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Eigenfunction distribution for the Rosenzweig-Porter model

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 27 Sep 2018Embargo end date: 01 Jan 2018 United Kingdom English Publisher:American Physical Society (APS)Journal:Physical Review E, volume 98 (issn: 2470-0045, eissn: 2470-0053, Copyright policy )
Authors: Bogomolny, Eugene; Sieber, Martin;

doi: 10.1103/physreve.98.032139 , 10.48550/arxiv.1804.04655

arXiv: 1804.04655

handle: 1983/411ffca3-4068-48a6-8ac9-e42549c72dd2

Eigenfunction distribution for the Rosenzweig-Porter model

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.

5 pages, 4 figures

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United Kingdom
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Keywords

Quantum Physics, 500, FOS: Physical sciences, Mathematical Physics (math-ph), [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph], Quantum Physics (quant-ph), [PHYS.QPHY] Physics [physics]/Quantum Physics [quant-ph], Mathematical Physics, 510

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
43
Top 10%
Top 10%
Top 10%
Green