Electron Scattering Theory for Ordered and Disordered Matter

This new text approaches the problem of the electronic structure of solid matter in terms of multiple scattering theory. It includes a short review of local density functional theories, taking the reader step-by-step through the properties of Schrodinger and Dirac Hamiltonians for a central field, and resolvents and Green functions. Ordered and disordered systems are considered, along with non-relativistic and relativistic schemes. Also discussed are the direct applications of multiple scattering to important aspects of materials science such as band structure spectography, Fermi energy related properties, and the present understanding of magnetic systems. An ideal resource for solid state physicists and materials scientists, this work may also serve as a text for graduate-level students.

The problem of the electronic structure of solid matter is addressed in terms of multiple scattering theory, starting from a short review of local density functional theories, the properties of Schrodinger and Dirac Hamiltonians for a central field, and resolvents and Green functions. Throughout this book, both ordered and disordered systems are considered, as well as non-relativistic and relativistic schemes. Also discussed are the direct applications of multiple scattering to important aspects of modern materials science, such as band structure spectroscopy (XES, XPS, ARUPS, AES), to Fermi energy related properties (specific heat, electron-phonon enhancement, nuclear spin lattice relaxation, conductivity), and the present understanding of magnetic systems.

Introduction; Local density functional theories; Schrodinger and Dirac Hamiltonians for a central field; Resolvents and Green functions; Single-site scattering; Multiple scattering; Multiple scattering theory for disordered systems - the coherent potential approximation; Spectral densities; Some illustrations; Charge self-consistency and total energies; Applications of multiple scattering I: band structure spectroscopy; Applications of multiple scattering II: physical and transport properties related to the Fermi energy; Applications of multiple scattering III: ferromagnetic alloys and finite temperature magnetism