Chaos in fermionic many-body systems and the metal-insulator transition
We show that finite Fermi systems governed by a mean field and a few-body interaction generically possess spectral fluctuations of the Wigner-Dyson type and are, thus, chaotic. Our argument is based on an analogy to the metal-insulator transition. We construct a sparse random-matrix scaffolding ense...
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| Veröffentlicht in: | Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2011-03, Vol.83 (3) |
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| container_title | Physical review. E, Statistical, nonlinear, and soft matter physics |
| container_volume | 83 |
| creator | Papenbrock, T. Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831 Pluhar, Z. Tithof, J. Weidenmueller, H. A. |
| description | We show that finite Fermi systems governed by a mean field and a few-body interaction generically possess spectral fluctuations of the Wigner-Dyson type and are, thus, chaotic. Our argument is based on an analogy to the metal-insulator transition. We construct a sparse random-matrix scaffolding ensemble (ScE) that mimics this transition. Our claim then follows from the fact that the generic random-matrix ensemble modeling a fermionic interacting many-body system is much less sparse than ScE. |
| doi_str_mv | 10.1103/PHYSREVE.83.031130 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 1539-3755 |
| ispartof | Physical review. E, Statistical, nonlinear, and soft matter physics, 2011-03, Vol.83 (3) |
| issn | 1539-3755 1550-2376 |
| language | eng |
| recordid | cdi_osti_scitechconnect_21560067 |
| source | American Physical Society Journals |
| subjects | CHAOS THEORY CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY ELECTRICAL EQUIPMENT ELECTRICAL INSULATORS ELEMENTS FERMIONS FLUCTUATIONS INTERACTIONS MANY-BODY PROBLEM MATHEMATICS MATRICES MEAN-FIELD THEORY METALS PHYSICS OF ELEMENTARY PARTICLES AND FIELDS RANDOMNESS SIMULATION SPECTRA VARIATIONS |
| title | Chaos in fermionic many-body systems and the metal-insulator transition |
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