Thermal conductivity of anisotropic and frustrated spin-1/2-chains

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  • 14 August 2002
Abstract
We analyze the thermal conductivity of anisotropic and frustrated spin-1/2-chains using analytical and numerical techniques. This includes mean-field theory based on the Jordan-Wigner transformation, bosonization and exact diagonalization of systems with N<=18 sites. We present results for the temperature dependence of the zero-frequency weight of the conductivity for several values of the anisotropy Delta. In the gapless regime, we show that the mean-field theory compares well to known results and that the low temperature limit is correctly described by bosonization. In the antiferromagnetic and ferromagnetic gapped regime, we analyze the temperature dependence of the thermal conductivity numerically. The convergence of the finite-size data is remarkably good in the ferromagnetic case. Finally, we apply the numerics and mean-field theory to the frustrated chain where we find a good agreement of these two approaches.

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