Eigenfunction distribution for the Rosenzweig-Porter model

Eugene Bogomolny, Martin Sieber

Research output: Contribution to journalArticle (Academic Journal)peer-review

32 Citations (Scopus)
306 Downloads (Pure)

Abstract

The statistical distribution of eigenfunctions for the Rosenzweig-Porter model is derived for the region where eigenfunctions have fractal behaviour. The result is based on simple physical ideas and leads to transparent explicit formulas which agree very well with numerical calculations. It constitutes a rare case where a non-trivial eigenfunction distribution is obtained in a closed form.
Original languageEnglish
Article number032139
Number of pages5
JournalPhysical Review E
Volume98
Issue number3
Early online date27 Sept 2018
DOIs
Publication statusPublished - 27 Sept 2018

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