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Electron Transport in Metallic Systems.pdf


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Contents
1 Introduction

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Metals and Nonmetals. Band Structure

3 Many-Particle Interacting Systems and Current operator

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4 Tight-Binding and Modified Tight-Binding Approximation
4.1 Tight-binding approximation . . . . . . . . . . . . . . . . . . .
4.2 Interacting electrons on a lattice and the Hubbard model . . .
4.3 Current operator for the tight-binding electrons . . . . . . . . .
4.4 Electron-lattice interaction in metals . . . . . . . . . . . . . . .
4.5 Modified tight-binding approximation . . . . . . . . . . . . . .
5 Charge and Heat Transport
5.1 Electrical resistivity and Ohm law . . . . . .
5.2 Drude-Lorentz model . . . . . . . . . . . . .
5.3 The low- and high-temperature dependence of
5.4 Conductivity of alloys . . . . . . . . . . . . .
5.5 Magnetoresistance and the Hall effect . . . .
5.6 Thermal conduction in solids . . . . . . . . .

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conductivity
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6 Linear Macroscopic Transport Equations

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7 Statistical Mechanics and Transport Coefficients
7.1 Variational principles for transport coefficients . . . . . . . . . . . . . . . . . . . .
7.2 Transport theory and electrical conductivity . . . . . . . . . . . . . . . . . . . . . .

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8 The
8.1
8.2
8.3
8.4

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Method of Time Correlation Functions
Linear response theory . . . . . . . . . . . . . . . . . .
Green functions in the theory of irreversible processes
The electrical conductivity tensor . . . . . . . . . . . .
Linear response theory: pro et contra . . . . . . . . . .

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9 The Nonequilibrium Statistical Operator Method and Kinetic Equations

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10 Generalized Kinetic Equations and Electroconductivity
10.1 Basic formulas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
10.2 Electrical conductivity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

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11 Resistivity of Transition Metal with Non-spherical
11.1 Generalized kinetic equations . . . . . . . . . . . . .
11.2 Temperature dependence of R . . . . . . . . . . . . .
11.3 Equivalence of NSO approach and Kubo formalism .
11.4 High-temperature resistivity and MTBA . . . . . . .

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Fermi
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Surface
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12 Resistivity of Disordered Alloys

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13 Discussion

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