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arxiv: cond-mat/0503354 · v2 · submitted 2005-03-15 · ❄️ cond-mat.str-el · cond-mat.stat-mech

Supersymmetric Model of Spin-1/2 Fermions on a Chain

classification ❄️ cond-mat.str-el cond-mat.stat-mech
keywords fermionscorrelatedlatticemodelspin-1supersymmetricsupersymmetryanalysis
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In recent work, N=2 supersymmetry has been proposed as a tool for the analysis of itinerant, correlated fermions on a lattice. In this paper we extend these considerations to the case of lattice fermions with spin 1/2 . We introduce a model for correlated spin-1/2 fermions with a manifest N=4 supersymmetry, and analyze its properties. The supersymmetric ground states that we find represent holes in an anti-ferromagnetic background.

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