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• W2105020931 abstract "We perform exact-diagonalization studies in $d=2$ dimensions for the Fendley and Schoutens model of hard-core and nearest-neighbor-excluding fermions that displays an exact nonrelativistic supersymmetry. Using clusters of all possible shapes up to 46 sites, we systematically study the behavior of the ground-state phase diagram as a function of filling. We focus on the highly degenerate zero-energy states found at fillings between $1/7$ and $ensuremath{sim}$1/5. At the lower end of that interval, at filling $1/7$, we explicitly show that the ground states are gapped crystals. Consistent with previous suggestions, we find that the extensive entropy of zero states peaks at a filling of $ensuremath{sim}$0.178. At the higher end of the interval, we find zero-energy ground states at fillings above $1/5$, contrary to previous expectations, which display nontrivial amplitude degeneracies." @default.
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• W2105020931 date "2012-11-05" @default.
• W2105020931 modified "2023-09-23" @default.
• W2105020931 title "Order and supersymmetry at high filling zero-energy states on the triangular lattice" @default.
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• W2105020931 doi "https://doi.org/10.1103/physrevb.86.195105" @default.
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