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

Berry phases have played a crucial role in understanding the physics of electrons in solids, and this book provides a pedagogical introduction to their importance. It outlines their influence on key properties such as electric polarization, anomalous Hall conductivity, and the topological insulating state, and connects physical concepts through computational examples and exercises.

Format: Hardback
Length: 394 pages
Publication date: 01 November 2018
Publisher: Cambridge University Press

Over the past twenty-five years, mathematical concepts associated with geometric phases have emerged as a pivotal aspect in our contemporary understanding of the physics of electrons in solids. These so-called Berry phases encapsulate the global phase that a quantum state attains when the Hamiltonian governing it undergoes a transformation. Beginning at a fundamental level, this book serves as a pedagogical introduction to the significance of Berry phases and curvatures, highlighting their profound influence on numerous essential properties of electrons in solids. These properties encompass electric polarization, anomalous Hall conductivity, and the nature of the topological insulating state. The book's primary objective is to establish connections between physical concepts, providing a robust framework for their integration. By doing so, researchers and students are empowered to explore and forge connections with related fields, fostering a deeper understanding of the subject matter. Throughout the book, computational examples and exercises are incorporated to provide readers with an additional dimension to engage with the central concepts. These examples and exercises offer practical applications, allowing readers to explore the core principles in a hands-on and interactive manner.

Weight: 922g
Dimension: 179 x 252 x 24 (mm)
ISBN-13: 9781107157651