Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8201410 | Annals of Physics | 2018 | 39 Pages |
Abstract
Mappings between models may be obtained by unitary transformations with preservation of the spectra but in general a change in the states. Non-canonical transformations in general also change the statistics of the operators involved. In these cases one may expect a change of topological properties as a consequence of the mapping. Here we consider some dualities resulting from mappings, by systematically using a Majorana fermion representation of spin and fermionic problems. We focus on the change of topological invariants that results from unitary transformations taking as examples the mapping between a spin system and a topological superconductor, and between different fermionic systems.
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Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
P.D. Sacramento, V.R. Vieira,