The thermal conductivity of alternating spin chains

Details The thermal conductivity of alternating spin chains The thermal conductivity of alternating spin chains

2009-09-30

arxiv.org/abs/0909.5634v2

J. Stat. Mech. (2010) P01019

Physics

Condensed Matter

Statistical Mechanics

15 pages, 1 figure

Scientific paper

10.1088/1742-5468/2010/01/P01019

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.

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