000			01595 a2200193 4500
020			_a9781107157651
040			_cIIT Kanpur
041			_aeng
082			_a530.4 _bV28b
100			_aVanderbilt, David
245			_aBerry phases in electronic structure theory _belectric polarization, orbital magnetization and topological insulators _cDavid Vanderbilt
260			_bCambridge University Press _c2018 _aCambridge
300			_ax, 384p
520			_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.
650			_aElectronic structure
650			_aGeometric quantum phases
650			_aQuantum electronics
942			_cBK _01
999			_c559795 _d559795