Geometry of flux attachment in the fractional quantum hall effect states

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

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.

Original languageEnglish (US)
Title of host publicationTopological Phase Transitions and New Developments
PublisherWorld Scientific Publishing Co. Pte Ltd
Number of pages1
ISBN (Electronic)9789813271340
ISBN (Print)9789813271333
DOIs
StatePublished - Aug 10 2018

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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