Emergent exclusion statistics of quasiparticles in two-dimensional topological phases

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Publication Type pre-print
School or College College of Science
Department Physics
Creator Wu, Yong-Shi
Other Author Hu, Yuting; Stirling, Spencer D.
Title Emergent exclusion statistics of quasiparticles in two-dimensional topological phases
Date 2014-01-01
Description We demonstrate how the generalized Pauli exclusion principle emerges for quasiparticle excitations in 2D topological phases. As an example, we examine the Levin-Wen model with the Fibonacci data (specified in the text), and construct the number operator for fluxons living on plaquettes. By numerically counting the many-body states with fluxon number fixed, the matrix of exclusion statistics parameters is identified and is shown to depend on the spatial topology (sphere or torus) of the system. Our work reveals the structure of the (many-body) Hilbert space and some general features of thermodynamics for quasiparticle excitations in topological matter.
Type Text
Publisher American Physical Society
Volume 89
Issue 11
First Page 115133-1
Last Page 115133-5
Language eng
Bibliographic Citation Hu, Y., Stirling, S. D., & Wu, Y.-S. (2014). Emergent exclusion statistics of quasiparticles in two-dimensional topological phases. Physical Review B - Condensed Matter and Materials Physics, 89(11), 115133-1-115133-5.
Rights Management (c) American Physical Society http://dx.doi.org/DOI: 10.1103/PhysRevB.89.115133
Format Medium application/pdf
Format Extent 119,163 bytes
Identifier uspace,18650
ARK ark:/87278/s6gb5d4z
Setname ir_uspace
ID 712543
Reference URL https://collections.lib.utah.edu/ark:/87278/s6gb5d4z
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