Direct Calculation of Spin-Stiffness for Spin-1/2 Heisenberg Models

Details Direct Calculation of Spin-Stiffness for Spin-1/2 Heisenberg Models Direct Calculation of Spin-Stiffness for Spin-1/2 Heisenberg Models

1994-05-24

arxiv.org/abs/cond-mat/9405069v1

Physics

Condensed Matter

11 pgs, TeX, LA-UR-94-94 (to be published in Phys. Rev. B)

Scientific paper

10.1103/PhysRevB.50.3415

The spin-stiffness of frustrated spin-1/2 Heisenberg models in one and two dimensions is computed for the first time by exact diagonalizations on small clusters that implement spin-dependent twisted boundary conditions. Finite-size extrapolation to the thermodynamic limit yields a value of $0.14\pm 0.01$ for the spin-stiffness of the unfrustrated planar antiferromagnet. We also present a general discussion of the linear-response theory for spin-twists, which ultimately leads to the moment sum-rule.

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