Application of Braid Groups in 2D Hall System Physics
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"Application of Braid Groups in 2D Hall System Physics" by Janusz Jacak is a mathematics book and learning resource focused on Devices & Sensors. Best for teachers, students, and readers looking for stronger mathematical understanding.
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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"Application of Braid Groups in 2D Hall System Physics" by Janusz Jacak is a mathematics book and learning resource focused on Devices & Sensors. Best for teachers, students, and readers looking for stronger mathematical understanding.
Topic: Devices & Sensors
Author: Janusz Jacak
Who this is for:
- Teachers and classroom instructors
- Students building subject mastery
- Readers looking for practical learning support
Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.
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.
| Author | Janusz Jacak |
| Publisher | World Scientific |
| Published | 2012 |
| ISBN-13 | 9789814412025 |
| Binding | Hardcover |
| Pages | 160 |
| Language | English |
| Subjects | Mathematics |
| Topic | Devices & Sensors |
Format: Hardcover
Length: 160 pages
Language: English
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