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Acta Physica Polonica A

Susceptibility Behaviour of CuGeO3: Comparison between Experiment and the Quantum Transfer Matrix Approach

M. Bieliński, Jean‐Pierre Renard

Published May 1, 2000• 0 citations
Publisher

Abstract

Thermodynamical properties of one-dimensional S = 1/2 Heisenberg model with dimerized nearest-and uniform next-nearest-neighbour interactions are studied by the numerically exact quantum transfer matrix method and the results are applied to CuGeO 3 .Suzuki-Trotter formula is used to obtain a classical system with spin σ = 3/2 and effective interactions between nearest-neigbours only.Magnetic susceptibility curve is calculated and compared with new experimental results performed in a wide temperature range, revealing the presence of frustration in the model proposed for CuGeO 3 .

DOI
10.12693/aphyspola.97.851

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Properties of the zigzag spin chains with various nearest-neighbor and next-nearest-neighbor interactions are studied by making use of the transfer-matrix renormalization group method. Thermodynamic quantities of the systems (temperature dependence of the susceptibility and the specific heat), as well as the field dependence of the magnetization are analyzed numerically with a high accuracy in the thermodynamic limit. The results have been compared with the recent experimental data on Rb2_22​Cu2_{2}2​Mo3_{3}3​O12_{12}12​.
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It is widely accepted that the low-energy physics in edge-sharing cuprate materials has one-dimensional (1D) character. The relevant model to study such systems is believed to be the 1D extended Heisenberg model with ferromagnetic nearest-neighbor (NN) interaction and antiferromagnetic next-nearest-neighbor one. Thus far, however, theoretical studies of such materials have been confined to the case of isotropic interactions. In the present work, we compare the spin susceptibility of the 1D extended Heisenberg model with anisotropy in the NN channel, obtained by means of the Transfer Matrix Renormalization Group method, with that of the edge-sharing chain cuprate Li 2 CuO 2 .