Berry Phases in Electronic Structure Theory
By D. Vanderbilt. 2018
610 citations recorded by the source corpus.
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.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Materials Chemistry
View Paper: https://www.semanticscholar.org/paper/67b93370c4a9462950cb6bb9696edd5950c9da42
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In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
In Materials Chemistry
Citations in the corpus
- Light control with Weyl semimetals (2022, background): “A more rigorous treatment of the shift current requires the modern theory of electric polarization [29] and the formalism of localized Wannier functions [182, 183].”
- Perspective on topological states of non-Hermitian lattices (2019, neutral): “[8, 10, 105, 106].”