Quantum spin liquids

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These notes are an introduction to a few selected theoretical ideas in the field of quantum spin liquids: classical zero modes and breakdown of the 1/S expansion, the Lieb-Schultz-Mattis-Hastings theorem and Oshikawa's argument, the short-ranged resonating valence-bond picture, large-N limit (Schwinger bosons) and Z_2 gauge theory.
19 pages. Lectures given at the Les Houches summer school on "Exact Methods in Low-dimensional Statistical Physics and Quantum Computing" (July 2008)

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