191,802 research outputs found
Quantum Doubles from a Class of Noncocommutative Weak Hopf Algebras
The concept of biperfect (noncocommutative) weak Hopf algebras is introduced
and their properties are discussed. A new type of quasi-bicrossed products are
constructed by means of weak Hopf skew-pairs of the weak Hopf algebras which
are generalizations of the Hopf pairs introduced by Takeuchi. As a special
case, the quantum double of a finite dimensional biperfect (noncocommutative)
weak Hopf algebra is built. Examples of quantum doubles from a Clifford monoid
as well as a noncommutative and noncocommutative weak Hopf algebra are given,
generalizing quantum doubles from a group and a noncommutative and
noncocommutative Hopf algebra, respectively. Moreover, some characterisations
of quantum doubles of finite dimensional biperfect weak Hopf algebras are
obtained.Comment: LaTex 18 pages, to appear in J. Math. Phys. (To compile, need
pb-diagram.sty, pb-lams.sty, pb-xy.sty and lamsarrow.sty
Symmetry breaking and manipulation of nonlinear optical modes in an asymmetric double-channel waveguide
We study light-beam propagation in a nonlinear coupler with an asymmetric
double-channel waveguide and derive various analytical forms of optical modes.
The results show that the symmetry-preserving modes in a symmetric
double-channel waveguide are deformed due to the asymmetry of the two-channel
waveguide, yet such a coupler supports the symmetry-breaking modes. The
dispersion relations reveal that the system with self-focusing nonlinear
response supports the degenerate modes, while for self-defocusingmedium the
degenerate modes do not exist. Furthermore, nonlinear manipulation is
investigated by launching optical modes supported in double-channel waveguide
into a nonlinear uniform medium.Comment: 10 page
High-field Hall resistivity and magnetoresistance in electron-doped Pr_2-xCe_xCuO_{4-\delta}
We report resistivity and Hall effect measurements in electron-doped
PrCeCuO films in magnetic field up to 58 T. In
contrast to hole-doped cuprates, we find a surprising non-linear magnetic field
dependence of Hall resistivity at high field in the optimally doped and
overdoped films. We also observe a crossover from quadratic to linear field
dependence of the positive magnetoresistance in the overdoped films. A spin
density wave induced Fermi surface reconstruction model can be used to
qualitatively explain both the Hall effect and magnetoresistance.Comment: PRL in pres
Local spin polarisation of electrons in Rashba semiconductor nanowires: effects of the bound state
The local spin polarisation (LSP) of electrons in two typical semiconductor
nanowires under the modulation of Rashba spin-orbit interaction (SOI) is
investigated theoretically. The influence of both the SOI- and
structure-induced bound states on the LSP is taken into account via the
spin-resolved lattice Green function method. It is discovered that high
spin-density islands with alternative signs of polarisation are formed inside
the nanowires due to the interaction between the bound states and the Rashba
effective magnetic field. Further study shows that the spin-density islands
caused by the structure-induced bound state exhibit a strong robustness against
disorder. These findings may provide an efficient way to create local magnetic
moments and store information in semiconductors.Comment: 8 pages, 3 figure
SU(4) Theory for Spin Systems with Orbital Degeneracy
The isotropic limit of spin systems with orbital degeneracy is shown to have
global SU(4) symmetry. On many 2D lattices, the ground state does not posses
long range order, which may explain the observed spin liquid properties of
. In the SU(4) Neel ordered state, spin-spin correlations can be
antiferromagneitc between two neighboring sites with parallel magnetic moments.Comment: 11 pages, 2 figures. submitted to PR
Thermal rectifier from deformed carbon nanohorns
We study thermal rectification in single-walled carbon nanohorns (SWNHs) by
using non-equilibrium molecular dynamics (MD) method. It is found that the
horns with the bigger top angles show larger asymmetric heat transport due to
the larger structural gradient distribution. This kind of gradient behavior can
be further adjusted by applying external strain on the SWNHs. After being
carefully elongated along the axial direction, the thermal rectification in the
elongated SWNHs can become more obvious than that in undeformed ones. The
maximum rectification efficiency of SWNHs is much bigger than that of carbon
nanotube intramolecular junctions.Comment: 3 figure
Domain Wall and Periodic Solutions of Coupled phi4 Models in an External Field
Coupled double well (phi4) one-dimensional potentials abound in both
condensed matter physics and field theory. Here we provide an exhaustive set of
exact periodic solutions of a coupled model in an external field in
terms of elliptic functions (domain wall arrays) and obtain single domain wall
solutions in specific limits. We also calculate the energy and interaction
between solitons for various solutions. Both topological and nontopological
(e.g. some pulse-like solutions in the presence of a conjugate field) domain
walls are obtained. We relate some of these solutions to the recently observed
magnetic domain walls in certain multiferroic materials and also in the field
theory context wherever possible. Discrete analogs of these coupled models,
relevant for structural transitions on a lattice, are also considered.Comment: 35 pages, no figures (J. Math. Phys. 2006
Possible complex annihilation and B -> K pi direct CP asymmetry
We point out that a sizable strong phase could be generated from the penguin
annihilation in the soft-collinear effective theory for B meson decays. Keeping
a small scale suppressed by O(Lambda/m_b), Lambda being a hadronic scale and
m_b the b quark mass, in the denominators of internal particle propagators
without expansion, the resultant strong phase can accommodate the data of the
B^0 -> K^-+ pi^+- direct CP asymmetry. Our study reconciles the opposite
conclusions on the real or complex penguin annihilation amplitude drawn in the
soft-collinear effective theory and in the perturbative QCD approach based on
k_T factorization theorem.Comment: 8 pages, 1 figure, added reference
- …