2007/07/31 by Claudio Chamon, Chang-Yu Hou, R. Jackiw +4
Mathematics · Physics and Astronomy · #Quantum and electron transport phenomena #Quantum many-body systems #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.str-el #hep-th #math-ph #math.MP
paper · pdf · doi:10.1103/physrevlett.100.110405
published as Phys.Rev.Lett.100:110405,2008 · 4 pages, 2 figures
openalex publication_date 2008/03/21 · arxiv created 2008/03/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that quasiparticle excitations with irrational charge and irrational exchange statistics exist in tight-binding systems described, in the continuum approximation, by the Dirac equation in (2+1)-dimensional space and time. These excitations can be deconfined at zero temperature, but when they are, the charge rerationalizes to the value 1/2 and the exchange statistics to that of "quartons" (half-semions).