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Majorana Fermions, Exact Mappings between Classical and Topological Orders

Han-Dong Chen·Jiangping Hu
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Abstract

Motivated by the duality between site-centered spin and bond-centered spin in one-dimensional system, which connects two different constructions of fermions from the same set of Majorana fermions, we show that two-dimensional models with topological orders can be constructed from certain well-known models with classical orders characterized by symmetry-breaking. Topology-dependent ground state degeneracy, vanishing two-point correlation functions, and unpaired Majorana fermions on boundaries emerge naturally from such construction. The approach opens a new way to construct and characterize topological orders.

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Han-Dong Chen, Jiangping Hu. 2007-09-11. Majorana Fermions, Exact Mappings between Classical and Topological Orders. https://doi.org/10.1103/physrevb.76.193101

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