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arXiv:cond-mat/9705163 · Physical review. B, Condensed matter

Solvable model of a random spin- XY chain

Oleg Derzhko, Johannes Richter

Published Jun 1, 1997• 24 citations
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Abstract

This paper presents exact calculations of thermodynamic quantities for the spin- isotropic XY chain with random Lorentzian intersite interaction and transverse field that depends linearly on the surrounding intersite interactions.
DOI
10.1103/physrevb.55.14298

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We extend the consideration of the spin-12\frac{1}{2}21​ transverse XY\mathrm{XY}XY chain with correlated Lorentzian disorder [Phys. Rev. B 55, 14 298 (1997)] for the case of additional Dzyaloshinskii-Moriya interspin interaction. It is shown how the averaged density of states can be calculated exactly. Results are presented for the density of states and the transverse magnetization.
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.