Topology and Condensed Matter Physics

• Corporate Author: SpringerLink (Online service)
• Other Authors: Bhattacharjee, Somendra Mohan (Editor), Mj, Mahan (Editor), Bandyopadhyay, Abhijit (Editor)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2017.
• Series: Texts and Readings in Physical Sciences, 19
• Subjects: Mathematics.; Mathematical physics.; Condensed matter.; Mathematical Physics.; Mathematical Applications in the Physical Sciences.; Condensed Matter Physics.

This book introduces aspects of topology and applications to problems in condensed matter physics. Basic topics in mathematics have been introduced in a form accessible to physicists, and the use of topology in quantum, statistical and solid state physics has been developed with an emphasis on pedag...

Table of Contents:

• Chapter 1. Overview of Topological Ideas in Condensed Matter Physics
• Chapter 2. Set Topology
• Chapter 3. Homotopy theory
• Chapter 4. Homology
• Chapter 5. Differential Topology and Differential Geometry
• Chapter 6. Vector Bundles
• Chapter 7. Special Topics: A Crash Course on Knots
• Chapter 8. Special Topics: A Short Course on Group Theory
• Chapter 9. Use of Topology in physical problems
• Chapter 10. What is dimension?
• Chapter 11. Quantum Geometry and Topology
• Chapter 12. Topology, geometry and quantum interference in condensed matter physics
• Chapter 13. Dirac quasiparticles and Majorana modes in condensed matter systems
• Chapter 14. Vertex Models and Knot invariants
• Chapter 15. Concepts of polymer statistical topology
• Chapter 16. Introduction to abelian and non-abelian anyons
• Chapter 17. An introduction to Quantum Spin Liquids
• Chapter 18. Topological aspects of quantum information processing.