Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:cond-mat/0010118 · Journal of Physics Condensed Matter

Spin-Peierls instability in a quantum spin chain with Dzyaloshinskii-Moriya interaction

Oleg Derzhko, Johannes Richter, O. Zaburannyi

Published Sep 19, 2000• 22 citations
arXivHTMLPDF

Abstract

We analysed the ground-state energy of some dimerized spin-1/2 transverse XX and Heisenberg chains with Dzyaloshinskii-Moriya (DM) interaction to study the influence of the latter interaction on the spin-Peierls instability. We found that DM interaction may act either in favour of the dimerization or against it. The actual result depends on the dependence of the DM interaction on the distortion amplitude in comparison with such dependence for the isotropic exchange interaction.

DOI
10.1088/0953-8984/12/40/310

Related papers

The Dzyaloshinskii-Moriya interaction in spin-Peierls systems

Zhiguo Yang, Zhiguo Wang, Hong Chen

The influence of Dzyaloshinskii-Moriya (DM) interaction on the spin-Peierls systems is studied by use of theoretical analysis and the Lanczos numerical method. The ground sate of the spin-Peierls system is still a dimerized phase when DM interaction is present. The results show that the uniform DM interaction is always against dimerization but the staggered DM interaction may act in favour of or against dimerization. There exists a critical point where the staggered DM interaction has no influence on dimerization.

Journal of Physics Condensed Matter•Feb 15, 2002•10 citations

The symmetric and antisymmetric superexchange interactions in spin-Peierls system

Liu Hai-Lian, Zhiguo Wang, 杨成全 +2 more

The influences of Dzyaloshinskii–Moriya (DM) interaction and Kaplan–Shekhtman–Entinwohlman–Aharony (KSEA) interaction on the dimerization of a spin-Peierls system are investigated theoretically by using the Lanczos numerical method. The ground state of the spin-Peierls system is still dimerized phase when both of the DM and the KSEA interactions have the same value with Heisenberg interaction. It is found that the KSEA interaction and uniform DM interaction are always against systemic dimerization, but the staggered DM interaction acts in favour of dimerization. Furthermore, the influences of the DM and the KSEA interactions are also studied in terms of the ground state index rate and the energy gap index rate of the dimerized Heisenberg system. The results show that the DM interaction makes the index rates larger, while the KSEA interaction makes them smaller.

Chinese Physics•Dec 1, 2007•6 citations

Ground state properties of spin-Peierls ladder model with interchain superexchange interactions

Hailian Liu, Zhiguo Wang, Yang Cheng-quan +2 more

The ground-state properties of spin-Peierls ladder model with interchain Heisenberg interaction and interchain Dzyaloshinskii-Moriya(DM)interaction are studied by Lanczos numerical method. We mainly concentrate on the influence of interchain Heisenberg interaction and interchain DM interaction on system dimerization. The results show that these two interchain interations always act against the dimerization of the system, and they can make system ground state dimerization diminishing, which means that increasing the system dimensions may reduce system dimerization, even destroy the dimerization phase.

Acta Physica Sinica•Jan 1, 2006•1 citation

The influence of dzyaloshinskii-moriya interaction on the dimerization in Spin-Peierls systems

Zhiguo Wang

By Lanczos numerical method. The influence of Dzyaloshinskii-Moriya(D-M) interaction on the dimer-ization in Spin-Peierls systems is studied. The ground sate of the Spin-Peierls system is still a dimerized phase when D-M interaction is present. The results show that the uniform D-M interaction is always against dimeriza-tion but the staggered D-M interaction may act in favour of or against dimerization. There exists a critical point where the staggered D-M interaction has no influence on dimerization.

