Random non-Hermitian tight-binding models

5th International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Marinello, G.^1 ; Pato, M.P.^1

Instituto de Física, Universidade de São Paulo, Rua do Matão 1371, São Paulo

SP

05508-090, Brazil^1

关键词: Hermitians;    Nearest neighbors;    One-dimensional systems;    Random matrix theory;    Tight binding model;    Tridiagonal matrices;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/738/1/012040/pdf
DOI  :  10.1088/1742-6596/738/1/012040

来源: IOP

【 摘 要 】

For a one dimensional system tight binding models are described by sparse tridiagonal matrices which describe interactions between nearest neighbors. In this report, we construct open and closed random tight-binding models based in the tridiagonal matrices of the so-called,β-ensembles of random matrix theory.