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Quantum Geometry, Exclusion Statistics, and the Geometry of "Flux Attachment" in 2D Landau levels

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Duncan Haldane talks about Quantum Geometry, Exclusion Statistics, and the Geometry of "Flux Attachment" in 2D Landau levels.
The degenerate partially-filled 2D Landau level is a remarkable environment in which kinetic energy is replaced by "quantum geometry" (or an uncertainty principle) that quantises the space occupied by the electrons quite differently from the atomic-scale quantisation by a periodic arrangement of atoms. In this arena, when the short-range part of the Coulomb interaction dominates, it can lead to "flux attachment", where a particle (or cluster of particles) exclusively occupies a quantised region of space. This principle underlies both the incompressible fractional quantum Hall fluids an the composite fermion Fermi liquid states that occur in such systems.

Episode Information

People
Duncan Haldane
Keywords
quantum
anyon
statistics
Department: 
Date Added: 11/10/2016
Duration: 01:16:53

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