Solid State Physics: A Primer

PRELIMS.pdf
	Foreword
	Presentation of the ‘primer series’
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			Acknowledgements
	Introduction to: ‘Solid state physics: a primer’
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			Acknowledgements
	Author biography
		Luciano Colombo
	Symbols
CH001.pdf
	Chapter 1 The overall picture
		1.1 Basic definitions
		1.2 Synopsis of atomic physics
			1.2.1 Atomic structure
			1.2.2 Angular and magnetic momenta
			1.2.3 Electronic configuration
		1.3 Setting up the atomistic model for a solid state system
			1.3.1 Semi-classical approximation
			1.3.2 Frozen-core approximation
			1.3.3 Non-magnetic and non-relativistic approximations
			1.3.4 Adiabatic approximation
		1.4 Mastering many-body features
			1.4.1 Managing the electron problem: single-particle approximation
			1.4.2 Managing the ion problem: classical approximation
		References
CH002.pdf
	Chapter 2 The crystalline atomic architecture
		2.1 Translational invariance, symmetry, and defects
		2.2 The direct lattice
			2.2.1 Basic definitions
			2.2.2 Direct lattice vectors
			2.2.3 Bravais lattices
			2.2.4 Lattice planes and directions
		2.3 Crystal structures
			2.3.1 The basis
			2.3.2 Classification of the crystal structures
			2.3.3 Packing
		2.4 The reciprocal lattice
			2.4.1 Fundamentals of x-ray diffraction by a lattice
			2.4.2 Von Laue scattering conditions
			2.4.3 Reciprocal lattice vectors
			2.4.4 The Brillouin zone
		2.5 Lattice defects
			2.5.1 Point defects
			2.5.2 Extended defects
		2.6 Classification of solids
		2.7 Cohesive energy
		References
CH003.pdf
	Chapter 3 Lattice dynamics
		3.1 Conceptual layout
		3.2 Dynamics of one-dimensional crystals
			3.2.1 Monoatomic linear chain
			3.2.2 Diatomic linear chain
		3.3 Dynamics of three-dimensional crystals
		3.4 The physical origin of the LO–TO splitting
		3.5 Quantum theory of harmonic crystals
		3.6 Experimental measurement of phonon dispersion relations
		3.7 The vibrational density of states
		References
CH004.pdf
	Chapter 4 Thermal properties
		4.1 The lattice heat capacity
			4.1.1 Historical background
			4.1.2 The Debye model for the heat capacity
			4.1.3 The general quantum theory for the heat capacity
		4.2 Anharmonic effects
			4.2.1 Thermal expansion
			4.2.2 Phonon–phonon interactions
		4.3 Thermal transport
		References
CH005.pdf
	Chapter 5 Elastic properties
		5.1 Basic definitions
			5.1.1 The continuum picture
			5.1.2 The strain tensor
			5.1.3 The stress tensor
		5.2 Linear elasticity
			5.2.1 The constitutive equation
			5.2.2 The elastic tensor
			5.2.3 Elasticity of homogeneous and isotropic media
		5.3 Elastic moduli
		5.4 Thermoelasticity
		References
CH006.pdf
	Chapter 6 Electrons in crystals: general features
		6.1 The conceptual framework
		6.2 The Fermi–Dirac distribution function
		6.3 The Bloch theorem
		6.4 Electrons in a periodic potential
		References
CH007.pdf
	Chapter 7 Free electron theory
		7.1 General features of the metallic state
		7.2 The classical (Drude) theory of the conduction gas
			7.2.1 Electrical conductivity
			7.2.2 Optical properties
			7.2.3 Thermal transport
			7.2.4 Failures of the Drude theory
		7.3 The quantum (Sommerfeld) theory of the conduction gas
			7.3.1 The ground-state
			7.3.2 Finite temperature properties
			7.3.3 More on relaxation times
			7.3.4 Failures of the Sommerfeld theory
		References
CH008.pdf
	Chapter 8 The band theory
		8.1 The general picture
			8.1.1 Bands and gaps
			8.1.2 The weak potential approximation
			8.1.3 Band filling: metals, insulators, semiconductors
		8.2 The tight-binding method
			8.2.1 Bands in a one-dimensional crystal
			8.2.2 Bands in real solids
		8.3 General features of the band structure
			8.3.1 Parabolic bands approximation
			8.3.2 Electron dynamics
			8.3.3 Electric field effects
			8.3.4 Electrons and holes
			8.3.5 Effective mass
		8.4 Experimental determination of the band structure
		8.5 Other methods to calculate the band structure
		References
CH009.pdf
	Chapter 9 Semiconductors
		9.1 Some preliminary concepts
			9.1.1 Doping
			9.1.2 Density of states for the conduction and valence bands
		9.2 Microscopic theory of charge transport
			9.2.1 Drift current in a weak field regime
			9.2.2 Scattering
			9.2.3 Carriers concentration
			9.2.4 Conductivity
			9.2.5 Drift current in a strong field regime
			9.2.6 Diffusion current
			9.2.7 Total current
		9.3 Charge carriers statistics
			9.3.1 Semiconductors in equilibrium
			9.3.2 Chemical potential in intrinsic semiconductors
			9.3.3 Chemical potential in doped semiconductors
			9.3.4 Law of mass action
			9.3.5 Semiconductors out of equilibrium
		9.4 Optical absorption
			9.4.1 Conceptual framework
			9.4.2 Phenomenology of optical absorption
			9.4.3 Inter-band absorption
			9.4.4 Excitons
		References
CH010.pdf
	Chapter 10 Density functional theory
		10.1 Setting the problem and cleaning up the formalism
		10.2 The Hohenberg–Kohn theorem
		10.3 The Kohn–Sham equations
		10.4 The exchange-correlation functional
		10.5 The practical implementation and applications
		References
CH011.pdf
	Chapter 11 What is missing in this ‘Primer’
APP1.pdf
	Chapter
		Reference
APP2.pdf
	Chapter
		B.1 Alloys
		B.2 Polycrystals
		B.3 Quasi-crystals
		References
APP3.pdf
	Chapter
		C.1 Basic definitions
		C.2 Internal energy
		C.3 Thermodynamic potentials
		C.4 Some thermodynamic materials properties
		References
APP4.pdf
	Chapter
		D.1 The rigid ion model
		D.2 The shell model
		D.3 The bond charge model
		References
APP5.pdf
	Chapter
		E.1 Identical particles
		E.2 Fermi–Dirac statistics
		E.3 Bose–Einstein statistics
		References
APP6.pdf
	Chapter
		References
APP7.pdf
	Chapter
		G.1 From atomic orbitals to Bloch sums
		G.2 The two-centre approximation
		G.3 Calculating the hopping energy integrals
		G.4 Tight binding at work
		References
APP8.pdf
	Chapter
		References
APP9.pdf
	Chapter
		References