Spin Stiffness of Mesoscopic Quantum Antiferromagnets

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.

12 pages, LaTeX

References in corpus (3)

• Susceptibility of the Spin 1/2 Heisenberg Antiferromagnetic Chain
• Direct Calculation of Spin-Stiffness for Spin-1/2 Heisenberg Models
• Monte Carlo Calculation of the Spin-Stiffness of the Two-Dimensional Heisenberg Model

Cited by in corpus (3)

• Berry's phase and Quantum Dynamics of Ferromagnetic Solitons
• Josephson and Persistent Spin Currents in Bose-Einstein Condensates of Magnons
• Effects of a space modulation on the behavior of a 1D alternating Heisenberg spin-1/2 model