Phys. Rev. Lett. 74, 178–181 (1995)Spin Stiffness of Mesoscopic Quantum AntiferromagnetsReceived 25 July 1994; published in the issue dated 2 January 1995 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 cases the stiffness differs fundamentally in its L and T dependences, 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 nonlinear 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. © 1994 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.74.178
DOI:
10.1103/PhysRevLett.74.178
PACS:
75.10.Jm, 73.20.Fz, 75.50.Ee
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