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Full-band extended states with random phases in one-dimensional disordered system with specific impurities

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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 \(\epsilon_j\)’s 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.

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Authors and Affiliations

  1. National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, 210093, Nanjing, P.R. China

    D.-S. Hu & S.-J. Xiong

Authors
  1. D.-S. Hu
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  2. S.-J. Xiong
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Correspondence to D.-S. Hu.

Additional information

Received: 6 May 2004, Published online: 12 July 2004

PACS:

72.15.Rn Localization effects (Anderson or weak localization) - 72.80.Ng Disordered solids - 73.20.Jc Delocalization processes

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Hu, DS., Xiong, SJ. Full-band extended states with random phases in one-dimensional disordered system with specific impurities. Eur. Phys. J. B 39, 309–311 (2004). https://doi.org/10.1140/epjb/e2004-00196-7

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  • DOI: https://doi.org/10.1140/epjb/e2004-00196-7

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