Fractionalization, topological order, and quasiparticle statistics

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dc.creatorOshikawa, Masaki
dc.creatorSenthil, T.
dc.date2005-06-01
dc.date2005-11-29
dc.date.accessioned2026-07-07T06:37:54Z
dc.date.available2026-07-07T06:37:54Z
dc.descriptionWe argue, based on general principles, that topological order is essential to realize fractionalization in gapped insulating phases in dimensions $d \geq 2$. In $d=2$ with genus $g$, we derive the existence of the minimum topological degeneracy $q^g$ if the charge is fractionalized in unit of $1/q$, irrespective of microscopic model or of effective theory. Furthermore, if the quasiparticle is either boson or fermion, it must be at least $q^{2g}$.
dc.description4 pages, updated with additional references. No change in the main conclusion
dc.identifierhttps://arxiv.org/abs/cond-mat/0506008
dc.identifierhttp://arxiv.org/abs/cond-mat/0506008
dc.identifierPhys. Rev. Lett. 96, 060601 (2006)
dc.identifierdoi:10.1103/PhysRevLett.96.060601
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100553
dc.subjectStrongly Correlated Electrons
dc.subjectStatistical Mechanics
dc.titleFractionalization, topological order, and quasiparticle statistics
dc.typetext

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