Solid State PhysicsThis book provides an introduction to the field of solid state physics for undergraduate students in physics, chemistry, engineering, and materials science. |
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Page 132
... problem of an electron in a potential U ( r ) with the periodicity of the underlying Bravais lattice ; i.e. , for all Bravais lattice vectors R. U ( r + R ) U ( r ) = ( 8.1 ) Since the scale of periodicity of the potential U ( ~ 10−8 ...
... problem of an electron in a potential U ( r ) with the periodicity of the underlying Bravais lattice ; i.e. , for all Bravais lattice vectors R. U ( r + R ) U ( r ) = ( 8.1 ) Since the scale of periodicity of the potential U ( ~ 10−8 ...
Page 140
... problem restricted to a single primitive cell of the crystal . Because the eigenvalue problem is set in a fixed finite volume , we expect on general grounds to find an infinite family of solutions with discretely spaced eigenvalues , 16 ...
... problem restricted to a single primitive cell of the crystal . Because the eigenvalue problem is set in a fixed finite volume , we expect on general grounds to find an infinite family of solutions with discretely spaced eigenvalues , 16 ...
Page 369
... problem of how such Bloch functions with complex wave vectors can be matched onto exponentially decaying levels in empty space . Features of such solutions in the nearly free electron approximation are explored in Problem 2 . PROBLEMS 1 ...
... problem of how such Bloch functions with complex wave vectors can be matched onto exponentially decaying levels in empty space . Features of such solutions in the nearly free electron approximation are explored in Problem 2 . PROBLEMS 1 ...
Contents
The Drude Theory of Metals | 1 |
The Sommerfeld Theory of Metals | 29 |
Failures of the Free Electron Model | 57 |
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alkali atomic band structure Bloch boundary condition Bragg plane Bravais lattice Brillouin zone calculation carrier densities Chapter coefficients collisions conduction band conduction electrons contribution crystal momentum density of levels dependence described determined Drude effect electric field electron gas electron-electron electronic levels energy gap equilibrium example Fermi energy Fermi surface Figure frequency given Hamiltonian hexagonal holes impurity independent electron approximation insulators integral interaction ionic crystals k-space k₂ lattice point linear magnetic field metals motion nearly free electron neutron normal modes Note number of electrons one-electron levels orbits periodic potential perpendicular phonon Phys plane waves primitive cell primitive vectors problem properties quantum reciprocal lattice vector region result scattering Schrödinger equation semiclassical semiclassical equations semiclassical model semiconductors simple cubic solid solution specific heat sphere spin superconducting symmetry temperature term thermal tight-binding valence valence band vanishes velocity wave functions wave vector zero