Application Of Braid Groups In 2d Hall System Physics: Composite Fermion Structure
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A01=Ireneusz Jozwiak
A01=Janusz Jacak
A01=Lucjan Jacak
A01=Ryszard Gonczarek
Author_Ireneusz Jozwiak
Author_Janusz Jacak
Author_Lucjan Jacak
Author_Ryszard Gonczarek
Braid Groups
Category=PHQ
Composite Fermions
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Fractional Quantum Hall Effect
Graphene
Topology Methods In Physics
Product details
- ISBN 9789814412025
- Publication Date: 07 Sep 2012
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
