In a flat Bloch band, the kinetic energy is quenched and single particles cannot propagate
since they are localized due to destructive interference. Whether this remains true in the …

The latest advances in the field of photonics have enabled the simulation of an increasing
number of quantum models in photonic systems, turning them into an important tool for …

We present a method of construction of exact localized many-body eigenstates of the
Hubbard model in decorated lattices, both for U= 0 and U→∞. These states are localized in …

We consider ultracold atoms in a two-dimensional optical lattice of the dice geometry in a
tight-binding regime. The atoms experience a laser-assisted tunneling between the nearest …

We study a two-terminal electronic conductance through an AB 2 ring which is an example
of the family of itinerant geometrically frustrated electronic systems. These systems are …

We consider a waveguide formed in a clean graphene monolayer by a spatially
inhomogeneous magnetic field. The single-particle dispersion relation for this waveguide …

Abstract Controlled Aharonov–Bohm caging of wave train is reported in a quasi-one-
dimensional version of Lieb geometry with next-nearest-neighbor hopping integral within the …

A Sierpinski gasket fractal network model is studied in respect of its electronic spectrum and
magneto-transport when each 'arm'of the gasket is replaced by a diamond shaped Aharonov …

Atheoretical analysis of the e ects caused in graphene monolayers as a result of di erent
external in uences is presented. Due to the special dispersion relation around the Dirac …

This PhD thesis is the culmination of several years of research done mainly at the Institute of
Physics of the University of Freiburg. This thesis is rather unusual in that it is split into two …