A topological phase can be engineered in quantum physics from the Bloch sphere of a spin-
1/2 showing a hedgehog structure as a result of a radial magnetic field. We elaborate on a …

Quantum impurity models with frustrated Kondo interactions can support quantum critical
points with fractionalized excitations. Recent experiments [W. Pouse, Nat. Phys.(2023) …

Identifying phase boundaries of interacting systems is one of the key steps to understanding
quantum many-body models. The development of various numerical and analytical methods …

We show how the Z 2 topological index of a one-dimensional topological p-wave
superconductor can be revealed when driving with a classical vector potential, ie, an …

We document the ground state phase diagram of the one-dimensional Kitaev chain with
quasi-periodic disorder in the presence of two-body interactions. Our data were obtained for …

Here, we reveal our recent progress on a geometrical approach of quantum physics and
topological crystals linking with Dirac magnetic monopoles and gauge fields through …

We have recently identified a protected topological semimetal in graphene which presents a
zero-energy edge mode robust to disorder and interactions. Here, we address the …

We present a comprehensive theoretical study of interacting and disordered topological
phases of coupled Kitaev wires, which may support further realistic applications of Majorana …

This PhD thesis is concerned with the interplay of effects of disorder, localization, interaction
with the environment and topology in quantum many-body systems. It aims at studying said …

We show that topological superconductivity can be produced by strong electron-electron
(ee) interaction in two minimal one (1D) and two-dimensional (2D) models containing only …