Lattice model for fermionic toric code
Name
PhysRevB.90.085140.pdf
Size
1.29 MB
Format
Adobe PDF
Checksum (MD5)
c4dcec3ceeabd1142691e55d87353227
Author(s)
Gu, Zheng-Cheng
Wang, Zhenghan
Wen, Xiao-Gang
Date Issued
August 2014
Journal
Physical Review B
Publisher
American Physical Society
Citation
Gu, Zheng-Cheng, Zhenghan Wang, and Xiao-Gang Wen. “Lattice Model for Fermionic Toric Code.” Phys. Rev. B 90, no. 8 (August 2014). © 2014 American Physical Society
Version
Final published version
Abstract
The Z[subscript 2] topological order in Z[subscript 2] spin liquid and in the exactly solvable Kitaev toric code model is the simplest topological order for 2 + 1D bosonic systems. More general 2 + 1D bosonic topologically ordered states can be constructed via exactly solvable string-net models. However, the most important topologically ordered phases of matter are arguably the fermionic fractional quantum Hall states. Topological phases of matter for fermion systems are strictly richer than their bosonic counterparts because locality has different meanings for the two kinds of systems. In this paper, we describe a simple fermionic version of the toric code model to illustrate many salient features of fermionic exactly solvable models and fermionic topologically ordered states.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.90.085140
