Localization to ergodic transitions: is Rosenzweig-Porter ensemble the hidden skeleton?

The presence of local interactions and wave-localization phenomena is quite generic to a wide range of complex systems. Based on the evidence of two transitions similar to those in many body states as well as single particle states, the work by Kravtsov et al (2015 New J. Phys. 17 122002) indicates...

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Bibliographic Details
Published inNew journal of physics Vol. 18; no. 2; pp. 21004 - 21006
Main Author Shukla, Pragya
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 02.02.2016
Subjects
Complex systems
Ergodic processes
Localization
multifractal
Physics
random matrices
universality
Variation
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ISSN1367-2630
1367-2630
DOI10.1088/1367-2630/18/2/021004

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Summary:The presence of local interactions and wave-localization phenomena is quite generic to a wide range of complex systems. Based on the evidence of two transitions similar to those in many body states as well as single particle states, the work by Kravtsov et al (2015 New J. Phys. 17 122002) indicates the strong prospect of Rosenzweig-Porter ensemble to serve as the good model for many particle localization as well as that of single particle. With already well-known statistical universality of ergodic dynamics, this also reveals the next level in the hierarchy of the universality of statistical fluctuations.
Bibliography:NJP-104351
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ISSN:1367-2630
1367-2630
DOI:10.1088/1367-2630/18/2/021004