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Spin Stiffness of Mesoscopic Quantum Antiferromagnets

Daniel Loss·Dmitrii L. Maslov
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Abstract

We study the spin stiffness of a one-dimensional quantum antiferromagnet in the whole range of system sizes $L$ and temperatures $T$. We show that for integer and half-odd integer spin case the stiffness differs fundamentally in its $L$ and $T$ dependence, and that in the latter case the stiffness exhibits a striking dependence on the parity of the number of sites. Integer spin chains are treated in terms of the non-linear sigma model, while half-odd integer spin chains are discussed in a renormalization group approach leading to a Luttinger liquid with Aharonov-Bohm type boundary conditions.

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Daniel Loss, Dmitrii L. Maslov. 1994-10-11. Spin Stiffness of Mesoscopic Quantum Antiferromagnets. https://doi.org/10.1103/physrevlett.74.178

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