English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We study quantum many-body systems in the presence of an exotic antiunitarytranslation or inversion symmetry involving time reversal. Based on asymmetry-twisting method and spectrum robustness,we propose that a half-integerspin chain which respects any of these two antiunitary crystalline symmetriesin addition to the discrete $\mathbb{Z}_2\times\mathbb{Z}_2$ globalspin-rotation symmetry must either be gapless or possess degenerate groundstates. This explains the gaplessness of a class of chiral spin models notindicated by the Lieb-Schultz-Mattis (LSM) theorem and its known extensions.Moreover, we present symmetry classes with minimal sets of generators that givenontrivial LSM-type constraints, argued by the bulk-boundary correspondence in2d symmetry-protected topological phases as well as lattice homotopy. Ourresults for detecting the ingappability of 1d quantum magnets from theinterplay between spin-rotation symmetries and magnetic space groups areapplicable to systems with a broader class of spin interactions, including theDzyaloshinskii-Moriya and triple-product interactions.

Lieb-Schultz-Mattis theorem for 1d quantum magnets with antiunitary translation and inversion symmetries