6,601 research outputs found

    Elastic Spin Hall effect in Mechanical Graphene

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    We show that spin-orbit interaction and elastic spin-Hall effect can exist in a classical mechanical system consisting of a two-dimensional honeycomb lattice of masses and springs. The band structure shows the presence of splitting at K point induced by the difference of longitudinal and transverse elastic constant, and this splitting can be regarded as an effective Dresselhaus-type spin-orbit coupling. Interestingly, as an initial displacement away from the equilibrium is applied, the time evolution simulation shows that waves of different spin polarization propagates along different directions at the Gamma and K point, which is characteristic of spin-Hall effect. Several cases for spin-Hall effect are also discussed.Comment: 15 pages, 5 figures, and 3395 word

    Skew Cyclic codes over \F_q+u\F_q+v\F_q+uv\F_q

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    In this paper, we study skew cyclic codes over the ring R=\F_q+u\F_q+v\F_q+uv\F_q, where u2=u,v2=v,uv=vuu^{2}=u,v^{2}=v,uv=vu, q=pmq=p^{m} and pp is an odd prime. We investigate the structural properties of skew cyclic codes over RR through a decomposition theorem. Furthermore, we give a formula for the number of skew cyclic codes of length nn over $R.
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