Title: Application of Braid Groups in 2D Hall System Physics: Composite Fermion Structure
Publisher: World Scientific Publishing Company
Publication Date: 2012
Language: English
ISBN 10: 9814412023
ISBN 13: 9789814412025
Binding: Hardcover
Condition: New

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Synopsis

In the present treatise progress in topological approach to Hall system physics is reported, including recent achievements in graphene. The homotopy methods of braid groups turn out to be of particular convenience in order to grasp peculiarity of 2D charged systems upon magnetic field resulting in Laughlin correlations. The real progress in understanding of structure and role of composite fermions in Hall system is provided. The crucial significance of carrier mobility apart from interaction in creation of the fractional quantum Hall effect (FQHE) is described and supported by recent graphene experiments. Recent progress in FQHE field including topological insulators and optical lattices was reviewed and commented in terms of braid group approach. The braid group methods are presented from more general point of view including proposition of pure braid group application.

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