Finite-Rank Complex Deformations of Random Band Matrices: Sigma-Model Approximation
We study the distribution of complex eigenvalues $z_1, \ldots , z_N$ of random Hermitian N × N block band matrices with a complex deformation of a finite rank. Assuming that the width of the band $W$ grows faster than $\sqrt{N}$, we proved that the limiting density of $\Im z_1, \ldots , \Im z_N$ in...
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| Date: | 2023 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України
2023
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| Subjects: | |
| Online Access: | https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1005 |
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| Journal Title: | Journal of Mathematical Physics, Analysis, Geometry |