4.6 Article

Thermodynamics of impurities in the anisotropic Heisenberg spin-1/2 chain

Publisher

IOP PUBLISHING LTD
DOI: 10.1088/1742-5468/2008/02/P02015

Keywords

integrable spin chains (vertex models); bosonization; Luttinger liquids (theory); spin chains; ladders and planes (theory)

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The thermodynamics of finite open antiferromagnetic XXZ chains is studied using field theory, Bethe ansatz and quantum Monte Carlo methods. For the susceptibility a parameter-free result as a function of the number of sites L and temperature T beyond the scaling limit is derived. The limiting cases T/J >> 1/L (J being the exchange constant), where the boundary correction shows a logarithmically suppressed Curie behaviour, and T/J << 1/ L, where a crossover to the ground state behaviour takes place, are discussed in detail. On the basis of this analysis we present a simple formula for the averaged susceptibility of a spin-1/2 chain doped with non-magnetic impurities. We show that the effective Curie constant has a highly non-trivial temperature dependence and shows scaling in the low temperature limit. Finally, corrections due to intrachain and interchain couplings and implications for experiments on Sr2Cu1-xPdxO3+delta and related compounds are discussed.

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