Spin Stiffness of Mesoscopic Quantum Antiferromagnets

Details Spin Stiffness of Mesoscopic Quantum Antiferromagnets Spin Stiffness of Mesoscopic Quantum Antiferromagnets

1994-10-11

arxiv.org/abs/cond-mat/9410037v1

Physics

Condensed Matter

12 pages, LaTeX

Scientific paper

10.1103/PhysRevLett.74.178

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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