16,216 research outputs found
Quantized Transport in Two-Dimensional Spin-Ordered Structures
We study in detail the transport properties of a model of conducting
electrons in the presence of double-exchange between localized spins arranged
on a 2D Kagome lattice, as introduced by Ohgushi, Murakami, and Nagaosa (2000).
The relationship between the canting angle of the spin texture and the
Berry phase field flux per triangular plaquette is derived explicitly
and we emphasize the similarities between this model and Haldane's honeycomb
lattice version of the quantum Hall effect (Haldane, 1988). The quantization of
the transverse (Hall) conductivity is derived explicitly from the
Kubo formula and a direct calculation of the longitudinal conductivity
shows the existence of a metal-insulator transition as a function
of the canting angle (or flux density ). This transition might
be linked to that observable in the manganite compounds or in the pyrochlore
ones, as the spin ordering changes from ferromagnetic to canted.Comment: 17 pages, 12 figure
On Atkin and Swinnerton-Dyer Congruence Relations (2)
In this paper we give an example of a noncongruence subgroup whose
three-dimensional space of cusp forms of weight 3 has the following properties.
For each of the four residue classes of odd primes modulo 8 there is a basis
whose Fourier coefficients at infinity satisfy a three-term Atkin and
Swinnerton-Dyer congruence relation, which is the -adic analogue of the
three-term recursion satisfied by the coefficients of classical Hecke eigen
forms. We also show that there is an automorphic -function over
whose local factors agree with those of the -adic Scholl representations
attached to the space of noncongruence cusp forms.Comment: Last version, to appear on Math Annale
Effects of mismatched transmissions on two-mode squeezing and EPR correlations with a slow light medium
We theoretically discuss the preservation of squeezing and continuous
variable entanglement of two mode squeezed light when the two modes are
subjected to unequal transmission. One of the modes is transmitted through a
slow light medium while the other is sent through an optical fiber of unit
transmission. Balanced homodyne detection is used to check the presence of
squeezing. It is found that loss of squeezing occurs when the mismatch in the
transmission of the two modes is greater than 40% while near ideal squeezing is
preserved when the transmissions are equal. We also discuss the effect of this
loss on continuous variable entanglement using strong and weak EPR criteria and
possible applications for this experimental scheme.Comment: 7 pages, 4 figure
Quantum phases of a Feshbach-resonant atomic Bose gas in one dimension
We study an atomic Bose gas with an s-wave Feshbach resonance in a
one-dimensional optical lattice, with the densities of atoms and molecules
incommensurate with the lattice. At zero temperature, most of the parameter
region is occupied by a phase in which the superfluid fluctuations of atoms and
molecules are the predominant ones, due to the phase fluctuations of atoms and
molecules being locked by a Josephson coupling between them. When the density
difference between atoms and molecules is commensurate with the lattice, two
additional phases may exist: the two component Luttinger liquid where both the
atomic and molecular sectors are gapless, and the inter-channel charge density
wave where the relative density fluctuations between atoms and molecules are
frozen at low energy.Comment: 4+epsilon pages, 3 figures; references adde
Characterizations of Pseudo-Codewords of LDPC Codes
An important property of high-performance, low complexity codes is the
existence of highly efficient algorithms for their decoding. Many of the most
efficient, recent graph-based algorithms, e.g. message passing algorithms and
decoding based on linear programming, crucially depend on the efficient
representation of a code in a graphical model. In order to understand the
performance of these algorithms, we argue for the characterization of codes in
terms of a so called fundamental cone in Euclidean space which is a function of
a given parity check matrix of a code, rather than of the code itself. We give
a number of properties of this fundamental cone derived from its connection to
unramified covers of the graphical models on which the decoding algorithms
operate. For the class of cycle codes, these developments naturally lead to a
characterization of the fundamental polytope as the Newton polytope of the
Hashimoto edge zeta function of the underlying graph.Comment: Submitted, August 200
Revised research about chaotic dynamics in Manko et al. spacetime
A recent work by Dubeibe et al. [Phys. Rev. D 75, 023008 (2007)] stated that
chaos phenomenon of test particles in gravitational field of rotating neutron
stars which are described by Manko, Sanabria-Gomez, and Manko (Manko et al.)
metric can only occur when the stars have oblate deformation. But the chaotic
motions they found are limited in a very narrow zone which is very close to the
center of the massive bodies. This paper argues that this is impossible because
the region is actually inside of the stars, so the motions cannot exist at this
place. In this paper, we scan all parameters space and find chaos and unstable
fixed points outside of stars with big mass-quadrupole moments. The
calculations show that chaos can only occur when the stars have prolate
deformation. Because real deformation of stars should be oblate, all orbits of
test particles around the rotating neutron stars described by Manko et al.
solutions are regular. The case of nonzero dipolar magnetic moment has also
been taken into account in this study.Comment: 6 pages, 5 figure
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