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Valence-bond theory of highly disordered quantum antiferromagnets

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arxiv 0810.3043 v2 pith:VQINAMX3 submitted 2008-10-17 cond-mat.str-el cond-mat.dis-nn

classification cond-mat.str-elcond-mat.dis-nn
keywords antiferromagnetsapproachquantumtheoryadjustableanalyticcapturesdescribe
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We present a large-N variational approach to describe the magnetism of insulating doped semiconductors based on a disorder-generalization of the resonating-valence-bond theory for quantum antiferromagnets. This method captures all the qualitative and even quantitative predictions of the strong-disorder renormalization group approach over the entire experimentally relevant temperature range. Finally, by mapping the problem on a hard-sphere fluid, we could provide an essentially exact analytic solution without any adjustable parameters.

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