Two-dimensional topological paramagnets protected by $\mathbb{Z}_3$ symmetry: Properties of the boundary Hamiltonian

Autor:	Topchyan, Hrant, Iugov, Vasilii, Mirumyan, Mkhitar, Hakobyan, Tigran S., Sedrakyan, Tigran A., Sedrakyan, Ara G.
Rok vydání:	2023
Předmět:	Condensed Matter - Strongly Correlated Electrons Condensed Matter - Statistical Mechanics High Energy Physics - Theory Quantum Physics
Druh dokumentu:	Working Paper
Popis:	We systematically construct two-dimensional $\mathbb{Z}_3$ symmetry-protected topological (SPT) three-state Potts paramagnets with gapless edge modes on a triangular lattice. First, we study microscopic lattice models for the gapless edge and, using the density-matrix renormalization group (DMRG) approach, investigate the finite size scaling of the low-lying excitation spectrum and the entanglement entropy. Based on the obtained results, we identify the universality class of the critical edge, namely the corresponding conformal field theory and the central charge. Finally, we discuss the inherent symmetries of the edge models and the emergent winding symmetry distinguishing between two SPT phases. As a result, the two topologically nontrivial and the trivial phases define a general one-dimensional chain supporting a tricriticality, which we argue supports a gapless SPT order in one dimension. Comment: 20 pages, 8 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2312.15095 Zobrazit plný text záznamu View this record from Arxiv