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Exploring the consequences of the arrangement of spins and its space-group symmetry, a systematic theory is given to determine under what circumstances the ground state of a quantum magnet must be a nontrivial quantum spin liquid if no ordering is observed. This generalizes the famous Lieb-Schultz-Mattis theorem. The theory places the theorem and its generalizations into the context of the general theory of topological phases of matter with space-group symmetries.
Else et al. (Mon,) studied this question.
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