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Modern methods of quantum field theory in solid state physics

ВБ 1.1

Вибіркова дисципліна для ОП

Second

2023/2024

4 Semester

3

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.

Full-time form

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.

Topic 1. The Hague effect - van Alfen. Topic 2. The Shubnikov effect - the Hague. Topic 3. Theory of the electron gas field with disorder. Topic 4. Introduction to QHE. Two-dimensional electronic fluid in a magnetic field. Topic 5. Integer QHE.

1. Е. В. Горбар, С. Г. Шарапов, Основи фізики графену, Київ, 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. Abrikosiv, Basics of Metal Theory, 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, 20022.

Lectures, independent work.

Test work, report.

Ukrainian