X-ray diffraction (XRD) is an important and widely used material characterization technique.
With the recent development in material science technology and understanding, various …

Topological materials have become the focus of intense research in recent years, since they
exhibit fundamentally new physical phenomena with potential applications for novel devices …

Motivated by cold atom experiments on Chern insulators, we study the honeycomb lattice
Haldane-Hubbard Mott insulator of spin-1/2 fermions using exact diagonalization and …

Symmetry fractionalization describes the fascinating phenomena that excitations in a 2D
topological system can transform under symmetry in a fractional way. For example in …

The interplay of symmetry and topological order leads to a variety of distinct phases of
matter, the symmetry enriched topological (SET) phases. Here we discuss physical …

In quantum spin liquids, fractional spinon excitations carry half-integer spins and other
fractional quantum numbers of lattice and time-reversal symmetries. Different patterns of …

We propose a family of order parameters to detect the symmetry fractionalization class of
anyons in 2D topological phases. This fractionalization class accounts for the projective, as …

We study a simple model of symmetry-enriched topological order obtained by decorating a
toric code model with lower-dimensional symmetry-protected topological states. We show …

The fascinating quantum effect known as entanglement emerges from microscopic
interactions and leads to collective quantum phenomena that are profoundly different from …

This thesis contributes to the understanding of symmetry-enriched topological phases
focusing on their descriptions in terms of tensor network states. The Projected Entangled …