Application Of Braid Groups In 2d Hall System Physics Composite Fermion Structure
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Application Of Braid Groups In 2d Hall System Physics Composite Fermion Structure
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Author : Janusz Jacak
language : en
Publisher: World Scientific
Release Date : 2012-07-13
Application Of Braid Groups In 2d Hall System Physics Composite Fermion Structure written by Janusz Jacak and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-13 with Science categories.
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.
Application Of Braid Groups In 2d Hall System Physics
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Author : Janusz Jacak
language : en
Publisher: World Scientific
Release Date : 2012
Application Of Braid Groups In 2d Hall System Physics written by Janusz Jacak and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Science categories.
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.
Knots Low Dimensional Topology And Applications
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Author : Colin C. Adams
language : en
Publisher: Springer
Release Date : 2019-06-26
Knots Low Dimensional Topology And Applications written by Colin C. Adams and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-26 with Mathematics categories.
This proceedings volume presents a diverse collection of high-quality, state-of-the-art research and survey articles written by top experts in low-dimensional topology and its applications. The focal topics include the wide range of historical and contemporary invariants of knots and links and related topics such as three- and four-dimensional manifolds, braids, virtual knot theory, quantum invariants, braids, skein modules and knot algebras, link homology, quandles and their homology; hyperbolic knots and geometric structures of three-dimensional manifolds; the mechanism of topological surgery in physical processes, knots in Nature in the sense of physical knots with applications to polymers, DNA enzyme mechanisms, and protein structure and function. The contents is based on contributions presented at the International Conference on Knots, Low-Dimensional Topology and Applications – Knots in Hellas 2016, which was held at the International Olympic Academy in Greece in July 2016. The goal of the international conference was to promote the exchange of methods and ideas across disciplines and generations, from graduate students to senior researchers, and to explore fundamental research problems in the broad fields of knot theory and low-dimensional topology. This book will benefit all researchers who wish to take their research in new directions, to learn about new tools and methods, and to discover relevant and recent literature for future study.
Graphene Materials
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Author : George Kyzas
language : en
Publisher: BoD – Books on Demand
Release Date : 2017-05-17
Graphene Materials written by George Kyzas and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-17 with Science categories.
Graphene is, basically, a single atomic layer of graphite, an abundant mineral that is an allotrope of carbon that is made up of very tightly bonded carbon atoms organized into a hexagonal lattice. What makes graphene so special is its sp2 hybridization and very thin atomic thickness (of 0.345 Nm). These properties are what enable graphene to break so many records in terms of strength, electricity, and heat conduction (as well as many others). This book gathers valuable information about the surface chemistry of graphene, some of its properties (electrical, mechanical, etc.), and many of its modifications that can be taken into account.
Integrable Systems And Algebraic Geometry
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Author : Ron Donagi
language : en
Publisher: Cambridge University Press
Release Date : 2020-03-02
Integrable Systems And Algebraic Geometry written by Ron Donagi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-02 with Mathematics categories.
A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.
Quantum Hall Systems
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Author : Lucjan Jacak
language : en
Publisher:
Release Date : 2003
Quantum Hall Systems written by Lucjan Jacak and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
This book presents cutting-edge topics in modern theoretical physics-quantum Hall systems-the subject of two Nobel Prizes in 1985 and 1998.
Recent Advances In Graphene Research
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Author : Pramoda Kumar Nayak
language : en
Publisher: BoD – Books on Demand
Release Date : 2016-10-12
Recent Advances In Graphene Research written by Pramoda Kumar Nayak and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-12 with Technology & Engineering categories.
This book ''Recent Advances in Graphene Research'' provides a state-of-the-art report of the knowledge accumulated in graphene research. It contains 12 chapters divided into three sections. Section 1 ''Fundamentals of Graphene'' deals with quantum hall effect in graphene, electronic properties of carbon nanostructures and spectral statistics of graphene nanoflakes. In Section 2 ''Graphene Synthesis,'' the optimized synthesis procedures of graphene and its derivatives are presented. The application of graphene and its nanostructured-based materials for energy storage, conservation and other extensive applications are described in Section 3 ''Application of Graphene and its Nanostructures''. We believe that this book offers broader prospective to the readers in the recent advances in graphene research, starting from fundamental science to application.
Handbook Of Graphene Volume 2
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Author : Tobias Stauber
language : en
Publisher: John Wiley & Sons
Release Date : 2019-06-28
Handbook Of Graphene Volume 2 written by Tobias Stauber and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-28 with Technology & Engineering categories.
The second volume in a series of handbooks on graphene research and applications Graphene is a valuable nanomaterial used in technology. This handbook features graphene topics related to Physics, Chemistry, and Biology. The Handbook of Graphene, Volume 2 delivers an overview on the numerous and diverse graphene research directions and innovations. The handbook covers a range of areas including graphene in optoelectronic devices and as a detector of biomolecules.
Symmetry And Structural Properties Of Condensed Matter Proceedings Of The Sixth S International School Of Theoretical Physics
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Author : Tadeusz Lulek
language : en
Publisher: World Scientific
Release Date : 2001-05-31
Symmetry And Structural Properties Of Condensed Matter Proceedings Of The Sixth S International School Of Theoretical Physics written by Tadeusz Lulek and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-05-31 with Science categories.
This volume continues the series of proceedings of summer schools on theoretical physics related to various aspects of the structure of condensed matter, and to appropriate mathematical methods for an adequate description. Three main topics are covered: (i) symmetric and unitary groups versus electron correlations in multicentre systems; (ii) conformal symmetries, the Bethe ansatz and quantum groups; (iii) paradoxes of statistics, space-time, and time quantum mechanics. Problems considered in previous schools are merged with some new developments, like statistics with continuous Young diagrams, the existence and structure of energy bands in solids with fullerenes, membranes and some coverings of graphite sheets, or vortex condensates with quantum counterparts of Maxwell lows.
Symmetry And Structural Properties Of Condensed Matter
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Author : Tadeusz Lulek
language : en
Publisher: World Scientific
Release Date : 2001
Symmetry And Structural Properties Of Condensed Matter written by Tadeusz Lulek and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Science categories.
This volume continues the series of proceedings of summer schools on theoretical physics related to various aspects of the structure of condensed matter, and to appropriate mathematical methods for an adequate description. Three main topics are covered: (i) symmetric and unitary groups versus electron correlations in multicentre systems; (ii) conformal symmetries, the Bethe ansatz and quantum groups; (iii) paradoxes of statistics, space-time, and time quantum mechanics. Problems considered in previous schools are merged with some new developments, like statistics with continuous Young diagrams, the existence and structure of energy bands in solids with fullerenes, membranes and some coverings of graphite sheets, or vortex condensates with quantum counterparts of Maxwell lows.