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The longitudinal dynamic correlation and dynamic susceptibility of the isotropic XY-model on the 1d alternating superlattice | J. P.de Lima L. L. Goncalves
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20 Nov 2001 | Subject: | Statistical Mechanics | cond-mat.stat-mech | Affiliation: | U. F. do Piaui) L. L. Goncalves (U. F. do Ceara | Abstract: | The dynamic susceptibility $chi_{Q}^{zz}(omega)$ of the isotropic XY-model (s=1/2) on the alternating superlattice (closed chain) in a transverse field $h$ is obtained exactly at arbitrary temperatures. It is determined from the results obtained for the dynamic correlations $$, which have been calculated by introducing the generalized Jordan-Wigner transformation, by using Wick’s theorem and by reducing the problem to a diagonalization of a finite matrix. The static properties are also reobtained within this new formalism and all exact results are determined for arbitrary temperatures. Explicit results are obtained numerically in the limit T=0, where the critical behaviour occurs. A detailed analysis is presented for the behaviour of the static susceptibility $chi_{Q}^{zz}(0)$, as a function of the transverse field h, and for the frequency dependency of the dynamic susceptibility $chi_{Q}^{zz}(omega)$. It is also shown, in this temperature limit, that within the magnetization plateaus which correspond to the different phases, even when the induced magnetization is not saturated, the effective dynamic correlation, $$, is time independent, which constitutes an unexpected result. | Source: | arXiv, cond-mat/0111372 | Services: | Forum | Review | PDF | Favorites |
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