Modern Methods of Quantum Field Theory in Solid State Physics
Course: Nuclear Power Engineering
Structural unit: Faculty of Physics
Title
Modern Methods of Quantum Field Theory in Solid State Physics
Code
ВБ 1.1
Module type
Вибіркова дисципліна для ОП
Educational cycle
Second
Year of study when the component is delivered
2023/2024
Semester/trimester when the component is delivered
1 Semester
Number of ECTS credits allocated
3
Learning outcomes
Know the basics of theoretical description of systems with disorder.
Know the basic concepts of integer quantum Hall effect.
Solve problems on quantum magnetic oscillations.
Independently use scientific literature and make a report on it.
Form of study
Full-time form
Prerequisites and co-requisites
1. Know the basic laws and concepts of quantum field theory, statistical physics, solid state theory, in particular graphene physics. Know the principles of quantum mechanical description of particle motion in an external magnetic field.
2. Apply previously acquired knowledge of mathematical analysis, differential equations, mathematical physics, quantum mechanics, quantum field theory and statistical physics to solve practical problems of the course modern methods of quantum field theory in solid state physics.
3. Have basic skills in finding and processing specialized literature, calculation of Feynman diagrams.
Course content
Topic 1. The Hague effect - van Alfen.
Topic 2. The Shubnikov effect - de Hague.
Topic 3. Theory of the electron gas field with disorder.
Topic 4. Introduction to KEH. Two-dimensional electronic fluid in a magnetic field.
Topic 5. Integer KEH.
Recommended or required reading and other learning resources/tools
1.E. V. Gorbar, S. G. Sharapov, Fundamentals of graphene physics, Kyiv, 2013. http://bitp.kiev.ua/files/doc/lectures/graphene-2013-book.pdf
2. Alexander Altland and Ben Simons, Condensed Matter Field Theory, Cambridge University Press, 2006 (2nd edition 2010).
3. H. Bruss and K. Flensberg, Many-Body Quantum Theory in Condensed Matter Physics: An Introduction, Oxford University Press, 2004.
4. Piers Coleman, Introduction to Many Body Physics, 2013.
5. M.V. Sadovskyi, Diagrammatics, Computer Research Institute, 2004
6. A.A. Abrikosov, Fundamentals of the theory of metals, 2nd ed. FIZMATLIT, 2009.
7. M.O. Goerbig, Quantum Hall Effects, Preprint arXiv:0909.1998
8. L.S. Levitov, A.V. Shitov, Green's functions. Tasks with solutions, 2nd ed. FIZMATLIT, 2002.
Planned learning activities and teaching methods
Lectures, independent work.
Assessment methods and criteria
Test work, report, test work.
Language of instruction
Ukrainian
Lecturers
This discipline is taught by the following teachers
Departments
The following departments are involved in teaching the above discipline