Magnetism and infrared divergence in a Hubbard-phonon interacting system

Details Magnetism and infrared divergence in a Hubbard-phonon interacting system Magnetism and infrared divergence in a Hubbard-phonon interacting system

2010-08-12

arxiv.org/abs/1008.2056v2

Physics

Mathematical Physics

9 pages

Scientific paper

We show that a finite Hubbard-phonon interacting system has ferromagnetic or unique spin-singlet ground state under the infrared singular condition. The key tool is a unitary transformation introduced by Arai and Hirokawa. We construct a concrete infrared singular representation using the operator algebraic method. The method is essentially same as one for the van Hove model using the Wightman functional method.

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