2019/09/30 by Meng-Yuan Li, Peng Ye · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Excitation #Excited state #Fracton #Lattice (music) #Mathematics #Ministate #Physics #Quantum #Quantum many-body systems #Quantum mechanics #Statistical physics #Theoretical physics #Topological Materials and Phenomena #cond-mat.stat-mech #cond-mat.str-el #hep-th
paper · pdf · doi:10.1103/physrevb.101.245134
published as Phys. Rev. B 101, 245134 (2020) · 23pages, many figures. title changed. accepted by PRB
arxiv created 2020/05/28 · openalex publication_date 2020/06/11 · arxiv updated 2020/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Fracton topological order hosts fractionalized pointlike excitations (e.g., fractons) that have restricted mobility. In this paper, we explore even more bizarre realization of fracton phases that admit spatially extended excitations with restriction on both mobility and deformability. First, we present exactly solvable lattice quantum frustrated spin models and study their ground states and excited states analytically. We construct a family tree in which parent models and descendent models share excitation DNA. Second, with the help of solvability and novel excitation spectrum of these models, we initiate the first step of general discussions on quantitative and qualitative properties of spatially extended excitations whose mobility and deformability are restricted to some extent. Especially, as a useful viewpoint for understanding such fracton physics, all excitations are divided into four mutually distinct sectors, namely, simple excitations, complex excitations, intrinsically disconnected excitations, and trivial excitations. Several implications in, e.g., condensed matter physics and gravity are briefly discussed.