O (3) Nonlinear sigma Model and the Topological Distinction between Integer- and Half-Integer-Spin Antiferromagnets in Two Dimensions

Haldane, F.D.M.

doi:10.1103/PhysRevLett.61.1029

O (3) Nonlinear sigma Model and the Topological Distinction between Integer- and Half-Integer-Spin Antiferromagnets in Two Dimensions

F.D.M. Haldane
(
- UC, San Diego
)

Aug 22, 1988

3 pages

Published in:

Phys.Rev.Lett. 61 (1988) 1029-1032

DOI:

10.1103/PhysRevLett.61.1029

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Abstract: (APS)

It is shown that the O(3) nonlinear σ model derived from the quantum Heisenberg antiferromagnet in two spatial dimensions, under the assumption that the Néel field Ω^(r,t) is well defined at all points in (2+1)D space-time, has no Hopf term, in contradiction to recent speculation. However, the amplitudes for tunneling between configurations with different spatial topologies reveal a difference between integer and half-integer, and between even- and odd-integer, spins.

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References(17)

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