Chapter
2.3.1 The Bloch electrons
2.3.2 Demonstration of the Schrodinger equation in terms of the reciprocal lattice vectors
2.4 The temperature dependence of electric resistivity of a metal
2.4.1 Evaluation of the temperature dependence
2.4.2 Comparison between a metal and a nonmetal
2.4.3 Discontinuity of the electric resistance at the melting point
2.5 Metal-nonmetal transitions
Chapter 3. Peierls Transition: Metal-Nonmetal Transition due to the Change of Periodicity
3.1 What happens when the periodicity of a crystal changes?
3.1.1 The case in which the periodicity is doubled
3.1.2 The case in which the periodicity is tripled and the cases for the other periodicity
3.2 Density response function
3.2.1 Derivation of the density auto-correlation function
3.2.2 The density auto-correlation function at the absolute zero
3.2.3 Influence of the finite temperature
3.3.1 The total energy of a one-dimensional system at the absolute zero
3.3.2 The width of the energy gap at the absolute zero
3.4 Peierls transition in realistic materials
3.4.2 Charge density wave
3.4.4 Electric conduction in TTF-TCNQ
3.4.5 Metallization of organic materials under pressure
Chapter 4. Bloch-Wilson Transition Type I: Metal-Nonmetal Transition due to the Band Overlap - Part 1
4.1 The mechanism of the band overlap - Part 1
4.1.1 Isolated atom and polyatomic molecule
4.1.2 The tight-binding approximation - derivation of general equations
4.1.3 One-dimensional and three-dimensional crystals
4.1.4 The broadening of bands and the band overlap
4.1.5 The energy bands of some element metals
4.1.6 Bloch-Wilson transition - Type I and Type II
4.2 Bloch-Wilson transition - Type I
Chapter 5. Bloch-Wilson Transition Type II: Metal-Nonmetal Transition due to the Band Overlap - Part 2
5.1 The mechanism of the band overlap - Part 2
5.1.1 The level difference Delta epsilon mu+1,mu - both (1) when Delta epsilon mu+1,mu is nearly constant and (2) when it is variable
5.1.2 The origin of the energy level difference
5.1.3 The difference of levels depends on the interatomic distance
5.2 The Bloch-Wilson transition of the type II
5.2.1 Element materials in group 14
5.2.3 Se at high temperature and pressure
Chapter 6. Anderson Transition: Metal-Nonmetal Transition due to Disorder
6.1 The Anderson localization
6.1.1 The absence of diffusion in certain random lattices
6.1.2 The tight-binding representation
6.1.3 The theory of the Anderson localization
6.2.1 The Thouless number
6.2.2 Theory of the renormalization group
6.3.1 Metal-nonmetal transition
6.3.2 The critical exponent
6.4 The concept of the Anderson localization
Chapter 7. Mott Transition: Metal-Nonmetal Transition due to Electron Correlation
7.1 A system with a partially-filled band
7.3 Strongly-correlated electron systems
7.3.1 The phase diagrams on the (x e, 2 V/I) plane and on the (x h, 2 V/I) plane
7.3.2 The phase diagrams on the (x h, T) plane
7.3.3 The conditions for the occurrence of the Mott insulator-to-metal transition
7.4 The Mott transition and the Anderson localization
7.5 Fluids under high temperature and high pressure
B Metal-nonmetal transition by the percolation mechanism
C The evaluation of the density auto-correlation function at the absolute zero temperature
D Evaluation of the integrals used in the discussion of the Peierls transition
E The primitive vectors and other properties in 1D and 3D crystals
F Electronic energy in the tight-binding approximation
Physics of Metal-Nonmetal Transitions
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