Focusing on many-body perturbation theory, this advanced text integrates theoretical spectroscopy applications in condensed matter, including crystals and nanosystems. It thoroughly covers electron-electron and spin interactions, deriving key equations like Dyson and Bethe-Salpeter. The book's structure includes a comprehensive exploration of quantum-field theory, ground state energy via density functional theory, charged excitations, and response functions relevant to various spectroscopies. Selected computational and experimental results are critically discussed, enhancing understanding for graduate students and researchers alike.
This advanced text unifies the many-body theoretical basis and applications of theoretical spectroscopy in condensed matter, including crystals, nanosystems, and molecules, catering to graduate students and active researchers. It develops theory from first principles, fully incorporating electron-electron and spin interactions, using many-body perturbation theory, quantum-field theory, and Green's functions. Key expressions for ground states and electronic single-particle and pair excitations are explained, with derivations of the Dyson and Bethe-Salpeter equations applied to calculate spectral and response functions. Important spectra are those measurable through photoemission, optical spectroscopy, and electron energy loss/inelastic X-ray spectroscopy, with significant approximations discussed alongside computational and experimental results. The text is organized into four parts: (i) describing many-electron systems within quantum-field theory, including electron spin and spin-orbit interaction, and deriving sum rules; (ii) focusing on the ground state of electronic systems through density functional theory and key approximations for exchange and correlation; (iii) detailing charged electronic excitations, discussing central approximations like Hedin's GW and the T-matrix approximation; and (iv) concentrating on response functions in optical and loss spectroscopies, as well as neutral pair or collective excitations.
In recent decades, surface and interface physics has emerged as a vital subdiscipline within condensed matter physics, intersecting with crystallography, chemistry, biology, and materials science. Key drivers of this field's development include advancements in semiconductor technology, new materials, epitaxy, and chemical catalysis. The electrical and optical properties of semiconductor-based nanostructures are significantly influenced by interfaces. A microscopic understanding of growth processes necessitates investigating surface processes at the atomic level, where elementary actions like adsorption and desorption are crucial for grasping heterogeneous catalysis. Remarkable progress has been made in studying surfaces, particularly at a microscopic scale. This advancement is attributed to two main factors: the development of powerful new microscopes, such as scanning tunneling microscopy, which enables the observation of individual atoms and their movements with unprecedented clarity, and the theoretical progress stemming from the widespread availability and increased power of computers. These innovations have transformed our ability to analyze and understand surface phenomena in materials science.
