Eigenvectors under a generic perturbation: non-perturbative results from the random matrix approach

Truong, K. and Ossipov, A. (2016) Eigenvectors under a generic perturbation: non-perturbative results from the random matrix approach. EPL, 116 (3). 37002/1-37002/6. ISSN 1286-4854

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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.

Item Type: Article
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: 10.1209/0295-5075/116/37002
Depositing User: Ossipov, Alexander
Date Deposited: 16 Dec 2016 11:26
Last Modified: 18 Oct 2017 19:00
URI: http://eprints.nottingham.ac.uk/id/eprint/39396

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