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

Abstract

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. Based on 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 intra- and interchain couplings and implications for experiments on Sr_2 Cu_{1-x}Pd_x O_{3+δ} and related compounds are discussed.

30 pages, 11 figures

References in corpus (4)

• Chain breaks and the susceptibility of Sr_2Cu_{1-x}Pd_xO_{3+δ} and other doped quasi one-dimensional antiferromagnets
• Boundary contributions to specific heat and susceptibility in the spin-1/2 XXZ chain
• Boundary susceptibility in the open XXZ-chain
• NMR evidence for Friedel-like oscillations in the CuO chains of ortho-II YBa${}_2$Cu${}_3$O${}_{6.5}$

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• Scattering of spinon excitations by potentials in the 1D Heisenberg model