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Journal of Changshu Institute of Technology

Research on the phase transition in Spin-Peierls Systems with s=1/2xxz antiferromagnetic chain

Xue Jiang

Published Jan 1, 2000• 0 citations
OpenAlex

Abstract

The energy density of the ground state and excitation spectrum in Spin-Peierls Systems with s=12xxz antiferromagnetic chain are given by means of the bosonization self-consistent perturbation method.The change of the energy density of the ground state and quasipartical excited energy gap with the distortion and anti-isotropy of the model is discussed.

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The energy density of the ground state and excitation spectrum in Spin-Peierls Systems with s=12xxz antiferromagnetic chain are given by means of the bosonization self-consistent perturbation method.The change of the energy density of the ground state and quasipartical excited energy gap with the distortion and anti-isotropy of the model is discussed.
We study a model of a spin-Peierls material consisting of a set of antiferromagnetic Heisenberg chains coupled with phonons and interacting among them via an interchain elastic coupling. The excitation spectrum is analyzed by bosonization techniques and the self-harmonic approximation. The elementary excitation is the creation of a localized domain structure where the dimerized order is the opposite to the one of the surroundings. It is a triplet excitation whose formation energy is smaller than the magnon gap. Magnetic internal excitations of the domain are possible and give the further excitations of the system. We discuss these results in the context of recent experimental measurements on the inorganic spin-Peierls compound CuGeO3.{\mathrm{CuGeO}}_{3}.CuGeO3​.
Concerning the question of the (spin-)Peierls mechanism in the presence of disorder we present a detailed analysis of the ground state phase diagram of the dimerized anisotropic Heisenberg-XXZ chain containing one impurity. It is obtained by studying the destruction of the quantum coherence by the perturbations. The stability of the Peierls phase, i. e. the occurence of a stable dimerization, is determined by the energy gain and gap due to the coupling to the static phonons. The extension of the paramagnetic phase, found already in the clean dimerized chain, grows by adding the impurity, because the distortions weaken each other. The Peierls phase is reduced for two reasons: First, the energy gain of the spin-system decreases, which leads to a smaller stable dimerization and second, the energy gap itself is reduced.