Supersymmetry and multicriticality in a ladder of constrained fermions

Understand

Supersymmetric lattice models of constrained fermions are known to feature exotic phenomena such as superfrustration, with an extensive degeneracy of ground states, the nature of which is however generally unknown.

• Here we address this issue by considering a superfrustrated model, which we deform from the supersymetric point.
• By numerically studying its two-parameter phase diagram, we reveal a rich phenomenology.
• The vicinity of the supersymmetric point features period-4 and period-5 density waves which are connected by a floating phase (incommensurate Luttinger liquid) with smoothly varying density.