01963nam a22002297a 450000500170000000800410001702000180005802800790007608200160015510000230017124500700019426000550026430000210031936500090034050502530034952010130060265000160161565000240163165000290165565000270168470000220171120231103143852.0231103b        |||||||| |||| 00| 0 eng d  a9781107157651  a: Technical Bureaub: E/261, Shastri Nagar, Delhi.c: TB2273d: 27/10/2023  a530.411 VAN  aVanderbilt, David.  aBerry phases in electronic structure theory.c/ David Vanderbilt.  a, Cambridgeb: Cambridge University Pressc, 2018.  ax,384p.c: 26cm.  b7355  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  aOver 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.  aElectronics  aQuantum electronics  aÉlectronique quantique  aElectronic engineering  aDavid Vanderbilt