On the confinement of spinons in the $CP^{M-1}$ model

Details On the confinement of spinons in the $CP^{M-1}$ model On the confinement of spinons in the $CP^{M-1}$ model

1995-01-09

arxiv.org/abs/cond-mat/9501031v2

Phys.Rev. B52 (1995) 440

Physics

Condensed Matter

27 pages, REVtex file, 4 figures (now in a uuencoded, gziped file). The figures are also available upon request.

Scientific paper

10.1103/PhysRevB.52.440

We use the $1/M$ expansion for the $CP^{M-1}$ model to study the long-distance behaviour of the staggered spin susceptibility in the commensurate, two-dimensional quantum antiferromagnet at finite temperature. At $M=\infty$ this model possesses deconfined spin-1/2 bosonic spinons (Schwinger bosons), and the susceptibility has a branch cut along the imaginary $k$ axis. We show that in all three scaling regimes at finite $T$, the interaction between spinons and gauge field fluctuations leads to divergent $1/M$ corrections near the branch cut. We identify the most divergent corrections to the susceptibility at each order in $1/M$ and explicitly show that the full static staggered susceptibility has a number of simple poles rather than a branch cut. We compare our results with the $1/N$ expansion for the $O(N)$ sigma-model.

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