Universal distributions from non-Hermitian perturbation of zero modes
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- PhysRevE.101.032117
Final published version, 731 KB, PDF document
Hermitian operators with exact zero modes subject to non-Hermitian perturbations are considered. Specific focus is on the distribution of the former zero eigenvalues of the Hermitian operators. The broadening of these zero modes is found to follow an elliptic Gaussian random matrix ensemble of fixed size, where the symmetry class of the perturbation determines the behavior of the modes. This distribution follows from a central limit theorem of matrices and is shown to be robust to deformations.
Original language | English |
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Article number | 032117 |
Journal | Physical Review E |
Volume | 101 |
Issue number | 3 |
Number of pages | 12 |
ISSN | 1539-3755 |
DOIs | |
Publication status | Published - 13 Mar 2020 |
- QCD DIRAC OPERATOR, RANDOM MATRICES, MAJORANA FERMIONS, DENSITY, SPECTRUM
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