Failure of the Crystalline Equivalence Principle for Weak Free Fermions

Autor:	Sheinbaum, Daniel, Antolín-Camarena, Omar
Rok vydání:	2024
Předmět:	Condensed Matter - Strongly Correlated Electrons Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	Interacting crystalline SPT phases were first classified by Thorngren and Else through the crystalline equivalence principle, suggesting that a spatial group symmetry can be treated as if it were an internal symmetry group. Using techniques from topology we elucidate how this principle holds for one of the proposals for the interacting bosonic case and yet fails for weak free fermion phases. Last we show how a variant of the principle does hold for strong crystalline free fermion phases. Comment: 3 pages, comments welcome!
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2408.07203 Zobrazit plný text záznamu View this record from Arxiv