Majorana Fermions, Exact Mappings between Classical and Topological Orders

Details Majorana Fermions, Exact Mappings between Classical and Topological Orders Majorana Fermions, Exact Mappings between Classical and Topological Orders

2007-02-15

arxiv.org/abs/cond-mat/0702366v2

Phys.Rev.B76:193101,2007

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 4 figures

Scientific paper

10.1103/PhysRevB.76.193101

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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