Solid State Physics

11.

Magnetic Properties

11.1.

Fundamental Concepts

11.1.1.

Magnetic Moments

11.1.1.1.

Orbital Angular Momentum

11.1.1.2.

Spin Angular Momentum

11.1.1.3.

Magnetic Dipole Moment

11.1.2.

Magnetic Fields and Interactions

11.1.2.1.

External Magnetic Field

11.1.2.2.

Internal Magnetic Fields

11.1.2.3.

11.1.3.

Magnetic Susceptibility

11.1.3.1.

Temperature Dependence

11.1.3.2.

Measurement Techniques

11.2.

11.2.1.

Larmor Diamagnetism

11.2.1.1.

Classical Theory

11.2.1.2.

Larmor Frequency

11.2.2.

Landau Diamagnetism

11.2.2.1.

11.2.2.2.

Free Electron Gas

11.2.2.3.

11.2.3.

Perfect Diamagnetism

11.2.3.1.

Superconductors

11.2.3.2.

Meissner Effect

11.3.

11.3.1.

Localized Magnetic Moments

11.3.1.1.

11.3.1.2.

11.3.1.3.

Brillouin Function

11.3.2.

Conduction Electron Paramagnetism

11.3.2.1.

Pauli Paramagnetism

11.3.2.2.

Temperature Independence

11.3.3.

Van Vleck Paramagnetism

11.3.3.1.

Temperature-Independent Contribution

11.4.

Magnetic Ordering

11.4.1.

Exchange Interactions

11.4.1.1.

Direct Exchange

11.4.1.2.

Indirect Exchange

11.4.1.3.

11.4.2.

Heisenberg Model

11.4.2.1.

Spin Hamiltonian

11.4.2.2.

Mean Field Theory

11.4.3.

11.4.3.1.

Spontaneous Magnetization

11.4.3.2.

Curie Temperature

11.4.3.3.

Weiss Molecular Field

11.4.3.4.

Magnetic Domains

11.4.3.4.1.

Domain Formation

11.4.3.4.2.

11.4.3.4.3.

Hysteresis Loop

11.4.4.

Antiferromagnetism

11.4.4.1.

Néel Temperature

11.4.4.2.

Sublattice Magnetization

11.4.4.3.

Magnetic Structure

11.4.5.

11.4.5.1.

Unequal Sublattice Moments

11.4.5.2.

Compensation Temperature

11.4.5.3.

Magnetic Garnets

11.5.

Magnetic Excitations

11.5.1.

11.5.1.1.

Spin Wave Theory

11.5.1.2.

Dispersion Relations

11.5.1.3.

Magnon-Phonon Interactions

11.5.2.

Magnetic Resonance

11.5.2.1.

Ferromagnetic Resonance

11.5.2.2.

Antiferromagnetic Resonance

11.5.2.3.

Electron Spin Resonance

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