Low-dimensional systems and nanostructures 1100-4INZ'LDSN

Inzynieria nanostruktur
Jacek Szczytko, tel. 22-55.32.764

recommended textbooks:

  • John H. Davies, "The physics of low dimensional semiconductors"
  • M. Balkanski, R.F. Wallis "Semiconductor physics and applications",
  • L. Solymar, D. Walsch, "Electrical properties of materials"

plan

  1. Introduction - semiconductor heterostructures [3262 kB]
    Revision of solid state physics: Born-Oppenheimer approximation, Hartree-Fock method and one electron Hamiltonian, periodic potential, Bloch states, band structure, effective mass.
  2. Nanotechnology [3676 kB].
    Revision of solid state physics: tight-binding approximation, Linear Combination of Atomic Orbitals (LCAO). Nanotechnology. Semiconductor heterostructures. Technology of low dimensional structures. Bandgap engineering: straddling, staggered and broken gap. Valence band offset.
  3. Quantum wells (1) [4068 kB]
    Infinite square quantum well. Finite square quantum well. Quantum well in heterostructures: finite square well with different effective masses in the well and barriers.
  4. Quantum wells (2) [2397 kB]
    Harmonic potential (parabolic well). Triangular potential. Wentzel - Krammers - Brillouin (WKB) method. Band structure in 3D, 2D. Coulomb potential in 2D
  5. Quantum dots, Quantum wells in 1D, 2D and 3D [7776 kB]
    Quantum wells in 1D, 2D and 3D. Quantum wires and quantum dots. Bottom-up approach for low-dimensional systems and nanostructures. Energy gap as a function of the well width.
  6. ARTICLE. Tomasz Kazimierczuk, work on the article about quantum dots
    Students have to read the article (Phys. Rev. Lett., Nature, Science, etc.) and answer questions. Discussion.Optical transitions in nanostructures [1470 kB]
    Time-dependent perturbation theory, Fermi golden rule, interband and intraband transitions in semiconductor heterostructures.
    Students have to read the article (Phys. Rev. Lett., Nature, Science, etc.) and answer questions. Discussion.
  7. Carriers in heterostructures [2052]
    Density of states of low dimensional systems. Doping of semiconductors. Heterojunction, p-n junction, metal-semiconductor junction, Schotky barrier
  8. Tunneling transport (1) [2030 kB]
    Continuity equation. Potential step. Tunneling through the barrier. Transfer matrix approach. Resonant tunneling. Quantum unit of conductance.
  9. Tunneling transport (2) [1541 kB], Quantized conductance [1450 kB]
    Quantized conductance. Coulomb blockade, one-electron transistor.
  10. Tunneling transport (3) [5160 kB], Quantized conductance [1450 kB]
    Quantized conductance. Coulomb blockade, one-electron transistor.
  11. Electric field in low-dimensional systems [1597 kB]
    Scalar and vector potentials. Carriers in electric field: scalar and vector potential in Schrodinger equation. Schrodinger equation with uniform electric field. Local density of states. Franz-Kieldysh effect.
  12. Magnetic field in low-dimensional systems [5232 kB]
    Carriers in magnetic field. Schrodinger equation with uniform magnetic field - symmetric gauge, Landau gauge. Landau levels, degeneracy of Landau levels.
  13. Electric and magnetic fields in low-dimensional systems [3341 kB]
    Schrodinger equation with uniform electric and magnetic field. Hall effect. Shubnikov-de Haas effect. Quantum Hall effect. Fractional Quantum Hall Effect. Hofstadter butterfly. Fock-Darvin spectra
  14. Revision [4108 kB]
    Revision and preparing for the exam.

Strona USOS 1100-4INZ16

egzamin

Egzamin 2015/16, link do pracy Quantum Hall Transition in Real Space: From Localized to Extended States, K. Hashimoto et al. Phys. Rev. Lett. 101, 256802 (2008)

acknowledgements

Wykład został stworzony w ramach projektu POKL 04.01.01-00-100/10-00 "Chemia, fizyka i biologia na potrzeby społeczeństwa XXI wieku: nowe makrokierunki studiów I, II i III stopnia"