(in Polish) Topological insulators

General data

Course ID:	1100-TI
Erasmus code / ISCED:	(unknown) / (unknown)
Course title:	(unknown)
Name in Polish:	Topological insulators
Organizational unit:	Faculty of Physics
Course groups:	(in Polish) Physics (Studies in English), 2nd cycle; courses from list "Topics in Contemporary Physics" (in Polish) Physics (Studies in English); 2nd cycle
ECTS credit allocation (and other scores):	(not available) Basic information on ECTS credits allocation principles: the annual hourly workload of the student’s work required to achieve the expected learning outcomes for a given stage is 1500-1800h, corresponding to 60 ECTS; the student’s weekly hourly workload is 45 h; 1 ECTS point corresponds to 25-30 hours of student work needed to achieve the assumed learning outcomes; weekly student workload necessary to achieve the assumed learning outcomes allows to obtain 1.5 ECTS; work required to pass the course, which has been assigned 3 ECTS, constitutes 10% of the semester student load. view allocation of credits
Language:	English
Full description:	1. The Su-Shrieffer-Heeger model. 2. Edge states. 3. Chiral symmetry. 4. Topological invariants, winding number, and bulk-boundary correspondence. 5. Berry phase, Berry curvature, and the Chern number. 6. Two-dimensional topological insulators and the Qi-Wu-Zhang model. 7. Topological states in the continuous Dirac equation model. 8. Time-reversal symmetric topological insulators. 9. Exceptional points and non-Hermitian topological states.
Bibliography:	János K. Asbóth, László Oroszlány, András Pályi, A Short Course on Topological Insulators, Springer, 2016.
Learning outcomes:	Knowledge: - understanding the concept of a topological insulator and related concepts such as edge states, chiral symmetry, topological invariants, Berry phase and Chern number. - familiarity with basic models including the Su-Shrieffer-Heeger model, the Qi-Wu-Zhang model and the Dirac model. Skills: - ability to determine bulk the spectrum in simple models of topological insulators, including edge states - ability to calculate widning number, Berry phase and Chern number - ability to determine topological states of one- and two-dimensional topological insulators
Assessment methods and assessment criteria:	Homeworks Exam

This course is not currently offered.

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