899 research outputs found
Degeneracy of Landau Level and Quantum Group SL_q(2)
We show that there is a kind of quantum group symmetry in the
usual Landau problem and it is this quantum group symmetry that governs the
degeneracy of Landau levels. We find that under the periodic boundary
condition, the degree of degeneracy of Landau levels is finite, and it just
equals the dimension of the irreducible cyclic representation of the quantum
group .Comment: 10 pages, Preprint ( reprint ) of Nankai Institute of Mathematics.
For hard copy, write to Prof. Mo-lin GE, Director of Nankai Institute of
Mathematics. Do not send emails to this computer accoun
Holographic fermions in charged Lifshitz theory
We investigate the properties of holographic fermions in charged Lifshitz
black holes at finite temperature through the AdS/CFT correspondence. In the
charged Lifshitz background with the dynamical exponent , we find that the
dispersion relation is linear. The scaling behavior of the imaginal part of the
Green function relative to is also discussed. We find,
although the system has linear dispersion relation and quadratic quasi-particle
width, it does not satisfy Luttinger's theorem. We also find that the variation
of the scaling parameters and is small as the charge
varies. Furthermore, we also discuss the effect of the dynamical exponent
by considering the cases and and show that become smooth
when the dynamical exponent increases.Comment: 1+16pages, many figures, published versio
Liquid Crystal Display
A display includes pixel circuits, each pixel circuit including a first electrode, a second electrode, a third electrode, and a liquid crystal layer doped with a chiral material. The first electric is electrically coupled to a first reference voltage. The second electrode receives a pixel voltage corresponding to a gray scale level, the second electrode including a conducting layer having openings. The third electrode is electrically coupled to a second reference voltage. The second electrode is between the first and third electrodes, and the liquid crystal layer is between the first and second electrodes
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