Simulation of Quantum Devices

The module introduces quantum mechanical concepts as required for describing quantum effects in nanoscale devices, and provides suitable numerical methods for the simulation of such devices. Topics covered range from the Schrödinger equation and its numerical treatment to quantum transport simulations.

After the successful completion of this module, the students are able to
- apply physical models to the description of quantum nanoelectronic devices and structures
- apply numerical methods to the solution of the physical model equations
- develop basic numerical codes for modeling quantum nanoelectronic devices and structures

Basic physical concepts; a knowledge of semiconductor device fundamentals is helpful, but not required

Lecture with exercises and take-home project
In addition to the lectures and the individual learning methods of the student, an improved understanding is targeted by performing computer exercises in individual and group work.
The theoretical background will be provided in the lectures based on direct instruction/lecturing and interactive discussions with the students. The exercises involve working on the problem sets and programming tasks individually at home, as well as developing the solutions interactively in class. The take-home project involves independent numerical code development.
Workload: 150 hours (60 contact hours, 90 self-study hours)

The following media forms are used:
- Computer-based presentations which also constitute the lecture notes
- Blackboard notes
- Computer demonstrations
- Computer-based exercises, additional blackboard notes and presentation slides for solving problem sets (additionally, sample solutions will be provided)

The lecture is self-contained. The following textbook is recommended as supplementary resource:
- J. H. Davies: The Physics of Low-Dimensional Semiconductors

Oral exam 25 minutes (100%)
By answering questions and discussing given examples, the students show that they understand the quantum mechanical and numerical concepts introduced in this course, and can apply them to quantum nanoelectronic devices and structures. In this context, the numerical code developed as a take-home project will also be discussed.