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Valence-bond theory of highly disordered quantum antiferromagnets

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S. Zhou1, J. A. Hoyos2, V. Dobrosavljević1 and E. Miranda3

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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.


PACS

71.70.Gm Exchange interactions

71.55.-i Impurity and defect levels

75.10.Jm Quantized spin models

Subjects

Condensed matter: electrical, magnetic and optical

Dates

Issue 2 (July 2009)

Received 16 April 2009, accepted for publication 1 July 2009

Published 29 July 2009



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