3,461 research outputs found
Topological Imbert-Fedorov shift in Weyl semimetals
The Goos-H\"anchen (GH) shift and the Imbert-Fedorov (IF) shift are optical
phenomena which describe the longitudinal and transverse lateral shifts at the
reflection interface, respectively. Here, we report the GH and IF shifts in
Weyl semimetals (WSMs) - a promising material harboring low energy Weyl
fermions, a massless fermionic cousin of photons. Our results show that GH
shift in WSMs is valley-independent which is analogous to that discovered in a
2D relativistic material - graphene. However, the IF shift has never been
explored in non-optical systems, and here we show that it is valley-dependent.
Furthermore, we find that the IF shift actually originates from the topological
effect of the system. Experimentally, the topological IF shift can be utilized
to characterize the Weyl semimetals, design valleytronic devices of high
efficiency, and measure the Berry curvature
Spin alignment of vector meson in e+e- annihilation at Z0 pole
We calculate the spin density matrix of the vector meson produced in e+e-
annihilation at Z^0 pole. We show that the data imply a significant
polarization for the antiquark which is created in the fragmentation process of
the polarized initial quark and combines with the fragmenting quark to form the
vector meson. The direction of polarization is opposite to that of the
fragmenting quark and the magnitude is of the order of 0.5. A qualitative
explanation of this result based on the LUND string fragmentation model is
given.Comment: 15 pages, 2 fgiures; submitted to Phys. Rev.
Spin Alignment of Vector Meson in High Energy Reactions
The recent data on the polarization of vector meson at LEP show that the
vector mesons favor the helicity zero state. We calculate the helicity density
matrix of vector meson which contains a polarized fragmenting quark by adding
the spin of the fragmenting quark and that of the antiquark created in the
fragmentation. The data at LEP imply a significant polarization for the
antiquark in the opposite direction as that of the fragmenting quark. We extend
the calculations to other reactions and make predictions for vector mesons in
deeply inelastic lepton-nucleon scatterings and polarized collisions.Comment: 4 pages,3 figures, Talk given at 3rd Circum-Pan-Pacific Symposium on
"High Energy Spin Physics", Beijing, China, Oct.8-13, 200
Biholomorphic mappings on bounded starlike circular domains
AbstractLet Ω⊂Cn be a bounded starlike circular domain with 0∈Ω. In this paper, we introduce a class of holomorphic mappings Mg on Ω. Let f(z) be a normalized locally biholomorphic mapping on Ω such that Jf−1(z)f(z)∈Mg and z=0 is the zero of order k+1 of f(z)−z. We obtain a sharp growth theorem and sharp coefficient bounds for f(z). As applications, sharp distortion theorems for a subclass of starlike mappings are obtained. These results unify and generalize many known results
One-dimensional quantum channel in a graphene line defect
Using a tight-binding model, we study a line defect in graphene where a bulk
energy gap is opened by sublattice symmetry breaking. It is found that
sublattice symmetry breaking may induce many configurations that correspond to
different band spectra. In particular, a gapless state is observed for a
configuration which hold a mirror symmetry with respect to the line defect. We
find that this gapless state originates from the line defect and is independent
of the width of the graphene ribbon, the location of the line defect, and the
potentials in the edges of the ribbon. In particular, the gapless state can be
controlled by the gate voltage embedded below the line defect. Finally, this
result is supported with conductance calculations. This study shows how a
quantum channel could be constructed using a line defect, and how the quantum
channel can be controlled by tuning the gate voltage embedded below the line
defect.Comment: 8 pages, 10 figure
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