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Anatomy of the eige...
Anatomy of the eigenstates distribution : A quest for a genuine multifractality
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- Kutlin, Anton (author)
- Abdus Salam Int Ctr Theoret Phys, Str Costiera 11, I-34151 Trieste, Italy.; Max Planck Inst Phys Komplexer Syst, Nothnitzer Str 38, D-01187 Dresden, Germany.
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- Khaymovich, Ivan, 1986- (author)
- Stockholms universitet,Nordiska institutet för teoretisk fysik (Nordita),Russian Academy of Sciences, Russia,Nordita SU; Russian Acad Sci, Inst Phys Microstruct, GSP-105, Nizhnii Novgorod 603950, Russia.
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Abdus Salam Int Ctr Theoret Phys, Str Costiera 11, I-34151 Trieste, Italy; Max Planck Inst Phys Komplexer Syst, Nothnitzer Str 38, D-01187 Dresden, Germany. Nordiska institutet för teoretisk fysik (Nordita) (creator_code:org_t)
- Stichting SciPost, 2024
- 2024
- English.
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In: SciPost Physics. - : Stichting SciPost. - 2542-4653. ; 16:1
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https://doi.org/10.2...
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https://urn.kb.se/re...
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Abstract
Subject headings
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- Motivated by a series of recent works, an interest in multifractal phases has risen as they are believed to be present in the Many-Body Localized (MBL) phase and are of high demand in quantum annealing and machine learning. Inspired by the success of the Rosenzweig-Porter (RP) model with Gaussian-distributed hopping elements, several RP -like ensembles with the fat-tailed distributed hopping terms have been proposed, with claims that they host the desired multifractal phase. In the present work, we develop a general (graphical) approach allowing a self-consistent analytical calculation of frac-tal dimensions for a generic RP model and investigate what features of the RP Hamil-tonians can be responsible for the multifractal phase emergence. We conclude that the only feature contributing to a genuine multifractality is the on-site energies' distribution, meaning that no random matrix model with a statistically homogeneous distribution of diagonal disorder and uncorrelated off-diagonal terms can host a multifractal phase.
Subject headings
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
- NATURVETENSKAP -- Fysik -- Den kondenserade materiens fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Condensed Matter Physics (hsv//eng)
Publication and Content Type
- ref (subject category)
- art (subject category)
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