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

Author: David Vanderbilt
Publisher: Cambridge : Cambridge University Press, 2018.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: David Vanderbilt
ISBN: 9781316662205 1316662209
OCLC Number: 1067147886
Notes: Title from publisher's bibliographic system (viewed on 05 Nov 2018).
Description: 1 online resource PDF file(s).
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.
Responsibility: David Vanderbilt.

Abstract:

A pedagogical introduction to a set of mathematical ideas associated with Berry phases that have revolutionized understanding of key aspects of the behavior of electrons in solids. Including  Read more...

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'This book brings together almost forty years of progress in understanding how the wavefunctions of electrons in a crystal, and in particular their continuous evolution with momentum, determine Read more...

 
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