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 236
... limit will be lim j = t / T → ∞ neffec H ( Ex Ĥ ) , ( 12.54 ) where ne is the total density of electrons minus the total density of holes . The high- field Hall coefficient will then be Roc = 1 neffec ( 12.55 ) Further aspects of the ...
... limit will be lim j = t / T → ∞ neffec H ( Ex Ĥ ) , ( 12.54 ) where ne is the total density of electrons minus the total density of holes . The high- field Hall coefficient will then be Roc = 1 neffec ( 12.55 ) Further aspects of the ...
Page 238
... limit . ++ 43 high - field limit only if the projection of the electric field on în , E · în , vanishes.43 The electric field therefore has the form ( see Figure 12.11 ) E = E ( ' + E1ñ , ( 12.57 ) where â ' is a unit vector ...
... limit . ++ 43 high - field limit only if the projection of the electric field on în , E · în , vanishes.43 The electric field therefore has the form ( see Figure 12.11 ) E = E ( ' + E1ñ , ( 12.57 ) where â ' is a unit vector ...
Page 239
... limit the leading term in the magnetoresistance is ρ = · ( ñ ' · Î ) 2 ( 1 ) . ĥ ' ( 12.63 ) Since ( 1 ) vanishes in the high - field limit , this gives a magnetoresistance that grows without limit with increasing field , and is ...
... limit the leading term in the magnetoresistance is ρ = · ( ñ ' · Î ) 2 ( 1 ) . ĥ ' ( 12.63 ) Since ( 1 ) vanishes in the high - field limit , this gives a magnetoresistance that grows without limit with increasing field , and is ...
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