A large repulsion between particles in a quantum system can lead to their localization, an
effect responsible for the Mott insulator phases in strongly correlated materials. In a system …

Topological states of matter exhibit many novel properties due to the presence of robust
topological invariants such as the Chern index. These global characteristics pertain to the …

Topological phase transitions are typically associated with the formation of gapless states.
Spontaneous symmetry breaking can lead to a gap opening, thereby obliterating the …

We propose a minimal effective two-dimensional Hamiltonian for HgTe/CdHgTe quantum
wells (QWs) describing the side maxima of the first valence subband. By using the …

Topological phases of matter are often understood and predicted with the help of crystal
symmetries although they don't rely on them to exist. In this chapter, we review how …

Topological phase transitions occur in real materials as well as quantum engineered
systems, all of which differ greatly in terms of dimensionality, symmetries, interactions, and …

We study a three-component fermionic fluid in an optical lattice in a regime of intermediate to
strong interactions allowing for optical processes connecting the different components …

The concept of the local Chern marker has gained much attention, especially in the field of
ultracold quantum gases in optical lattices and artificial gauge fields. We investigate in …

Two-dimensional topological insulators possess conducting edge states at their boundary
while being insulating in the bulk. We investigate the edge state emergent at a smooth …

We investigate the stability of destructive quantum interference (DQI) in electron transport
through graphene nanostructures connected to source and drain electrodes. The fingerprint …