Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2001-12-24
J.Phys.A35:2173-2182,2002
Physics
Condensed Matter
Statistical Mechanics
12 pages
Scientific paper
10.1088/0305-4470/35/9/307
Motivated by recent investigations of transport properties of strongly correlated 1d models and thermal conductivity measurements of quasi 1d magnetic systems we present results for the integrable spin-1/2 $XXZ$ chain. The thermal conductivity $\kappa(\omega)$ of this model has $\Re\kappa(\omega)=\tilde\kappa \delta(\omega)$, i.e. it is infinite for zero frequency $\omega$. The weight $\tilde\kappa$ of the delta peak is calculated exactly by a lattice path integral formulation. Numerical results for wide ranges of temperature and anisotropy are presented. The low and high temperature limits are studied analytically.
Kluemper Andreas
Sakai Kazumitsu
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