Lehrende/r: Univ.-Prof. Dr. Yuriy Mokrousov
Veranstaltungsart: Vorlesung
Anzeige im Stundenplan: 08.128.7006
Semesterwochenstunden: 2
Unterrichtssprache: Englisch
Min. | Max. Teilnehmerzahl: - | -
Voraussetzungen / Organisatorisches: Registration via Jogustine "Registration -> Auditor registration -> (Physics) 5.2. Specialised Courses" / Anmeldung über Jogustine "Anmeldung -> Höreranmeldung -> (Physik) 5.2. Spezialvorlesungen"
Inhalt: The physics and required mathematical background of geometrical and topological phases in non-relativistic quantum physics are discussed in depth, with a particular attention to selected applications in spintronics and magnetism. The course seeks to maintain a balance between presenting mathematical background uncommon to most physicists with profound physical applications. The course aims to be self-contained and requires basic knowledge of mathematics and band theory of solids. The fundamental principles of topology and geometry are applied to selected aspects of magnetic systems such as: topology of spin, Berry phase in spin systems, skyrmions, spin-orbit torque, spin Hall effect and quantized magneto-electric response. The covered material includes the following topics: - Topological and differential manifolds - Topology of spin systems: dynamics and response to external perturbations - Fiber-bundles, connections, gauge theories - Transport properties of spin systems: from Hall effects to spin orbit torque - Homotopy, holonomy and cohomology theory - Characteristic classes and Chern-Simons forms - Introduction into the non-commutative geometry and topology - Magnetic systems: from quantization of charge to skyrmions - Orbital magnetism and magneto-electric phenomena - Topological Magnonics Empfohlene Literatur: M. Nakahara, "Geometry, Topology and Physics", CRC Press (2003) A. Bohm et al. "The Geometric Phase in Quantum Systems", Springer (2003) Xiao, Chang, Niu, "Berry phase effects on electronic properties", Reviews of Modern Physics (2010)
