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

Abstract

We use the $1/M$ expansion for the $C{P}^{M-1}$ 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.

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

References in corpus (2)

• Theory of Two-Dimensional Quantum Heisenberg Antiferromagnets with a Nearly Critical Ground State
• Quantum Phase Transition in Frustrated Two-Dimensional Antiferromagnets

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