Lattice fermion models with supersymmetry

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dc.creatorFendley, Paul
dc.creatorNienhuis, Bernard
dc.creatorSchoutens, Kareljan
dc.date2003-07-14
dc.date2003-09-21
dc.date.accessioned2026-07-07T10:48:09Z
dc.date.available2026-07-07T10:48:09Z
dc.descriptionWe investigate a family of lattice models with manifest N=2 supersymmetry. The models describe fermions on a 1D lattice, subject to the constraint that no more than k consecutive lattice sites may be occupied. We discuss the special properties arising from the supersymmetry, and present Bethe ansatz solutions of the simplest models. We display the connections of the k=1 model with the spin-1/2 antiferromagnetic XXZ chain at Δ=-1/2, and the k=2 model with both the su(2|1)-symmetric tJ model in the ferromagnetic regime and the integrable spin-1 XXZ chain at Δ=-1/\sqrt{2}. We argue that these models include critical points described by the superconformal minimal models.
dc.description28 pages. v2: added new result on mapping to XXZ chain
dc.identifierhttps://arxiv.org/abs/cond-mat/0307338
dc.identifierhttp://arxiv.org/abs/cond-mat/0307338
dc.identifierJ.Phys.A36:12399-12424,2003
dc.identifierdoi:10.1088/0305-4470/36/50/004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183776
dc.subjectStrongly Correlated Electrons
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.titleLattice fermion models with supersymmetry
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