Eigenvector correlations in non-Hermitian random matrix ensembles

Conference item

We analyse correlations of eigenvectors in Ginibre's and Girko's ensembles of Gaussian, non-Hermitian random N x N matrices J. We study the ensemble average of [L-alpha/L-beta] [R-beta/R-alpha], where [L-alpha\ and \R-beta] are the left and right eigenvectors of J. The case of Ginibre's ensemble, in which the real and imaginary parts of each element of J are independent random variables, is sufficiently symmetric to allow for an exact solution. In the more general case of Girko's ensemble, we...

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Authors: Mehlig, B; Chalker, J

• Publication status: Published
• Journal: ANNALEN DER PHYSIK
• Volume: 7
• Issue: 5-6
• Pages: 427-436
• Publication date: 1998-01-01
• Event title: 210 WE-Heraeus-Seminar on Percolation, Interaction, Localization - Simulations of Transport in Disordered Systems
• DOI: 10.1002/(SICI)1521-3889(199811)7:5/6<427::AID-ANDP427>3.0.CO;2-1
• EISSN: 1521-3889
• ISSN: 0003-3804
• Keywords: disordered systems; random matrices