hole conjugate systems, except systems with $N_e =N_h$, and
$N_e=N_h \pm 1$.
P. Sitko
J. J. Quinn
D. C. Marinescu
04/08/1997--
04/08/1997
The Composite Fermion Hierarchy: Condensed States of Composite Fermion Excitations?
A composite Fermion hierarchy theory is constructed in a way related to the
original Haldane picture by applying the composite Fermion (CF) transformation
to quasiparticles of Jain states. It is shown that the Jain theory coincides
with the Haldane hierarchy theory for principal CF fillings. Within the Fermi
liquid approach for few electron systems on the sphere a simple interpretation
of many-quasiparticle spectra is given and provides an explanation of failure
of CF hierarchy picture when applied to the hierarchical $4/11$ state.
P. Sitko
K. -S. Yi
J. J. Quinn
05/12/1999--
05/12/1999
On the interaction energy of 2D electron FQHE systems within the Chern-Simons approach
The interaction energy of the two-dimensional electron system in the region
of fractional quantum Hall effect is considered within the Chern-Simons
composite fermion approach. In the limit when Coulomb interaction is very small
comparing to the cyclotron energy the RPA results are obtained for the fillings
$\nu=1/3, 1/5, 2/3, 2/5, 3/7$ and compared with the exact diagonalization
results for small systems (extrapolated for infinite systems). They show very
poor agreement suggesting the need for looking for alternative approaches.
P. Sitko
10/14/2003--
08/22/2003
Exclusion Statistics of Quasiparticles in Condensed States of Composite Fermion Excitations
The exclusion statistics of quasiparticles is found at any level of the
hierarchy of condensed states of composite fermion excitations (for which
experimental indications have recently been found). The hierarchy of condensed
states of excitations in boson Jain states is introduced and the statistics of
quasiparticles is found. The quantum Hall states of charged $\alpha$-anyons
($\alpha$ -- the exclusion statistics parameter) can be described as
incompressible states of $(\alpha+2p)$-anyons ($2p$ -- an even number).
Piotr Sitko
08/28/2002--
08/28/2002
FUSE Spectroscopy of the Two Prototype White Dwarfs With Signatures of a Super-hot Wind
The O VIII phenomenon describes the occurrence of ultra-high ionization
absorption lines of the CNO elements (e.g. O VIII, N VII, C VI, and even Ne X)
in the optical spectra hot of DO WDs.
K. Werner
S. Dreizler
J. W. Kruk
M. L. Sitko
07/22/1998--
07/22/1998
Cometary Dust in the Debris Disks of HD 31648 and HD 163296: Two ``Baby'' beta Pics
The debris disks surrounding the pre-main sequence stars HD 31648 and HD
163296 were observed spectroscopically between 3 and 14 microns. Both possess a
silicate emission feature at 10 microns which resembles that of the star beta
Pictoris and those observed in solar system comets. The structure of the band
is consistent with a mixture of olivine and pyroxene material, plus an
underlying continuum of unspecified origin. The similarity in both size and
structure of the silicate band suggests that the material in these systems had
a processing history similar to that in our own solar system prior to the time
that the grains were incorporated into comets.
Michael L. Sitko
Carol A. Grady
David K. Lynch
Ray W. Russell
Martha S. Hanner
08/01/2000--
08/01/2000
Silicate Emission in the TW Hydrae Association
The TW Hydrae Association is the nearest young stellar association. Among its
members are HD 98800, HR 4796A, and TW Hydrae itself, the nearest known
classical T Tauri star. We have observed these three stars spectroscopically
between 3 and 13 microns. In TW Hya the spectrum shows a silicate emission
feature that is similar to many other young stars with protostellar disks. The
11.2 micron feature indicative of significant amounts of crystalline olivine is
not as strong as in some young stars and solar system comets. In HR 4796A, the
thermal emission in the silicate feature is very weak, suggesting little in the
way of (small silicate) grains near the star. The silicate band of HD 98800
(observed by us but also reported by Sylvester and Skinner (1996)) is
intermediate in strength between TW Hya and HR 4796.
M. L. Sitko
D. K. Lynch
R. W Russell
03/25/2004--
02/26/2004
Charge and Statistics of Quasiholes in Pfaffian States of Composite Fermion Excitations
The charge of quasiparticles in Pfaffian states of composite fermion
excitations (the presence of which is indicated by recent experiments) is
found. At the filling fraction of the Pfaffian state $\nu=p/q$ (of the lowest
Landau level) the charge is $\pm e/(2q)$. As in the case of the Pfaffian state
of electrons the statistics of $N_{qh}$ quasiholes in the Pfaffian state
corresponds to the spinor representation of $U(1)\times SO(2N_{qh})$ (the
continuous extension of the braid group). Here U(1) is given by the phase
factor $e^{i({1/8}+\frac{1}{4m})\pi}$ with $m=1+\alpha$, $\alpha$ -- the
exclusion statistics parameter of Jain quasiparticles. The possiblity of
Read-Rezayi states of Jain quasiparticles is also discussed.
Piotr Sitko
05/25/2021--
05/25/2021
Cosmic Meteorology
Mike Lockwood and Mathew Owens discuss how eclipse observations are aiding
the development of a climatology of near-Earth space
Mike Lockwood
Mat Owens
01/08/2020--
10/24/2018
The work of Mike Hochman on multidimensional symbolic dynamics and Borel dynamics
This paper is based on my April 2018 talk at the Maryland-Penn State dynamics
conference, on the occasion of Mike Hochman receiving the Brin Prize.
Mike Boyle
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