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• W2915101044 abstract "We generalize the existing finite-size criteria for spectral gaps of frustration-free spin systems to $D>2$ dimensions. We obtain a local gap threshold of $frac{3}{n}$, independent of $D$, for nearest-neighbor interactions. The $frac{1}{n}$ scaling persists for arbitrary finite-range interactions in $mathbb Z^3$. The key observation is that there is more flexibility in Knabe's combinatorial approach if one employs the operator Cauchy-Schwarz inequality." @default.
• W2915101044 created "2019-03-02" @default.
• W2915101044 creator A5036487595 @default.
• W2915101044 date "2019-02-19" @default.
• W2915101044 modified "2023-09-27" @default.
• W2915101044 title "Finite-size criteria for spectral gaps in $D$-dimensional quantum spin systems" @default.
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• W2915101044 hasPublicationYear "2019" @default.
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