TY - JOUR
T1 - Chaos in fermionic many-body systems and the metal-insulator transition
AU - Papenbrock, T.
AU - Pluhař, Z.
AU - Tithof, J.
AU - Weidenmüller, H. A.
PY - 2011/3/24
Y1 - 2011/3/24
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevE.83.031130
DO - 10.1103/PhysRevE.83.031130
M3 - Article
AN - SCOPUS:79961077080
SN - 1539-3755
VL - 83
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 3
M1 - 031130
ER -