| Title: | Spectral properties of Levy Rosenzweig-Porter model via supersymmetric approach |
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| Authors: | ID Safonova, Elizaveta (Author)
ID Feigel’man, Mikhail V., Institut "Jožef Stefan" (Author)
ID Kravtsov, Vladimir (Author) |
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| Files: |  URL - Source URL, visit https://www.scipost.org/10.21468/SciPostPhys.18.1.010
 PDF - Presentation file, download (630,46 KB)
MD5: 603E66BD15E4464441D11DECB7740201
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  IJS - Jožef Stefan Institute
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| Abstract: | 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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| Keywords: | supersymmetry, random matrix theory, sigma models |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Submitted for review: | 05.09.2024 |
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| Article acceptance date: | 22.11.2024 |
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| Publication date: | 10.01.2025 |
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| Publisher: | SciPost Foundation |
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| Year of publishing: | 2025 |
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| Number of pages: | str. 1-14 |
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| Numbering: | Vol. 18, iss. 1, [article no.] 010 |
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| Source: | Nizozemska |
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| PID: | 20.500.12556/DiRROS-24556  |
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| UDC: | 53 |
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| ISSN on article: | 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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| Copyright: | Copyright E. Safonova et al. |
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| Note: | Nasl. z nasl. zaslona;
Opis vira z dne 5. 12. 2025;
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| Publication date in DiRROS: | 05.12.2025 |
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| Views: | 107 |
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| Downloads: | 47 |
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