The 1/N Expansion and Long Range Antiferromagnetic Order

Details The 1/N Expansion and Long Range Antiferromagnetic Order The 1/N Expansion and Long Range Antiferromagnetic Order

1993-02-18

arxiv.org/abs/cond-mat/9302024v1

Physics

Condensed Matter

9 LaTeX pages. Figures upon request. Tech-101

Scientific paper

10.1103/PhysRevLett.70.3808

The staggered magnetization of the Heisenberg antiferromagnet in two dimensions can be systematically approximated by a 1/N expansion. Cancellation between self energy diagrams leads to a Luttinger-like theorem for the ground state. We prove (for a smooth enough self energy) that the long range order of mean field theory ($N$=$\infty$) survives corrections to all orders of 1/N. Divergences of this series provides a new route to the disordered phases of quantum antiferromagnets.

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