Lattice fermion models with supersymmetry
By P. Fendley, B. Nienhuis, Kareljan Schoutens. 2003
165 citations recorded by the source corpus.
We investigate a family of lattice models with manifest 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- 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 . We argue that these models include critical points described by the superconformal minimal models.
Subfields: Condensed Matter Physics, Geometry and Topology, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/e71642fa278d0fa8575329bb41e769d9a417a023
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In Condensed Matter Physics
In Geometry and Topology
In Nuclear and High Energy Physics
Citations in the corpus
- Supersymmetry, lattice fermions, independence complexes and cohomology theory (2009, background): “The model has the same thermodynamic equations as the XXZ chain at Δ = −1/2, so the two models coincide (the mapping can be found in [2]).”