Majorana Fermions, Exact Mappings between Classical and Topological Orders

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dc.creatorChen, Han-Dong
dc.creatorHu, Jiangping
dc.date2007-02-15
dc.date2007-09-11
dc.date.accessioned2026-07-07T11:42:54Z
dc.date.available2026-07-07T11:42:54Z
dc.descriptionMotivated 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.
dc.description5 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0702366
dc.identifierhttp://arxiv.org/abs/cond-mat/0702366
dc.identifierPhys.Rev.B76:193101,2007
dc.identifierdoi:10.1103/PhysRevB.76.193101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201051
dc.subjectStrongly Correlated Electrons
dc.subjectStatistical Mechanics
dc.titleMajorana Fermions, Exact Mappings between Classical and Topological Orders
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