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A Brief Introduction to Topology and Differential Geometry in Condensed Matter Physics


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Table of Contents

  • Preface
  • Acknowledgements
  • Author biography
  • 1. Path integral approach
  • 2. Topology and vector spaces
  • 3. Manifolds and fiber bundle
  • 4. Metric and curvature
  • 5. Dirac equation and gauge fields
  • 6. Berry connection and particle moving in a magnetic field
  • 7. Quantum Hall effect
  • 8. Topological insulators
  • 9. Magnetic models
  • Appendices

About the Author

Antonio Sergio Teixeira Pires is a Professor of Physics in the Physics Department at the Universidade Federal de Minas Gerais, Belo Horizonte, Brazil. He received his Ph. D. in Physics from University of California in Santa Barbara in 1976. He works in quantum field theory applied to condensed matter. He is a member of the Brazilian Academy of Science, was an Editor of the Brazilian Journal of Physics and a member of the Advisory Board of the Journal of Condensed Matter Physics. He is also the author of AdS/CFT Correspondence in Condensed Matter, which is another book in the Concise Physics series.

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