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Full-band extended states with random phases in one-dimensional disordered system with specific impurities
Authors:Email author" target="_blank">D-S?HuEmail author  S-J?Xiong
Institution:(1) National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, 210093 Nanjing, P.R. China
Abstract:We investigate transport properties of electrons in a one-dimensional (1D) disordered system consisting of a host chain attached with specific impurities. Every impurity, labelled by j and possessing site energy $\epsilon_j$ , is side-coupled to two adjacent sites of the host chain with hopping integral t 1j and changesthe original nearest-neighbor (NN) hopping to t 2j . We show that if $t_{2j} = -\epsilon_j/2$ and $t_{1j} = \sqrt{t_0^2 - (\epsilon_j/2)^2}$ for all impurities, with t 0 being the NN hopping of the host chain, the states in the whole band are extended, even though $\epsilon_j$ rsquos and positions of impurities are random. The phases of these states, however, are spatially random, corresponding to finite free path and infinite localization length in such a 1D system.Received: 6 May 2004, Published online: 12 July 2004PACS: 72.15.Rn Localization effects (Anderson or weak localization) - 72.80.Ng Disordered solids - 73.20.Jc Delocalization processes
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