Concepts in Solids: Lectures on the Theory of SolidsThese lecture notes constitute a course on a number of central concepts of solid state physics ? classification of solids, band theory, the developments in one-electron band theory in the presence of perturbation, effective Hamiltonian theory, elementary excitations and the various types of collective elementary excitation (excitons, spin waves and phonons), the Fermi liquid, ferromagnetic spin waves, antiferromagnetic spin waves and the theory of broken symmetry.The book can be used in conjunction with a survey course in solid state physics, or as the basis of a first graduate-level course. It can be read by anyone who has had basic grounding in quantum mechanics. |
Contents
Introduction | 1 |
A HartreeFock Theory | 9 |
Second Quantization | 15 |
B Energy Bands in Solids | 28 |
OneElectron Band Theory in the Presence of Perturbing Fields | 77 |
Rigorous Basis of Effective Hamiltonian Theory | 91 |
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Common terms and phrases
actual alkali antiferromagnetic approximation assume atom band structure binding energy bosons Bravais lattice Brillouin zone calculation cancellation cell charge classical commutation constant correction corresponding Coulomb course crystals density dielectric dipolar discuss effective hamiltonian theory effective mass eigenstate elementary excitations equation of motion exact exchange excitons fact Fermi surface fermion ferromagnetic field Figure finite Fourier Frenkel frequency hamiltonian Hartree Hartree-Fock hole important instance insulator integral interaction ionic Jones zone long-range lowest magnetic many-body matrix elements metals momentum one-electron operators orbital orthogonal particles perturbation theory phonons Phys physical plane waves potential problem properties quantized quantum quasi-particle R₁ reason reciprocal lattice result rotation scattering Seitz simple solid solid-state solution space spin waves spin-wave symmetry theorem tion transformation vector Wannier functions wave equation wave function wave packet zero zero-point zone boundary