Integrable supersymmetric chain without particle conservation
Jan de Gier, Gyorgy Z. Feher, Bernard Nienhuis, Magdalena, Rusaczonek

TL;DR
This paper presents a new integrable supersymmetric lattice model that breaks fermion conservation but maintains fermion-hole symmetry, featuring exponential degeneracy and zero modes similar to Cooper pairs.
Contribution
The authors introduce a novel integrable supersymmetric chain that violates fermion conservation while exhibiting unique degeneracy and zero modes.
Findings
Exponential degeneracy in all eigenstates including groundstate
Presence of zero modes akin to Cooper pairs
Model exhibits fermion-hole symmetry
Abstract
We introduce a new integrable supersymmetric lattice chain which violates fermion conservation and exhibits fermion-hole symmetry. The model displays exponential degeneracy in every eigenstate including the groundstate. This degeneracy is expressed in the possibility to create any number of zero modes reminiscent of Cooper pairs.
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