- Print ISBN 9780123849540
- Electronic ISBN 9780123849557
Physics of Condensed Matter is designed for a two-semester graduate course on condensed matter physics for students in physics and materials science. While the book offers fundamental ideas and topic areas of condensed matter physics, it also includes many recent topics of interest on which graduate students may choose to do further research. The text can also be used as a one-semester course for advanced undergraduate majors in physics, materials science, solid state chemistry, and electrical engineering, because it offers a breadth of topics applicable to these majors.
The book begins with a clear, coherent picture of simple models of solids and properties and progresses to more advanced properties and topics later in the book. It offers a comprehensive account of the modern topics in condensed matter physics by including introductory accounts of the areas of research in which intense research is underway. The book assumes a working knowledge of quantum mechanics, statistical mechanics, electricity and magnetism and Green's function formalism (for the second-semester curriculum).
Graduate students and advanced undergraduate students doing research in condensed matter physics, materials science, solid state chemistry and solid-state areas of electrical engineering.
Chapter 1. Basic Properties of Crystals; 1.1 Crystal Lattices; 1.2 Bravais Lattices in Two- and Three- Dimensions; 1.3 Lattice Planes and Miller Indices; 1.4 Bravais Lattices and Crystal Structures; 1.5 Crystal Defects and Surface Effects; 1.6 Some Simple Crystal Structures; 1.7 Bragg Diffraction; 1.8 Laue Method; 1.9 Reciprocal Lattice; 1.10 Brillouin Zone; 1.11 Diffraction By a Crystal Lattice With a Basis; Problems; References; Chapter 2. Phonons and Lattice Vibrations; 2.1 Lattice Dynamics; 2.2 Lattice Specific heat; 2.3 Second Quantization; 2.4 Quantization of Lattice waves; Problems; References; Chapter 3. Free Electron Model; 3.1 The Classical (Drude) Model of a Metal; 3.2nbsp; Sommerfeld Model; 3.3nbsp; Fermi Energy and the chemical potential.; 3.4nbsp; Specific heat of the electron gas; 3.5nbsp; DC electrical conductivity; 3.6nbsp; The Hall effect; 3.7nbsp; Failures of the Free Electron Model; Problems; References; Chapter 4. Nearly Free Electron Model; 4.1 Electrons in a Weak Periodic Potential; 4.2 Bloch Functions and Bloch Theorem; 4.3 Reduced, Extended and Repeated Zone Schemes; 4.4 Band Index; 4.5 Effective Hamiltonian; 4.6 Proof of Bloch Theorem From Translational Symmetry; 4.7 Approximate Solution Near a Zone Boundary; 4.8 Different Zone Schemes; 4.9 Elementary Band Theory of Solids; 4.10 Metals, Insulators and Semiconductors; 4.11 Brillouin Zones; 4.12 Fermi Surface; Problems; References; Chapter 5. Band Structure Calculations; 5.1. Introduction; 5.2. Tight-Binding Approximation; 5.3. LCAO Method; 5.4. Wannier Functions; 5.5. Cellular Method; 5.6. Orthogonalized Plane Wave (OPW) Method; 5.7. Pseudopotentials; 5.8. Muffin-Tin Potential; 5.9. Augmented Plane Wave (APW) Method; 5.10. Green’s Function Method; 5.11. Model Pseudoptentials; 5.12. Empirical Pseudopotentials; 5.13. First-Principle Pseudopotentials; Problems; References; Chapter 6. Static and Transport Properties of Solids; 6.1. Band Picture; 6.2. Bond Picture; 6.3. Diamond Structure; 6.4.
"This book, with reasonable size, gives a general view of the physics of condensed matter with two main purposes in mind: firstly, to display a coherent and clear picture of classical simple models of crystalline solids, and secondly, to introduce modern topics in a form as simple as possible. It is written in eighteen chapters which are almost self-contained. Furthermore, all keywords of condensed matter are dealt with and expanded in a detailed manner: crystals, phonons, electrons, solids, semiconductors, electronics, spintronics, diamagnetism, paramagnetism, superconductivity, fermions, nanoclusters. This is a standard textbook designed for a one- or two-semester graduate course."--Zentralblatt MATH 1222-1