The Yangian relations of Heisenberg spin chain model

Abstract In this paper, we investigate the Yangian relations of Heisenberg spin chain systems. Firstly, we consider the closed XXZ spin chain model, through the Heisenberg spin XXZ model, we found the Hamiltonians for one kind system of three adjacent partial particles interaction systems. The model...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Guijiao Du, Kang Xue, Chengcheng Zhou
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/38ba523841304f0aa7cf3271c6ac2583
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:38ba523841304f0aa7cf3271c6ac2583
record_format	dspace
spelling	oai:doaj.org-article:38ba523841304f0aa7cf3271c6ac25832021-12-02T16:14:17ZThe Yangian relations of Heisenberg spin chain model10.1038/s41598-021-94050-62045-2322https://doaj.org/article/38ba523841304f0aa7cf3271c6ac25832021-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-94050-6https://doaj.org/toc/2045-2322Abstract In this paper, we investigate the Yangian relations of Heisenberg spin chain systems. Firstly, we consider the closed XXZ spin chain model, through the Heisenberg spin XXZ model, we found the Hamiltonians for one kind system of three adjacent partial particles interaction systems. The model’s constitution rules of energy levels and energy states which expand from the few-particle system to multi-particle system have good regularity. In this system, we found Yangian’s law and illustrate it through graphs. Secondly, we further consider the closed XXZ spin chain’s generalization of other three neighboring particles interaction systems from few-particle system to multi-particle system. Finally, we also discussed the laws of the three adjacent particles system of some models, they are the XXZ model with twist boundary condition, the open XXZ spin chain model and the XXZ model containing the next neighbor. In addition, not only XXZ model, XXX model, XY model and Ising model, but the relevant laws of spin-1 systems of these models were also discussed, they have similar rules to the XXZ model. Through calculation and research, the eigensystems of these models all have good Yangian and constitution laws.Guijiao DuKang XueChengcheng ZhouNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-9 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Guijiao Du Kang Xue Chengcheng Zhou The Yangian relations of Heisenberg spin chain model
description	Abstract In this paper, we investigate the Yangian relations of Heisenberg spin chain systems. Firstly, we consider the closed XXZ spin chain model, through the Heisenberg spin XXZ model, we found the Hamiltonians for one kind system of three adjacent partial particles interaction systems. The model’s constitution rules of energy levels and energy states which expand from the few-particle system to multi-particle system have good regularity. In this system, we found Yangian’s law and illustrate it through graphs. Secondly, we further consider the closed XXZ spin chain’s generalization of other three neighboring particles interaction systems from few-particle system to multi-particle system. Finally, we also discussed the laws of the three adjacent particles system of some models, they are the XXZ model with twist boundary condition, the open XXZ spin chain model and the XXZ model containing the next neighbor. In addition, not only XXZ model, XXX model, XY model and Ising model, but the relevant laws of spin-1 systems of these models were also discussed, they have similar rules to the XXZ model. Through calculation and research, the eigensystems of these models all have good Yangian and constitution laws.
format	article
author	Guijiao Du Kang Xue Chengcheng Zhou
author_facet	Guijiao Du Kang Xue Chengcheng Zhou
author_sort	Guijiao Du
title	The Yangian relations of Heisenberg spin chain model
title_short	The Yangian relations of Heisenberg spin chain model
title_full	The Yangian relations of Heisenberg spin chain model
title_fullStr	The Yangian relations of Heisenberg spin chain model
title_full_unstemmed	The Yangian relations of Heisenberg spin chain model
title_sort	yangian relations of heisenberg spin chain model
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/38ba523841304f0aa7cf3271c6ac2583
work_keys_str_mv	AT guijiaodu theyangianrelationsofheisenbergspinchainmodel AT kangxue theyangianrelationsofheisenbergspinchainmodel AT chengchengzhou theyangianrelationsofheisenbergspinchainmodel AT guijiaodu yangianrelationsofheisenbergspinchainmodel AT kangxue yangianrelationsofheisenbergspinchainmodel AT chengchengzhou yangianrelationsofheisenbergspinchainmodel
_version_	1718384343932469248

The Yangian relations of Heisenberg spin chain model

Ejemplares similares