Sparse random matrix configurations for two or three interacting electrons in a random potential

Shi-Jie Xiong; S. N. Evangelou

doi:10.1103/physrevb.56.13623

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Sparse random matrix configurations for two or three interacting electrons in a random potential

Shi-Jie Xiong·S. N. Evangelou

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Abstract

We investigate the random matrix configurations for two or three interacting electrons in one-dimensional disordered systems. In a suitable non-interacting localized electron basis we obtain a sparse random matrix with very long tails which is different from a superimposed random band matrix usually thought to be valid. The number of non-zero off-diagonal matrix elements is shown to decay very weakly from the matrix diagonal and the non-zero matrix elements are distributed according to a Lorentzian around zero with also very weakly decaying parameters. The corresponding random matrix for three interacting electrons is similar but even more sparse.

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Shi-Jie Xiong, S. N. Evangelou. 1997-03-20. Sparse random matrix configurations for two or three interacting electrons in a random potential. https://doi.org/10.1103/physrevb.56.13623

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