Theoretical Study on Correlation Effects in Topological Matter

• Κύριος συγγραφέας: Isobe, Hiroki (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Singapore : Springer Singapore : Imprint: Springer, 2017.
• Σειρά: Springer Theses, Recognizing Outstanding Ph.D. Research,
• Θέματα: Physics.; Quantum field theory.; String theory.; Superconductivity.; Superconductors.; Phase transitions (Statistical physics).; Magnetism.; Magnetic materials.; Strongly Correlated Systems, Superconductivity.; Quantum Field Theories, String Theory.; Phase Transitions and Multiphase Systems.; Magnetism, Magnetic Materials.

 This thesis elucidates electron correlation effects in topological matter whose electronic states hold nontrivial topological properties robust against small perturbations. In addition to a comprehensive introduction to topological matter, this thesis provides a new perspective on correlated topological matter. The book comprises three subjects, in which electron correlations in different forms are considered. The first focuses on Coulomb interactions for massless Dirac fermions. Using a perturbative approach, the author reveals emergent Lorentz invariance in a low-energy limit and discusses how to probe the Lorentz invariance experimentally. The second subject aims to show a principle for synthesizing topological insulators with common, light elements. The interplay between the spin–orbit interaction and electron correlation is considered, and Hund's rule and electron filling are consequently found to play a key role for a strong spin–orbit interaction important for topological insulators. The last subject is classification of topological crystalline insulators in the presence of electron correlation. Unlike non-interacting topological insulators, such two- and three-dimensional correlated insulators with mirror symmetry are demonstrated to be characterized, respectively, by the Z4 and Z8 group by using the bosonization technique and a geometrical consideration. 

 Introduction -- Interacting Dirac fermions in (3+1) dimensions -- Tilted Dirac cones in two dimensions -- Generalized Hund's rule for two-atom systems -- Interacting topological crystalline insulators -- Conclusions and prospects.