Details

Autor(en) / Beteiligte

• Xiao, Rong
• Zhao, Y. X.

Titel

Revealing the spatial nature of sublattice symmetry

Ist Teil von

• Nature communications, 2024-05, Vol.15 (1), p.3787-3787, Article 3787

Ort / Verlag

London: Nature Publishing Group UK

Erscheinungsjahr

2024

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• The sublattice symmetry on a bipartite lattice is commonly regarded as the chiral symmetry in the AIII class of the tenfold Altland–Zirnbauer classification. Here, we reveal the spatial nature of sublattice symmetry and show that this assertion holds only if the periodicity of primitive unit cells agrees with that of the sublattice labeling. In cases where the periodicity does not agree, sublattice symmetry is represented as a glide reflection in energy–momentum space, which inverts energy and simultaneously translates some k by π , leading to substantially different physics. Particularly, it introduces novel constraints on zero modes in semimetals and completely alters the classification table of topological insulators compared to class AIII. Notably, the dimensions corresponding to trivial and nontrivial classifications are switched, and the nontrivial classification becomes Z 2 instead of Z . We have applied these results to several models, including the Hofstadter model both with and without dimerization. Sublattice symmetry has long been synonymous with chiral symmetry when it comes to topological classification. Here, the authors challenge this notion by systematically investigating sublattice symmetry and revealing its spatial nature with a precise description in terms of symmetry algebra and representation.