Metal-insulator transition by suppression of spin fluctuationsH. Hafermann1, M. I. Katsnelson2 and A. I. Lichtenstein1
1 I. Institute for Theoretical Physics, University of Hamburg - 20355 Hamburg, Germany, EU
2 Institute for Molecules and Materials, Radboud University of Nijmegen - 6525 AJ Nijmegen, The Netherlands, EU
received 23 September 2008; accepted in final form 20 January 2009; published February 2009
published online 13 February 2009
We have studied the metal-insulator transition in the antiferromagnetic (AF) two-plane Hubbard model in infinite dimensions as a function of the perpendicular hopping between the two planes. In the weak-coupling regime the system undergoes a transition from a metallic to a band insulating state. For strong coupling, a transition from an AF insulating state to a singlet state occurs at , which is consistent with a competition between intra- and inter-plane Heisenberg exchange. We calculate the spin-correlation functions of the model and show that the picture of a transition to a singlet insulating state remains valid for intermediate coupling, independent of the presence of long-range AF order. The quasiparticle peak continuously disappears due to the suppression of the local spin fluctuations by formation of the coherent singlet state. The transition is accompanied by the opening of a spin gap in the dynamical susceptibility.
71.27.+a - Strongly correlated electron systems; heavy fermions.
71.30.+h - Metal-insulator transitions and other electronic transitions.
75.20.Hr - Local moment in compounds and alloys; Kondo effect, valence fluctuations, heavy fermions .
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