Fractional spectrum due to disorder and its effect on the ground state in the ensembles of interacting fermions.
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| Title: | Fractional spectrum due to disorder and its effect on the ground state in the ensembles of interacting fermions. |
|---|---|
| Authors: | Sinner, A.1 (AUTHOR) andreas.sinner@uni.opole.pl, Stephanovich, V.A.1 (AUTHOR), Pytel, B.1 (AUTHOR), Wójcik, A.1 (AUTHOR) |
| Source: | Nuclear Physics B. Dec2025, Vol. 1021, pN.PAG-N.PAG. 1p. |
| Subjects: | Phase transitions, Metal-insulator transitions, Renormalization group, Stochastic systems, Particle interactions, Density of states, Frequency spectra, Electric conductivity |
| Abstract: | We consider a disordered system of interacting fermions, for which we demonstrate, that depending on the relationship between the degree of disorder and real physical dimensionality d , this system undergoes a delocalization (e.g. a metal-insulator) phase transition. The effect of the disorder is accounted for by replacing the ordinary single-particle kinetic energy operator by that with a fractional spectrum. These fractional spectra represent the microscopic equivalent of the well-known non-trivial power-law decay of the low-energy density of states of non-interacting disordered systems. We develop a powerful approach to analyze the density of states in interacting disordered system, combining both the saddle-point and renormalization group methods. These two methods complement each other effectively. Through this approach, we identify a fixed point in the renormalization group flow of the model's parameters, which dictates the behavior of the system in the conducting phase. Additionally, we extend our analysis to include static conductivity. Our examination of the system's conductivity allows us to establish several strict conditions regarding the stability of the metallic state across different spatial dimensions d. Notably, we emphasize the unique significance of the two-dimensional case d = 2. We also compare our findings with salient experimental features observed in paradigmatic physical systems. [ABSTRACT FROM AUTHOR] |
| Copyright of Nuclear Physics B is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 189765424 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Fractional spectrum due to disorder and its effect on the ground state in the ensembles of interacting fermions. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Sinner%2C+A%2E%22">Sinner, A.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> andreas.sinner@uni.opole.pl</i><br /><searchLink fieldCode="AR" term="%22Stephanovich%2C+V%2EA%2E%22">Stephanovich, V.A.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Pytel%2C+B%2E%22">Pytel, B.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Wójcik%2C+A%2E%22">Wójcik, A.</searchLink><relatesTo>1</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Nuclear+Physics+B%22">Nuclear Physics B</searchLink>. Dec2025, Vol. 1021, pN.PAG-N.PAG. 1p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Phase+transitions%22">Phase transitions</searchLink><br /><searchLink fieldCode="DE" term="%22Metal-insulator+transitions%22">Metal-insulator transitions</searchLink><br /><searchLink fieldCode="DE" term="%22Renormalization+group%22">Renormalization group</searchLink><br /><searchLink fieldCode="DE" term="%22Stochastic+systems%22">Stochastic systems</searchLink><br /><searchLink fieldCode="DE" term="%22Particle+interactions%22">Particle interactions</searchLink><br /><searchLink fieldCode="DE" term="%22Density+of+states%22">Density of states</searchLink><br /><searchLink fieldCode="DE" term="%22Frequency+spectra%22">Frequency spectra</searchLink><br /><searchLink fieldCode="DE" term="%22Electric+conductivity%22">Electric conductivity</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We consider a disordered system of interacting fermions, for which we demonstrate, that depending on the relationship between the degree of disorder and real physical dimensionality d , this system undergoes a delocalization (e.g. a metal-insulator) phase transition. The effect of the disorder is accounted for by replacing the ordinary single-particle kinetic energy operator by that with a fractional spectrum. These fractional spectra represent the microscopic equivalent of the well-known non-trivial power-law decay of the low-energy density of states of non-interacting disordered systems. We develop a powerful approach to analyze the density of states in interacting disordered system, combining both the saddle-point and renormalization group methods. These two methods complement each other effectively. Through this approach, we identify a fixed point in the renormalization group flow of the model's parameters, which dictates the behavior of the system in the conducting phase. Additionally, we extend our analysis to include static conductivity. Our examination of the system's conductivity allows us to establish several strict conditions regarding the stability of the metallic state across different spatial dimensions d. Notably, we emphasize the unique significance of the two-dimensional case d = 2. We also compare our findings with salient experimental features observed in paradigmatic physical systems. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Nuclear Physics B is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.nuclphysb.2025.117201 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 1 StartPage: N.PAG Subjects: – SubjectFull: Phase transitions Type: general – SubjectFull: Metal-insulator transitions Type: general – SubjectFull: Renormalization group Type: general – SubjectFull: Stochastic systems Type: general – SubjectFull: Particle interactions Type: general – SubjectFull: Density of states Type: general – SubjectFull: Frequency spectra Type: general – SubjectFull: Electric conductivity Type: general Titles: – TitleFull: Fractional spectrum due to disorder and its effect on the ground state in the ensembles of interacting fermions. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Sinner, A. – PersonEntity: Name: NameFull: Stephanovich, V.A. – PersonEntity: Name: NameFull: Pytel, B. – PersonEntity: Name: NameFull: Wójcik, A. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 12 Text: Dec2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 05503213 Numbering: – Type: volume Value: 1021 Titles: – TitleFull: Nuclear Physics B Type: main |
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