Berry phases in electronic structure theory / David Vanderbilt.

Call Number	530.4/11
Author	Vanderbilt, David, author.
Title	Berry phases in electronic structure theory / David Vanderbilt.
Physical Description	1 online resource (x, 384 pages) : digital, PDF file(s).
Notes	Title from publisher's bibliographic system (viewed on 29 Oct 2018).
Contents	Introduction -- Invariance and quantization of charges and currents -- Review of electronic structure theory -- Berry phases and curvatures -- Electric polarization -- Topological insulators and semimetals -- Orbital magnetization and axion magnetoelectric coupling.
Summary	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.
Subject	ELECTRONIC STRUCTURE. Geometric quantum phases. QUANTUM ELECTRONICS. ELECTRONICS.
Multimedia	https://doi.org/10.1017/9781316662205

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$a Introduction -- Invariance and quantization of charges and currents -- Review of electronic structure theory -- Berry phases and curvatures -- Electric polarization -- Topological insulators and semimetals -- Orbital magnetization and axion magnetoelectric coupling.

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$a 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.

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Summary	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.
Notes	Title from publisher's bibliographic system (viewed on 29 Oct 2018).
Contents	Introduction -- Invariance and quantization of charges and currents -- Review of electronic structure theory -- Berry phases and curvatures -- Electric polarization -- Topological insulators and semimetals -- Orbital magnetization and axion magnetoelectric coupling.
Subject	ELECTRONIC STRUCTURE. Geometric quantum phases. QUANTUM ELECTRONICS. ELECTRONICS.
Multimedia	https://doi.org/10.1017/9781316662205