Friday, October 22, 2004
4:00 PM
Physics Building, Room 204
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The idea that the true dimensionality of a system may differ from its superficial dimensionality appears in many areas of modern theoretical physics. A central theme of recent research in correlated electrons is that two- and three-dimensional materials can, in some cases, show exotic physics familiar from one spatial dimension. Quantum phenomena typically restricted to one dimension, like exact self-duality and a vortex-mediated (Kosterlitz-Thouless) phase transition, can appear in dimensions d>=2 as well. We discuss specific examples of this "dimensional reduction" that are based upon four-spin interactions generated in frustrated magnets and in effective descriptions of some superconductors.

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