Influence of Dzyaloshinskii-Moriya and Kaplan-Shekhtman-Entinwohlman-Aharony superexchange interactions on ground state properties of the one-dimensional spin-Peilers model in open chain

doi:10.1088/1674-1056/19/11/117502

Abstract The effects of the Dzyaloshinskii–Moriya (DM) and the Kaplan–Shekhtman–Entinwohlman–Aharony (KSEA) superexchange interactions on the ground state properties of the one-dimensional spin-Peilers system in open chain are studied by using the Lanczos numerical method. The study concentrates mainly on the influence of systemic dimerisation in open chain. The results show that systemic ground state energy density varies with dimerisation parameter $\delta$ in different DM interactions, and there exists a special point $\delta$_c where the DM interaction has no influence on the systemic dimerisation, no matter whether the DM interaction is relative or irrelative to systemic dimerisation (η = 1 or η = 0). The KSEA interaction has no fixed special point, but the points of intersection are dense relatively in a certain numberical value range, and sparse in other numberical value ranges. So we can conclude that the antisymmetric anisotropy DM interaction differs from the symmetric anisotropy KSEA interaction, but they are analogous in the sense of the influence of systemic dimerisation in open chain.

Keywords: dimerisation Dzyaloshinskii–Moriya interaction Kaplan–Shekhtman–Entinwohlman–Aharony interaction open chain

Received: 18 March 2010
Revised: 20 May 2010
Accepted manuscript online:

PACS:	75.10.-b	(General theory and models of magnetic ordering)
	75.30.Et	(Exchange and superexchange interactions)

Fund: Project supported by the Natural Science Research Key Program of Higher Education Institution of Anhui Province, China (Grant No. KJ2010A335), and the Youth Science Research Program of Anhui University of Technology, China (Grant No. QZ200824).

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Liu Hai-Lian(刘海莲), Huang Xian-Shan(黄仙山),Wang Zhi-Guo(王治国), and Shi Yun-Long(石云龙) Influence of Dzyaloshinskii-Moriya and Kaplan-Shekhtman-Entinwohlman-Aharony superexchange interactions on ground state properties of the one-dimensional spin-Peilers model in open chain 2010 Chin. Phys. B 19 117502

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Influence of Dzyaloshinskii-Moriya and Kaplan-Shekhtman-Entinwohlman-Aharony superexchange interactions on ground state properties of the one-dimensional spin-Peilers model in open chain

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