Onsager algebra and algebraic generalization of Jordan-Wigner transformation
Recently, an algebraic generalization of the Jordan-Wigner transformation was introduced and applied to one- and two-dimensional systems. This transformation is composed of the interactions ηi that appear in the Hamiltonian H as H=∑i=1NJiηi, where Ji are coupling constants. In this short note, it is...
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| Formato: | article |
| Lenguaje: | EN |
| Publicado: |
Elsevier
2021
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| Materias: | |
| Acceso en línea: | https://doaj.org/article/eb94af617a8b4d619b3758419e18f1af |
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| Sumario: | Recently, an algebraic generalization of the Jordan-Wigner transformation was introduced and applied to one- and two-dimensional systems. This transformation is composed of the interactions ηi that appear in the Hamiltonian H as H=∑i=1NJiηi, where Ji are coupling constants. In this short note, it is derived that operators that are composed of ηi, or its n-state clock generalizations, satisfy the Dolan-Grady condition and hence obey the Onsager algebra which was introduced in the original solution of the rectangular Ising model and appears in some integrable models. |
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