Fractionalization, Topological Order,and Quasiparticle Statistics

Oshikawa, Masaki and Senthil, T (2006) Fractionalization, Topological Order,and Quasiparticle Statistics. In: Physical Review Letters, 96 (6). 060601--1-4.

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Abstract

We argue, based on general principles, that topological order is essential to realize fractionalization in gapped insulating phases in dimensions d >= 2. In d=2 with genus g, we derive the existence of the minimum topological degeneracy q(g) if the charge is fractionalized in units of 1/q, irrespective of microscopic model or effective theory. Furthermore, if the quasiparticle is either boson or fermion, it must be at least q(2g).

Item Type:	Journal Article
Publication:	Physical Review Letters
Publisher:	American Physical Society
Additional Information:	Copyright of this article belongs to American Physical Society.
Keywords:	quasiparticles;topology;fermion systems;boson systems.
Department/Centre:	Division of Physical & Mathematical Sciences > Physics
Date Deposited:	24 Mar 2009 08:53
Last Modified:	19 Sep 2010 04:56
URI:	http://eprints.iisc.ac.in/id/eprint/17249

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