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Journal of Physics Condensed Matter

The Dzyaloshinskii-Moriya interaction in spin-Peierls systems

Zhiguo Yang, Zhiguo Wang, Hong Chen

Published Feb 15, 2002• 10 citations
Publisher

Abstract

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.

DOI
10.1088/0953-8984/14/8/104

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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.
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.
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.
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.
We have studied the phase diagram of the one dimensional XXZ model with Dzyaloshinskii-Moriya (DM) interaction. We have applied the quantum renormalization group (QRG) approach to get the stable fixed points, critical point and the scaling of coupling constants. This model has three phases, ferromagnetic, spin-fluid and Néel phases which are separated by a critical line which depends on the DM coupling constant. We have shown that the staggered magnetization is the order parameter of the system and investigated the influence of DM interaction on the chiral ordering as a helical magnetic order.