Unit:
Κατεύθυνση Φυσική των ΥλικώνLibrary of the School of Science
Author:
Adamantopoulos Theodoros
Supervisors info:
Φοίβος Μαυρόπουλος, Καθηγητής, Τμήμα Φυσικής, ΕΚΠΑ
Κωνσταντίνος Σφέτσος, Καθηγητής, Τμήμα Φυσικής, ΕΚΠΑ
Δημήτριος Φραντζεσκάκης, Καθηγητής, Τμήμα Φυσικής, ΕΚΠΑ
Original Title:
Geometric phase calculation in crystalline solids and applications in Hall effects
Translated title:
Geometric phase calculation in crystalline solids and applications in Hall effects
Summary:
In the present master thesis a formalism is developed for obtaining the geometric phase and the Berry curvature, within the framework of the relativistic multiple scattering Korringa-Kohn-Rostoker (KKR) method and the density functional theory for the calculation of the electronic structure of solids. The physical significance of geometric phase is known to be featured, among others, to the anomalous Hall effect theory. The Berry curvature which is defined by the Bloch states over the energy bands, stems from the spin-orbit interaction and exhibits very strong variations in the points where the degeneracy of the energy bands due to this interaction is raised. The formalism is applied in the case of the ferromagnetic bcc Fe, for which the numerical stability of the method and the dependence on the spin-orbit interaction strength is examined in a series of numerical experiments. Finally, the temperature dependence of the anomalous Hall conductivity is also studied.
Main subject category:
Science
Keywords:
Geometric phase, Berry phase, Berry curvature, anomalous Hall effect, anomalous Hall conductivity, multiple scattering, KKR method, density functional theory
