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Geometrically Frustrated Quantum Magnets is a document available to read on EtoBox.
In this thesis we attempt to reach a physical understanding and theoretical description of some of the greatest challenges in the field of frustrated quantum magnetism, mainly the Kagome lattice antiferromagnets. After an introductory review of concepts, we closely examine the Kagome lattice quantum Heisenberg and Ising models. We apply several new techniques based on lattice gauge theories, duality mappings and field theory in order to explore phase diagrams of these models.
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