/SoliDRIL

Jupyter notebooks for Solid State Physics courses at EPFL

Primary LanguageJupyter Notebook

SoliDRIL

Jupiter notebooks for Solid State Physics courses at EPFL

TO DO LIST

The (Lower) ones are not urgent. (regular) or (R) are what we discussed

  • Chapter 1: Velocity and current density(lower)

  • Chapter 1: equations of motion (eqs. 1.9 - 1.10) (L)

  • Hall effect(Clas-LOW)

  • 1.Dielectric constants sigma+epsilon: plot the functions Drude+Insulator (Regular)

  • 2.Born- von Karman boundary conditions : particle in 1D box+ (appendixA--Reciprocal lattice(R) (k-states lattice) - [ ] (appendixA--illustration of reciprocal space and the Brillouin zone in 2D (draft version exists); - [ ] illustrations for understanding central equation (k vs. G, etc.) - [ ] (appendixA--1.Real ---> Reciprocal - [ ] (appendixA--2Reciprocal vs k-space - [ ] (appendixA--3.Real/reciprocal + diffraction(x) - [ ] 4.Bravis/nonbravis

  • 2.Density of states: 1D -- even 2d and 3d (R) illustration of density of states (would be nice also to show dependence on the dimensionality)

  • 2.illustration of the Fermi-Dirac distribution (slider T vs. width) (R)

  • 2.Illustration of cv as function of energy integrant (Demonstrate that states close to ef contributes)

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  • band structure of free electrons in weak periodic potential; illustration of gaps

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  • tight-binding band structure of a 1D chain of identical atoms;

  • tight-binding band structure of a 1D chain with alternating on-site potentials or/and transfer integrals;

  • band structures of 2D lattices (triangular, square, honeycomb, kagome, Lieb);

  • numerical illustration of tight-binding calculations on a model with many atoms per unit cell;

  • construction of 1st, 2nd, 3rd, … Brillouin zones in 2D;

  • demonstration of the definition of wavepacket in the semiclassical model;

  • numerical demonstration of wavepacket propagation;

  • quantum transport in a 1D chain with impurity;

  • quantum transport and quantum confinement in 2D free-electron system;

  • numerical illustration of Anderson localization;

  • Landau levels and quantum oscillations;

  • illustration of Hund’s rule;

  • phonon dispersions and vibrational modes of a 1D chain of identical atoms;

  • phonon dispersions and vibrational modes of a 1D chain of atoms with alternating masses or/and alternating force constants (draft version exists);

  • animation of longitudinal and transverse vibrational modes in 2D (draft version exists);

To check the packages installed:

import pip
installed_packages = pip.get_installed_distributions()
installed_packages_list = sorted(["%s==%s" % (i.key, i.version)
     for i in installed_packages])
print(installed_packages_list)