Phys. Rev. Lett. 89, 134101 (2002) [4 pages]Duality Between the Weak and Strong Interaction Limits for Randomly Interacting FermionsReceived 29 September 2001; published 5 September 2002 We establish the existence of a duality transformation for generic models of interacting fermions with two-body interactions. The eigenstates at weak and strong interaction U possess similar statistical properties when expressed in the U=0 and U=∞ eigenstates bases, respectively. This implies the existence of a duality point Ud where the eigenstates have the same spreading in both bases. Ud is surrounded by an interval of finite width which is characterized by a non-Lorentzian spreading of the strength function in both bases. Scaling arguments predict the survival of this intermediate regime as the number of particles is increased. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.89.134101
DOI:
10.1103/PhysRevLett.89.134101
PACS:
05.45.Mt, 24.10.Cn, 71.10.–w, 73.63.Kv
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