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We generalize the existing finite-size criteria for spectral gaps of frustration-free spin systems to $D>2$ dimensions.
H. Abdul-Rahman, M. Lemm, A. Lucia, B. Nachtergaele and A. Young,
1901
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M. J. Kastoryano and A. Lucia,
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J. Bausch, T. Cubitt, A. Lucia, D. Perez-Garcia,
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