K. Truong
Eigenvectors under a generic perturbation: non-perturbative results from the random matrix approach
Truong, K.; Ossipov, A.
Authors
A. Ossipov
Abstract
We consider eigenvectors of the Hamiltonian H0 perturbed by a generic perturbation V modelled by a random matrix from the Gaussian Unitary Ensemble (GUE). Using the super-symmetry approach we derive analytical results for the statistics of the eigenvectors, which are non-perturbative in V and valid for an arbitrary deterministic H0. Further we generalise them to the case of a random H0, focusing, in particular, on the Rosenzweig-Porter model. Our analytical predictions are confirmed by numerical simulations.
Citation
Truong, K., & Ossipov, A. (2016). Eigenvectors under a generic perturbation: non-perturbative results from the random matrix approach. EPL, 116(3), Article 37002. https://doi.org/10.1209/0295-5075/116/37002
Journal Article Type | Article |
---|---|
Acceptance Date | Nov 21, 2016 |
Online Publication Date | Dec 9, 2016 |
Publication Date | Nov 1, 2016 |
Deposit Date | Dec 16, 2016 |
Publicly Available Date | Dec 16, 2016 |
Journal | EPL (Europhysics Letters) |
Print ISSN | 0295-5075 |
Electronic ISSN | 1286-4854 |
Publisher | EPL Association |
Peer Reviewed | Peer Reviewed |
Volume | 116 |
Issue | 3 |
Article Number | 37002 |
DOI | https://doi.org/10.1209/0295-5075/116/37002 |
Public URL | https://nottingham-repository.worktribe.com/output/835910 |
Publisher URL | http://dx.doi.org/10.1209/0295-5075/116/37002 |
Contract Date | Dec 16, 2016 |
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