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Space group symmetries and low lying excitations of many-body systems at integer fillings

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We show that many-body systems with conserved particle number which have the symmetries corresponding to a nonsymmorphic space group have low lying excitations for certain integer values of the particle number per unit cell. These results may be interpreted as a generalization of some band touching theorems to interacting systems.

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Symmetry Spans and Enforced Gaplessness

cond-mat.str-el · 2026-02-12 · unverdicted · novelty 8.0

Symmetry spans enforce gaplessness when a symmetry E embedded into two larger symmetries C and D has no compatible gapped phase that restricts from both.

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  • Symmetry Spans and Enforced Gaplessness cond-mat.str-el · 2026-02-12 · unverdicted · none · ref 7 · internal anchor

    Symmetry spans enforce gaplessness when a symmetry E embedded into two larger symmetries C and D has no compatible gapped phase that restricts from both.