Compounds of transition metal ions with strong spin-orbit coupling recently attracted
attention due to the possibility to host frustrated bond-dependent anisotropic magnetic …

We provide analytical and numerical insights into the phase diagram and other properties of
the extended Kitaev-Heisenberg model on the honeycomb lattice in the easy-plane limit, in …

We investigate the phase diagram of a bilayer Kitaev honeycomb model with Ising interlayer
interactions, deriving effective models via perturbation theory and performing Majorana …

Motivated by the experimental realization of quantum spin models of polar molecule KRb in
optical lattices, we analyze the spin 1/2 dipolar Heisenberg model with competing …

We report the magnetic structure and electronic properties of the honeycomb
antiferromagnet NaNi 2 BiO 5.66. We find magnetic order with moments along the c axis for …

Neural network quantum states provide a novel representation of the many-body states of
interacting quantum systems and open up a promising route to solve frustrated quantum …

We study the two-dimensional (2D) Hubbard model using exact diagonalization for spin-1/2
fermions on the triangular and honeycomb lattices decorated with a single hexagon per site …

We study the system of strongly interacting spinor bosons in a square lattice subject to the
isotropic Rashba spin-orbit coupling α= β. It supports a collinear spin-bond correlated …

This dissertation deals with the low-energy physics of the Mott-insulating systems with a
finite spin-orbit coupling. In general, for the Mott-insulating materials one sees a finite charge …

In this thesis, I propose to interpret chemical rules and concepts from a topological, non-
reductionist perspective. This is motivated by the fact that many chemical concepts such as …