The Modern Theory Of Solids International Student Edition

Professor Ziman's classic textbook on the theory of solids was first pulished in 1964. This paperback edition is a reprint of the second edition, which was substantially revised and enlarged in 1972. The value and popularity of this textbook is well attested by reviewers' opinions and by the existence of several foreign language editions, including German, Italian, Spanish, Japanese, Polish and Russian. The book gives a clear exposition of the elements of the physics of perfect crystalline solids. In discussing the principles, the author aims to give students an appreciation of the conditions which are necessary for the appearance of the various phenomena. A self-contained mathematical account is given of the simplest model that will demonstrate each principle. A grounding in quantum mechanics and knowledge of elementary facts about solids is assumed. This is therefore a textbook for advanced undergraduates and is also appropriate for graduate courses.

This book contains advanced subjects in solid state physics with emphasis on the theoretical exposition of various physical phenomena in solids using quantum theory, hence entitled "A modern course in the quantum theory of solids." The use of the adjective "modern" in the title is to reflect the fact that some of the new developments in condensed matter physics have been included in the book. The new developments contained in the book are mainly in experimental methods (inelastic neutron scattering and photoemission spectroscopy), in magnetic properties of solids (the itinerant magnetism, the superexchange, the Hubbard model, and giant and colossal magnetoresistance), and in optical properties of solids (Raman scattering). Besides the new developments, the Green's function method used in many-body physics and the strong-coupling theory of superconductivity are also expounded in great details.

Aimed at graduate students and researchers, this book covers the key aspects of the modern quantum theory of solids, including up-to-date ideas such as quantum fluctuations and strong electron correlations. It presents in the main concepts of the modern quantum theory of solids, as well as a general description of the essential theoretical methods required when working with these systems. Diverse topics such as general theory of phase transitions, harmonic and anharmonic lattices, Bose condensation and superfluidity, modern aspects of magnetism including resonating valence bonds, electrons in metals, and strong electron correlations are treated using unifying concepts of order and elementary excitations. The main theoretical tools used to treat these problems are introduced and explained in a simple way, and their applications are demonstrated through concrete examples.

This book, with analytical solutions to 260 select problems, is primarily designed for the second year core course on materials science. The treatment of the book reflects the author’s experience of teaching this course comprehensively at IIT-Kanpur for a number of years to the students of engineering and 5-year integrated disciplines. The problems have been categorised into five sections covering a wide range of solid state properties. Section 1 deals with the dual representation of a wave and a particle and then comprehensively explains the behaviour of particles within potential barriers. It provides solutions to the problems that how the energy levels of a free atom lead to the formation of energy bands in solids. The statistics of the distribution of particles in different energy states in a solid has been detailed leading to the derivation of Maxwell–Boltzmann, Bose–Einstein, and Fermi–Dirac statistics and their mutual relationships. Quantitative derivation of the Fermi energy has been obtained by considering free electron energy distribution in solids and then considering Fermi–Dirac distribution as a function of temperature. The derivation of the Richardson’s equation and the related work function has been quantitatively dealt with. The phenomenon of tunnelling has been dealt with in terms of quantum mechanics, whereas the band structure and electronic properties of materials are given quantitative treatment by using Fermi–Dirac distribution function. Section 2 deals with the nature of the chemical bonds, types of bonds and their effect on properties, followed by a detailed presentation of crystal structures of some common materials and a discussion on the structures of C60 and carbon nanotubes. Coordination and packing in crystal structures are considered next followed by a detailed X-ray analysis of simple crystal structures, imperfections in crystals, diffusion, phase equilibria, and mechanical behaviour. Section 3 deals with thermal and electrical properties and their mutual relationships. Calculations of Debye frequency, Debye temperature, and Debye specific heat are presented in great detail. A brief section on superconductivity considers both the conventional and the high–TC superconductors. Sections 4 and 5 deal with the magnetic and dielectric materials, considering magnetic properties from the point of view of the band theory of solids. Crystal structures of some common ferrites are given in detail. Similarly, the displacement characteristics in dielectrics are considered from their charge displacements giving rise to some degree of polarization in the materials.

DIVThorough, modern study of solid state physics; solid types and symmetry, electron states, electronic properties and cooperative phenomena. /div