The unexpected experimental discovery of the topologically-ordered Fractional Quantum Hall (FQH) states showed that the powerful diagrammatic perturbation theoretic methods of the time were only useful for a subclass of problems adiabatically related to free-particle problems, and instead, Laughlin's discovery of a model state that describes "flux attachment" to form composite particles has been the source of most subsequent understanding of the effect. In recent years, it has become apparent that "flux attachment" has important sort-distance geometrical properties as well as long-distance topological entanglement properties. I will describe geometric analogies between the unit cell of a solid and the "composite boson" which is the elementary unit of incompressible FQH liquids, and the place for "composite fermions" in their description.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)