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Berry Phases in Electronic Structure Theory

Berry Phases in Electronic Structure Theory
Electric Polarization, Orbital Magnetization and Topological Insulators

c.$89.99 ( )

  • Publication planned for: November 2018
  • availability: Not yet published - available from November 2018
  • format: Hardback
  • isbn: 9781107157651

c.$ 89.99 ( )

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About the Authors
  • Over the past twenty-five years, mathematical concepts associated with geometric phases have come to occupy a central place in our modern understanding of the physics of electrons in solids. These 'Berry phases' describe the global phase acquired by a quantum state as the Hamiltonian is changed. Beginning at an elementary level, this book provides a pedagogical introduction to the important role of Berry phases and curvatures, and outlines their great influence upon many key properties of electrons in solids, including electric polarization, anomalous Hall conductivity, and the nature of the topological insulating state. It focuses on drawing connections between physical concepts and provides a solid framework for their integration, enabling researchers and students to explore and develop links to related fields. Computational examples and exercises throughout provide an added dimension to the book, giving readers the opportunity to explore the central concepts in a practical and engaging way.

    • Online resources include a PythTB code package which is used for computational examples and exercises
    • Explores in detail the methods that lie at the heart of modern notions about topological insulators
    • The self-contained approach enables less experienced students to learn the essential concepts
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    Product details

    • Publication planned for: November 2018
    • format: Hardback
    • isbn: 9781107157651
    • dimensions: 247 x 174 mm
    • contains: 100 b/w illus.
    • availability: Not yet published - available from November 2018
  • Table of Contents

    1. Invariance and quantization of charges and currents
    2. Review of electronic structure theory
    3. Berry phases and curvatures
    4. Electric polarization
    5. Topological insulators and semimetals
    6. Orbital magnetization and axion magnetoelectric coupling
    Appendix A. Fourier transform conventions
    Appendix B. Optimal alignment and the singular value decomposition
    Appendix C. Gauge transformation of the Chern–Simons axion coupling
    Appendix D. The PythTB package

  • Author

    David Vanderbilt, Rutgers University, New Jersey
    David Vanderbilt is Board of Governors Professor of Physics at Rutgers University, New Jersey, where he has made significant contributions to computational condensed matter physics. He is a Fellow of the American Physical Society and a member of the National Academy of Sciences, and was awarded the prestigious Rahman Prize in Computational Physics of the American Physical Society in 2006.

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