# 402-0595-00L Semiconductor Nanostructures

Semester | Autumn Semester 2020 |

Lecturers | T. M. Ihn |

Periodicity | yearly recurring course |

Language of instruction | English |

Abstract | The course covers the foundations of semiconductor nanostructures, e.g., materials, band structures, bandgap engineering and doping, field-effect transistors. The physics of the quantum Hall effect and of common nanostructures based on two-dimensional electron gases will be discussed, i.e., quantum point contacts, Aharonov-Bohm rings and quantum dots. |

Objective | At the end of the lecture the student should understand four key phenomena of electron transport in semiconductor nanostructures: 1. The integer quantum Hall effect 2. Conductance quantization in quantum point contacts 3. the Aharonov-Bohm effect 4. Coulomb blockade in quantum dots |

Content | 1. Introduction and overview 2. Semiconductor crystals: Fabrication and band structures 3. k.p-theory, effective mass 4. Envelope functions and effective mass approximation, heterostructures and band engineering 5. Fabrication of semiconductor nanostructures 6. Elektrostatics and quantum mechanics of semiconductor nanostructures 7. Heterostructures and two-dimensional electron gases 8. Drude Transport 9. Electron transport in quantum point contacts; Landauer-Büttiker description 10. Ballistic transport experiments 11. Interference effects in Aharonov-Bohm rings 12. Electron in a magnetic field, Shubnikov-de Haas effect 13. Integer quantum Hall effect 14. Coulomb blockade and quantum dots |

Lecture notes | T. Ihn, Semiconductor Nanostructures, Quantum States and Electronic Transport, Oxford University Press, 2010. |

Literature | In addition to the lecture notes, the following supplementary books can be recommended: 1. J. H. Davies: The Physics of Low-Dimensional Semiconductors, Cambridge University Press (1998) 2. S. Datta: Electronic Transport in Mesoscopic Systems, Cambridge University Press (1997) 3. D. Ferry: Transport in Nanostructures, Cambridge University Press (1997) 4. T. M. Heinzel: Mesoscopic Electronics in Solid State Nanostructures: an Introduction, Wiley-VCH (2003) 5. Beenakker, van Houten: Quantum Transport in Semiconductor Nanostructures, in: Semiconductor Heterostructures and Nanostructures, Academic Press (1991) 6. Y. Imry: Introduction to Mesoscopic Physics, Oxford University Press (1997) |

Prerequisites / Notice | The lecture is suitable for all physics students beyond the bachelor of science degree. Basic knowledge of solid state physics is a prerequisit. Very ambitioned students in the third year may be able to follow. The lecture can be chosen as part of the PhD-program. The course is taught in English. |