Supersymmetric Models for Fermions on a Lattice

Abstract

We investigate the large-N behaviour of simple examples of supersymmetric interactions for fermions on a lattice. Witten's supersymmetric quantum mechanics and the BCS model appear just as two different aspects of one and the same model. For the BCS model, supersymmetry is only respected in a coherent superposition of Bogoliubov states. In this coherent superposition mesoscopic observables show better stability properties than in a Bogoliubov state.

17 pages, LATeX, no figures

Cited by in corpus (4)

• Classification of irreps and invariants of the N-extended Supersymmetric Quantum Mechanics
• Supersymmetric Many-Body Systems from Partial Symmetries: Integrability, Localization and Scrambling
• Order and supersymmetry at high filling zero energy states on the triangular lattice
• Nonlinear Bogolyubov-Valatin transformations: 2 modes