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Spin chains viewed as the fermionic parts of supersymmetric quantum mechanical models

Institution:	1. Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, and Center for Light-Matter Interaction, Tel Aviv University, P.O. Box 39040 Tel Aviv, Israel;2. Instituto de Alta Investigación, Universidad de Tarapacá, Casilla 7D, Arica, Chile;1. Department of Physics, University of Washington, Seattle, WA 98195, USA;2. Department of Physics, SERC, Temple University, Philadelphia, PA 19122, USA;3. Dipartimento di Fisica, Università degli Studi di Pavia, I-27100 Pavia, Italy;4. Istituto Nazionale di Fisica Nucleare, Sezione di Pavia, I-27100 Pavia, Italy;5. CPHT, CNRS, Ecole Polytechnique, Institut Polytechnique de Paris, Route de Saclay, 91128 Palaiseau, France

Abstract:	This paper shows that (anisotropic) spin chains of XY type arise by matrix representation of the fermionic terms of hamiltonians of quantum systems whose supersymmetry involves in general no more than a single hermitian supercharge. It provides some background relevant to this type of supersymmetry and makes applications to such chains including those which admit quantum groups as invariance algebras.

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