•Jan 1, 2002•0 citations

Spin-1/2 Periodic Nonuniform XX Chains and the Spin-Peierls Instability

Oleg Derzhko, Johannes Richter, O. Zaburannyi

Using continued fractions we obtained the exact result for the density of magnon states of the regularly alternating spin-1/2 XX chain with the Dzyaloshinskii-Moriya interaction.We examined the stability of the magnetic chain with respect to the spin-Peierls dimerization.

arXiv:cond-mat/9908385•Acta Physica Polonica A•May 1, 2000•2 citations

Ground state properties of the one-dimensional unperiod spin-Peierls model with antisymmetric superexchange interaction

Shi Yun-Long

Ground state properties of the one-dimensional unperiod spin-Peilers model with Dzyaloshinskii-Moriya(DM)interaction are studied by Lanczos numerical method.It is shown that the DM interaction acts against dimerization when the DM interaction is irrelative with dimerization in period.On the other hand,the DM interaction is favor for dimerization when DM interaction depends on the dimerization in period.Otherwise,We also study the influence of DM interaction on system dimerization in unperiod when DM interaction depend on crystal lattice aberration in different degree,And we found that DM interaction has no influence on system dimerization in a special value δ_c,At the same time,the value in both side of the δ_c vary by different trend.

Journal of Shanxi Datong University•Jan 1, 2005•0 citations
We analysed the ground-state energy of some dimerized spin-1/2 transverse XX and Heisenberg chains with Dzyaloshinskii-Moriya (DM) interaction to study the influence of the latter interaction on the spin-Peierls instability. We found that DM interaction may act either in favour of the dimerization or against it. The actual result depends on the dependence of the DM interaction on the distortion amplitude in comparison with such dependence for the isotropic exchange interaction.
The influence of Dzyaloshinskii-Moriya (DM) interaction on the spin-Peierls systems is studied by use of theoretical analysis and the Lanczos numerical method. The ground sate of the spin-Peierls system is still a dimerized phase when DM interaction is present. The results show that the uniform DM interaction is always against dimerization but the staggered DM interaction may act in favour of or against dimerization. There exists a critical point where the staggered DM interaction has no influence on dimerization.
The influences of Dzyaloshinskii–Moriya (DM) interaction and Kaplan–Shekhtman–Entinwohlman–Aharony (KSEA) interaction on the dimerization of a spin-Peierls system are investigated theoretically by using the Lanczos numerical method. The ground state of the spin-Peierls system is still dimerized phase when both of the DM and the KSEA interactions have the same value with Heisenberg interaction. It is found that the KSEA interaction and uniform DM interaction are always against systemic dimerization, but the staggered DM interaction acts in favour of dimerization. Furthermore, the influences of the DM and the KSEA interactions are also studied in terms of the ground state index rate and the energy gap index rate of the dimerized Heisenberg system. The results show that the DM interaction makes the index rates larger, while the KSEA interaction makes them smaller.
The ground-state properties of spin-Peierls ladder model with interchain Heisenberg interaction and interchain Dzyaloshinskii-Moriya(DM)interaction are studied by Lanczos numerical method. We mainly concentrate on the influence of interchain Heisenberg interaction and interchain DM interaction on system dimerization. The results show that these two interchain interations always act against the dimerization of the system, and they can make system ground state dimerization diminishing, which means that increasing the system dimensions may reduce system dimerization, even destroy the dimerization phase.
By Lanczos numerical method. The influence of Dzyaloshinskii-Moriya(D-M) interaction on the dimer-ization in Spin-Peierls systems is studied. The ground sate of the Spin-Peierls system is still a dimerized phase when D-M interaction is present. The results show that the uniform D-M interaction is always against dimeriza-tion but the staggered D-M interaction may act in favour of or against dimerization. There exists a critical point where the staggered D-M interaction has no influence on dimerization.
Ground state properties of the one-dimensional unperiod spin-Peilers model with Dzyaloshinskii-Moriya(DM)interaction are studied by Lanczos numerical method.It is shown that the DM interaction acts against dimerization when the DM interaction is irrelative with dimerization in period.On the other hand,the DM interaction is favor for dimerization when DM interaction depends on the dimerization in period.Otherwise,We also study the influence of DM interaction on system dimerization in unperiod when DM interaction depend on crystal lattice aberration in different degree,And we found that DM interaction has no influence on system dimerization in a special value δ_c,At the same time,the value in both side of the δ_c vary by different trend.