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arxiv: 1212.2944 · v1 · submitted 2012-12-12 · ❄️ cond-mat.str-el

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

Rahul Roy
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classification ❄️ cond-mat.str-el
keywords systemsexcitationsgroupintegerlyingmany-bodynumberparticle
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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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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Symmetry Spans and Enforced Gaplessness

    cond-mat.str-el 2026-02 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.