| Naslov: | Spectral properties of Levy Rosenzweig-Porter model via supersymmetric approach |
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| Avtorji: | ID Safonova, Elizaveta (Avtor)
ID Feigel’man, Mikhail V., Institut "Jožef Stefan" (Avtor)
ID Kravtsov, Vladimir (Avtor) |
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| Datoteke: |  URL - Izvorni URL, za dostop obiščite https://www.scipost.org/10.21468/SciPostPhys.18.1.010
 PDF - Predstavitvena datoteka, prenos (630,46 KB)
MD5: 603E66BD15E4464441D11DECB7740201
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| Jezik: | Angleški jezik |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: |  IJS - Institut Jožef Stefan
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| Povzetek: | By using the Efetov's super-symmetric formalism we computed analytically the mean spectral density ρ (E) for the Lévy and the Lévy -Rosenzweig-Porter random matrices which off-diagonal elements are strongly non-Gaussian with power-law tails. This makes the standard Hubbard-Stratonovich transformation inapplicable to such problems. We used, instead, the functional Hubbard-Stratonovich transformation which allowed to solve the problem analytically for large sizes of matrices. We show that ρ (E) depends crucially on the control parameter that drives the system through the transition between the ergodic and the fractal phases and it can be used as an order parameter. |
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| Ključne besede: | supersymmetry, random matrix theory, sigma models |
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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Objavljena publikacija |
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| Poslano v recenzijo: | 05.09.2024 |
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| Datum sprejetja članka: | 22.11.2024 |
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| Datum objave: | 10.01.2025 |
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| Založnik: | SciPost Foundation |
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| Leto izida: | 2025 |
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| Št. strani: | str. 1-14 |
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| Številčenje: | Vol. 18, iss. 1, [article no.] 010 |
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| Izvor: | Nizozemska |
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| PID: | 20.500.12556/DiRROS-24556  |
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| UDK: | 53 |
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| ISSN pri članku: | 2542-4653 |
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| DOI: | 10.21468/SciPostPhys.18.1.010 |
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| COBISS.SI-ID: | 260202243 |
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| Avtorske pravice: | Copyright E. Safonova et al. |
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| Opomba: | Nasl. z nasl. zaslona;
Opis vira z dne 5. 12. 2025;
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| Datum objave v DiRROS: | 05.12.2025 |
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| Število ogledov: | 106 |
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| Število prenosov: | 46 |
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| Metapodatki: |    |
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