Fractionalization, Topological Order, and Quasiparticle Statistics

2005/06/30 by Masaki Oshikawa, T. Senthil · 4 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Theoretical and Computational Physics #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.96.060601

published as Phys. Rev. Lett. 96, 060601 (2006) · 4 pages, updated with additional references. No change in the main conclusion

arxiv created 2005/11/29 · openalex publication_date 2006/02/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We argue, based on general principles, that topological order is essential to realize fractionalization in gapped insulating phases in dimensions d > or = 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).

Citations

• Fractionalized Fermi Liquids
• Fault-tolerant quantum computation by anyons
• Insulator, Conductor, and Commensurability: A Topological Approach

Cited by

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• Fractional charges and spin-charge separation in one-dimensional Wigner lattices
• Classification of symmetry enriched topological phases with exactly solvable models