The thermal conductivity of alternating spin chains
Abstract
We study a class of integrable alternating (S1,S2) quantum spin chains with critical ground state properties. Our main result is the description of the thermal Drude weight of the one-dimensional alternating spin chain as a function of temperature. We have identified the thermal current of the model with alternating spins as one of the conserved currents underlying the integrability. This allows for the derivation of a finite set of non-linear integral equations for the thermal conductivity. Numerical solutions to the integral equations are presented for specific cases of the spins S1 and S2. In the low-temperature limit a universal picture evolves where the thermal Drude weight is proportional to temperature T and central charge c.
Keywords
Cite
@article{arxiv.0909.5634,
title = {The thermal conductivity of alternating spin chains},
author = {G. A. P. Ribeiro and N. Crampe and A. Klümper},
journal= {arXiv preprint arXiv:0909.5634},
year = {2011}
}
Comments
15 pages, 1 figure