A bstract In recent years it has been shown that strongly coupled systems become
analytically tractable in the regime of large quantum numbers, such as large spin or large …

The evolution of 1 vortices when their massive bound mode is excited is investigated in
detail (both analytically and numerically) in the Abelian-Higgs model for different ranges of …

We discuss the rapidly rotating states of a superfluid. We concentrate on the giant-vortex
(GV) state, which is a coherent rotating solution with a macroscopic hole at the center. We …

A bstract We elaborate a theory of giant vortices [1] based on an asymptotic expansion in
inverse powers of their winding number n. The theory is applied to the analysis of vortex …

A bstract We introduce a novel point-particle effective description of ANO vortex solitons in
the critical Abelian Higgs Model (AHM) in d= 2+ 1 based on the small winding expansion …

We study Majorana zero modes bound to giant vortices in topological superconductors or
topological insulator/normal superconductor heterostructures. By expanding in inverse …

A bstract Zero-energy solutions of the Dirac equation for the fermions bound to giant vortices
of large winding number n are studied in the abelian Higgs and Chern-Simons Higgs …

We show that when considering a scalar field scattering in a gravitating cosmic string
spacetime, the standard partial-wave approach's scattering amplitude is singular. In order to …

In this work, we propose a parity-invariant Maxwell–Chern–Simons U (1)× U (1) model
coupled with two charged scalar fields in 2+ 1 dimensions, and show that it admits finite …

Part I of this thesis is devoted to a brief introduction of vortices in the paradigmatic scenario
of the 3-dimensional Abelian-Maxwell-Higgs model, followed by a short presentation of the …