English

Delocalised states in a 1D random system with Anderson's diagonal disorder

Disordered Systems and Neural Networks 2007-05-23 v2

Abstract

1D diagonally disordered chain with Frenkel exciton and long range exponential intersite interaction is considered. It is shown that some states of this disordered system are delocalised (extended) contrary to the popular statement that all states in 1D disordered system are localised. The theorem is established that for the Anderson's model of diagonal disorder one should expect the appearance of states with extended module. All statements are confirmed by computer simulations.

Keywords

Cite

@article{arxiv.cond-mat/0402308,
  title  = {Delocalised states in a 1D random system with Anderson's diagonal disorder},
  author = {G. G. Kozlov},
  journal= {arXiv preprint arXiv:cond-mat/0402308},
  year   = {2007}
}

Comments

Latex, 8 pages, 2 figures