Universal properties of anyon braiding on one-dimensional wire networks

Autor:	Maciążek, Tomasz, An, Byung Hee
Rok vydání:	2020
Předmět:	Quantum Physics Condensed Matter - Mesoscale and Nanoscale Physics Mathematical Physics Mathematics - Algebraic Topology
Zdroj:	Tomasz Maci\k{a}\.zek and Byung Hee An, Phys. Rev. B 102, 201407(R) (2020)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevB.102.201407
Popis:	We demonstrate that anyons on wire networks have fundamentally different braiding properties than anyons in 2D. Our analysis reveals an unexpectedly wide variety of possible non-abelian braiding behaviours on networks. The character of braiding depends on the topological invariant called the connectedness of the network. As one of our most striking consequences, particles on modular networks can change their statistical properties when moving between different modules. However, sufficiently highly connected networks already reproduce braiding properties of 2D systems. Our analysis is fully topological and independent on the physical model of anyons. Comment: 6 pages, a companion paper to arXiv:2006.15256
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2007.01207 Zobrazit plný text záznamu View this record from Arxiv