Non-Abelian fusion rules from Abelian systems with SPT phases and graph topological order

Autor:	de Resende, M. F. Araujo, Jimenez, J. P. Ibieta, Espiro, J. Lorca
Rok vydání:	2018
Předmět:	Quantum Physics Condensed Matter - Strongly Correlated Electrons Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	Since Ref. [1] shows the emergence of non-Abelian fusion rules in some examples of a class of Abelian models, but does not prove whether these rules also exist in other cases, the purpose of this paper is to present such proof emphasizing the importance of the existence of these rules. By the way, as the ground state of these models can be degenerate as a function of their algebra and, hence, they can support some symmetry-protected topological (SPT) phases, we prove that these non-Abelian fusion rules are always necessary for these SPT phase transitions to occur via a condensation mechanism or/and some global symmetry breaking. Comment: 20 pages, 2 figures; 3 tables; submitted to the "Annals of Physics" for publication
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1808.09537 Zobrazit plný text záznamu View this record from Arxiv