Abstract
We use supersymmetry to calculate exact spectral densities for a class of complex random matrix models having the form , where is a random noise part , and are fixed structure parts. This is a certain version of the “external field” random matrix models. We find twofold integral formulas for arbitrary structural matrices. We investigate some special cases in detail and carry out numerical simulations. The presence or absence of a normality condition on leads to a qualitatively different behavior of the eigenvalue densities.
- Received 5 May 2016
DOI:https://doi.org/10.1103/PhysRevE.94.042130
©2016 American Physical Society