Abstract
A cylinder superlattice is formed by arranging the same hollow tubules in a linear lattice. Excitation properties are studied by evaluating the dielectric function within the linear-response approximation. The electronic excitations of a cylinder superlattice are the superposition of those of the individual tubules. However, these two systems an very different from each other. The excitations of different transferred angular momenta ( L 's) are generally coupled in the former, while they are decoupled in the latter. A cylinder superlattice has a highly anisotropic structure, so the electronic excitations strongly depend on the magnitude ( q ) and the direction (θ) of the transferred momentum. It might exhibit two plasmon branches. The low- and high-frequency plasmons, respectively, come from the L =0 and L =1 collective excitations in all tubules. Whether they could exist is determined by q and θ. The comparison among multi-cylinder systems, cylinder superlattices, and cylinder bundles shows that they, re...
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