Quantum Phases of the Shraiman-Siggia Model

Abstract

We examine phases of the Shraiman-Siggia model of lightly-doped, square lattice quantum antiferromagnets in a self-consistent, two-loop, interacting magnon analysis. We find magnetically-ordered and quantum-disordered phases both with and without incommensurate spin correlations. The quantum disordered phases have a pseudo-gap in the spin excitation spectrum. The quantum transition between the magnetically ordered and commensurate quantum-disordered phases is argued to have the dynamic critical exponent $z=1$ and the same leading critical behavior as the disordering transition in the pure $O(3)$ sigma model. The relationship to experiments on the doped cuprates is discussed.

16 pages, REVTEX 3.0, 6 uuencoded Postscript figures appended, YCTP-xxxx

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• Universal quantum critical dynamics of two-dimensional antiferromagnets
• Large N expansion for frustrated and doped quantum antiferromagnets
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• Spin Gaps and Spin Dynamics in La_{2-x}Sr_xCuO_4 and YBa_2Cu_3O7_δ
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• Gauge theory for the cuprates near optimal doping
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