Application Of Braid Groups In 2d Hall System Physics: Composite Fermion Structure

Author:   Janusz Jacak (Wroclaw Univ Of Tech, Poland) ,  Ryszard Gonczarek (Wroclaw Univ Of Tech, Poland) ,  Lucjan Jacak (Wroclaw Univ Of Tech, Poland) ,  Ireneusz Jozwiak (Wroclaw Univ Of Tech, Poland)
Publisher:   World Scientific Publishing Co Pte Ltd
ISBN:  

9789814412025


Pages:   160
Publication Date:   07 September 2012
Format:   Hardback
Availability:   In Print   Availability explained
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Application Of Braid Groups In 2d Hall System Physics: Composite Fermion Structure


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Overview

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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Author:   Janusz Jacak (Wroclaw Univ Of Tech, Poland) ,  Ryszard Gonczarek (Wroclaw Univ Of Tech, Poland) ,  Lucjan Jacak (Wroclaw Univ Of Tech, Poland) ,  Ireneusz Jozwiak (Wroclaw Univ Of Tech, Poland)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Dimensions:   Width: 15.20cm , Height: 1.80cm , Length: 22.90cm
Weight:   0.431kg
ISBN:  

9789814412025


ISBN 10:   9814412023
Pages:   160
Publication Date:   07 September 2012
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Introduction; Elements of Hall System Physics in 2D Spaces; Topological Methods of Describing Systems of Many Particles at Various Manifolds; Cyclotron Braids for Multi-Particle Charged 2D Systems in a Strong Magnetic Field; Recent Progress in FQHE Field; Summary; Comments and Supplements.

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