Direct Scaling Analysis of Fermionic Multiparticle Correlated Anderson Models with Infinite-Range Interaction
We adapt the method of direct scaling analysis developed earlier for single-particle Anderson models, to the fermionic multiparticle models with finite or infinite interaction on graphs. Combined with a recent eigenvalue concentration bound for multiparticle systems, the new method leads to a simple...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/2129682 |
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| _version_ | 1832560200651898880 |
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| author | Victor Chulaevsky |
| author_facet | Victor Chulaevsky |
| author_sort | Victor Chulaevsky |
| collection | DOAJ |
| description | We adapt the method of direct scaling analysis developed earlier for single-particle Anderson models, to the fermionic multiparticle models with finite or infinite interaction on graphs. Combined with a recent eigenvalue concentration bound for multiparticle systems, the new method leads to a simpler proof of the multiparticle dynamical localization with optimal decay bounds in a natural distance in the multiparticle configuration space, for a large class of strongly mixing random external potentials. Earlier results required the random potential to be IID. |
| format | Article |
| id | doaj-art-a7701a7a4696451a877d2ec6c9f33469 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-a7701a7a4696451a877d2ec6c9f334692025-02-03T01:28:12ZengWileyAdvances in Mathematical Physics1687-91201687-91392016-01-01201610.1155/2016/21296822129682Direct Scaling Analysis of Fermionic Multiparticle Correlated Anderson Models with Infinite-Range InteractionVictor Chulaevsky0Département de Mathématiques, Université de Reims, Moulin de la Housse, BP 1039, 51687 Reims Cedex 2, FranceWe adapt the method of direct scaling analysis developed earlier for single-particle Anderson models, to the fermionic multiparticle models with finite or infinite interaction on graphs. Combined with a recent eigenvalue concentration bound for multiparticle systems, the new method leads to a simpler proof of the multiparticle dynamical localization with optimal decay bounds in a natural distance in the multiparticle configuration space, for a large class of strongly mixing random external potentials. Earlier results required the random potential to be IID.http://dx.doi.org/10.1155/2016/2129682 |
| spellingShingle | Victor Chulaevsky Direct Scaling Analysis of Fermionic Multiparticle Correlated Anderson Models with Infinite-Range Interaction Advances in Mathematical Physics |
| title | Direct Scaling Analysis of Fermionic Multiparticle Correlated Anderson Models with Infinite-Range Interaction |
| title_full | Direct Scaling Analysis of Fermionic Multiparticle Correlated Anderson Models with Infinite-Range Interaction |
| title_fullStr | Direct Scaling Analysis of Fermionic Multiparticle Correlated Anderson Models with Infinite-Range Interaction |
| title_full_unstemmed | Direct Scaling Analysis of Fermionic Multiparticle Correlated Anderson Models with Infinite-Range Interaction |
| title_short | Direct Scaling Analysis of Fermionic Multiparticle Correlated Anderson Models with Infinite-Range Interaction |
| title_sort | direct scaling analysis of fermionic multiparticle correlated anderson models with infinite range interaction |
| url | http://dx.doi.org/10.1155/2016/2129682 |
| work_keys_str_mv | AT victorchulaevsky directscalinganalysisoffermionicmultiparticlecorrelatedandersonmodelswithinfiniterangeinteraction |