Supersymmetry in an interacting Majorana model on the kagome lattice

Abstract

We construct a supersymmetric model of interacting Majorana fermions on the kagome lattice. In the infinite-coupling limit, the model exhibits an extensively degenerate ground state manifold separated in two topological sectors, in addition to two parity supersectors. An exact solution for thin-torus geometries allows us to analytically construct the entire zero-energy ground state manifold. Upon inclusion of hopping terms with energy scale $g$, the supersymmetry is spontaneously broken with the ground state energy density scaling as $g^4$. We also briefly discuss the non-interacting limit of the model, which exhibits a zero-energy flat band and Majorana Chern bands.

arXiv comment11 pages, 8 figures

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• From $G_2$ to $SO(8)$: Emergence and reminiscence of supersymmetry and triality
• Emergent spacetime supersymmetry at 2D fractionalized quantum criticality