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Topological theory of Lieb-Schultz-Mattis theorems in quantum spin systems

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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… Click to show full abstract

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.

Keywords: theory; quantum spin; schultz mattis; lieb schultz

Journal Title: Physical Review B
Year Published: 2020

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