Magnetoelastic instability in the XXZ rings with next-nearest neighbour coupling

doi:10.1088/1674-1056/19/2/027503

中国物理B ›› 2010, Vol. 19 ›› Issue (2): 27503-027503.doi: 10.1088/1674-1056/19/2/027503

Magnetoelastic instability in the XXZ rings with next-nearest neighbour coupling

李鹏飞, 陈中华

Department of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 200090, China

收稿日期:2009-05-06 修回日期:2009-05-30 出版日期:2010-02-15 发布日期:2010-02-15

Magnetoelastic instability in the XXZ rings with next-nearest neighbour coupling

Li Peng-Fei(李鹏飞)^† and Chen Zhong-Hua(陈中华)

Department of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 200090, China

Received:2009-05-06 Revised:2009-05-30 Online:2010-02-15 Published:2010-02-15

摘要/Abstract

摘要： This paper numerically investigates the magnetoelastic instability in the S = 1/2 {XXZ} rings containing finite spins N with antiferromagnetic nearest-neighbour ({NN}) and next-nearest neighbour ({NNN}) coupling. It finds that, as the {NN} anisotropy Δ₁ equals the {NNN} anisotropy \varDelta₂, there exists a critical {NNN} coupling strength J₂^c(≈0.5), at which the systems always locate in dimerized phase for arbitrary large spring constant. As Δ₁ \ne Δ₂, the values of J₂^{\rm c} are dependent on N and the difference of (Δ₁-\varDelta₂).

Abstract: This paper numerically investigates the magnetoelastic instability in the S = 1/2 XXZ rings containing finite spins N with antiferromagnetic nearest-neighbour (NN) and next-nearest neighbour (NNN) coupling. It finds that, as the NNanisotropy $\varDelta_1$ equals the NNN anisotropy $\varDelta_2$, there exists a critical NNN coupling strength $J_2^{\rm c}$ (≈0.5), at which the systems always locate in dimerized phase for arbitrary large spring constant. As $\varDelta_1\neq\varDelta_2$, the values of $J_2^{\rm c}$ are dependent on N and the difference of ($\varDelta_1-\varDelta_2$).

Key words: single molecular magnets, anisotropy, magnetoelastic instability

中图分类号: (Magnetomechanical effects, magnetostriction)

75.80.+q

75.50.Xx (Molecular magnets) 75.30.Et (Exchange and superexchange interactions) 75.30.Gw (Magnetic anisotropy) 75.50.Ee (Antiferromagnetics)

李鹏飞, 陈中华. Magnetoelastic instability in the XXZ rings with next-nearest neighbour coupling[J]. 中国物理B, 2010, 19(2): 27503-027503.

Li Peng-Fei(李鹏飞) and Chen Zhong-Hua(陈中华). Magnetoelastic instability in the XXZ rings with next-nearest neighbour coupling[J]. Chin. Phys. B, 2010, 19(2): 27503-027503.

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Magnetoelastic instability in the XXZ rings with next-nearest neighbour coupling

Magnetoelastic instability in the XXZ rings with next-nearest neighbour coupling

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