Properties and application of SO(3) Majorana representation of spin: Equivalence with Jordan-Wigner transformation and exact Z2 gauge theories for spin models
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review B"
DOI: 10.1103/physrevb.98.214432
Abstract: We explore the properties of the SO(3) Majorana representation of spin. Based on its non-local nature, it is shown that there is an equivalence between the SO(3) Majorana representation and the Jordan-Wigner transformation in one… read more here.
Keywords: spin; majorana representation; jordan wigner; wigner transformation ... See more keywords
Free-parafermionic Z(N) and free-fermionic XY quantum chains.
Sign Up to like & getrecommendations! Published in 2021 at "Physical review. E"
DOI: 10.1103/physreve.104.054121
Abstract: The relationship between the eigenspectrum of Ising and XY quantum chains is well known. Although the Ising model has a Z(2) symmetry and the XY model a U(1) symmetry, both models are described in terms… read more here.
Keywords: jordan wigner; model symmetry; free fermionic; quantum chains ... See more keywords