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• W3103882364 abstract "For a large class of finite-range quantum spin models with half-integer spins, we prove that uniqueness of the ground state implies the existence of a low-lying excited state. For systems of linear size L, with arbitrary finite dimension, we obtain an upper bound on the excitation energy (i.e., the gap above the ground state) of the form (C log L)/L. This result can be regarded as a multi-dimensional Lieb-Schultz-Mattis theorem [14] and provides a rigorous proof of the main result in [8]." @default.
• W3103882364 created "2020-11-23" @default.
• W3103882364 creator A5055495234 @default.
• W3103882364 creator A5082684634 @default.
• W3103882364 date "2007-09-09" @default.
• W3103882364 modified "2023-09-30" @default.
• W3103882364 title "A Multi-Dimensional Lieb-Schultz-Mattis Theorem" @default.
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• W3103882364 doi "https://doi.org/10.1007/s00220-007-0342-z" @default.
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