Random $s=1/2$ $XY$ chains and the theory of quasi-one-dimensional ferroelectrics with hydrogen bonds

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The paper presents a new numerical approach for studying the thermodynamical and dynamical properties of finite spin-$\frac{1}{2}$ $XY$ chains. Special attention is given to examining the influence of disorder on the average transverse dynamical susceptibility of Ising chain in random transverse field.
12 pages, LaTeX

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