Solid State Physics

7.

Free Electron Theory

7.1.

Classical Drude Model

7.1.1.

Basic Assumptions

7.1.1.1.

Free Electron Gas

7.1.1.2.

Relaxation Time Approximation

7.1.2.

DC Electrical Conductivity

7.1.2.1.

Ohm's Law Derivation

7.1.2.2.

Conductivity and Resistivity

7.1.2.3.

Temperature Dependence

7.1.3.

AC Conductivity

7.1.3.1.

Frequency-Dependent Response

7.1.3.2.

Plasma Frequency

7.1.4.

7.1.4.1.

Classical Hall Coefficient

7.1.4.2.

Experimental Setup

7.1.4.3.

Charge Carrier Determination

7.1.5.

Thermal Conductivity

7.1.5.1.

Wiedemann-Franz Law

7.1.5.2.

7.1.6.

Limitations of Drude Model

7.1.6.1.

Heat Capacity Problem

7.1.6.2.

Mean Free Path Issues

7.2.

Quantum Free Electron Gas

7.2.1.

Fermi-Dirac Statistics

7.2.1.1.

Distribution Function

7.2.1.2.

Chemical Potential

7.2.1.3.

Temperature Effects

7.2.2.

Ground State Properties

7.2.2.1.

7.2.2.2.

7.2.2.3.

7.2.2.4.

Fermi Temperature

7.2.3.

Density of States

7.2.3.1.

Three-Dimensional Case

7.2.3.2.

Energy Dependence

7.2.3.3.

7.2.4.

Thermodynamic Properties

7.2.4.1.

Electronic Heat Capacity

7.2.4.1.1.

Low Temperature Expansion

7.2.4.1.2.

Sommerfeld Coefficient

7.2.4.2.

Electronic Contribution to Thermal Expansion

7.2.5.

Transport Properties

7.2.5.1.

Electrical Conductivity

7.2.5.1.1.

Quantum Corrections

7.2.5.1.2.

Matthiessen's Rule

7.2.5.2.

Thermal Conductivity

7.2.5.2.1.

Electronic Contribution

7.2.5.2.2.

Wiedemann-Franz Law Modifications

7.2.6.

Magnetic Properties

7.2.6.1.

Pauli Paramagnetism

7.2.6.2.

Landau Diamagnetism

7.2.6.3.

de Haas-van Alphen Effect

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8. Band Theory of Solids