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Ferroelectrics

Random S = ½ XY chains and the theory of quasi-one-dimensional ferroelectrics with hydrogen bonds

Oleg Derzhko, Taras Krokhmalskii

Published Feb 1, 1997• 4 citations
Publisher

Abstract

The paper presents a new numerical approach for studying the thermodynamical and dynamical properties of finite spin-1/2 XY chains. Special attention is given to examining the influence of disorder on the average transverse dynamical susceptibility of Ising chain in random transverse field.
DOI
10.1080/00150199708216167

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Journal of Physical Studies•Jan 1, 1998•1 citation
Random s=1/2s=1/2s=1/2 XYXYXY chains and the theory of quasi-one-dimensional ferroelectrics with hydrogen bonds
The paper presents a new numerical approach for studying the thermodynamical and dynamical properties of finite spin-12\frac{1}{2}21​ XYXYXY chains. Special attention is given to examining the influence of disorder on the average transverse dynamical susceptibility of Ising chain in random transverse field.
The paper presents a numerical approach for the calculation of thermodynamics and spin correlations for spin-½ XY chains. To illustrate the approach we performed exact finite-chain calculations of all time-dependent two-spin correlation functions for the spin-½ Ising chain in the transverse field. The computed correlation functions permit to evaluate the frequency-dependent susceptibilities and structure factors for this model. The obtained results are discussed in detail. They may have an application for the interpretation of dynamic experiments on quasi-one-dimensional crystals that can be treated within the frames of the spin-½ transverse Ising model.
We have considered a numerical scheme for the calculation of the equilibrium properties of spin-1/2 XY chains. Within its frames it is necessary to solve in the last resort only the 2N\times 2N eigenvalue and eigenvector problem but not the 2^N\times 2^N one as for an arbitrary system consisting of N spins 1/2. To illustrate the approach we have presented some new results. Namely, the xx dynamic structure factor for the Ising model in transverse field, the density of states for the isotropic chain with random intersite couplings and transverse fields that linearly depend on the surrounding couplings, and the zz dynamic structure factor for the Ising model in random transverse field. The results obtained are hopped to be useful for an interpretation of observable data for one-dimensional spin-1/2 XY substances.
We have considered a numerical scheme for the calculation of the equilibrium properties of spin{ 1 2 XY chains.Within its frames it is necessary to solve in the last resort only the 2N 2N eigenvalue and eigenvector problem but not the 2 N 2 N one as for an arbitrary system consisting of N spins 1 2 .To illustrate the approach we have presented some new results.Namely, the xx dynamic structure factor for the Ising model in transverse eld, the density of states for the isotropic chain with random intersite couplings and transverse elds that linearly depend on the surrounding couplings, and the zz dynamic structure factor for the Ising model in the random transverse eld.The results obtained are hoped to be useful for an interpretation of observable data for one{dimensional spin{ 1 2 XY substances.