Sökning: "Eddy Ardonne"
Visar resultat 1 - 5 av 6 avhandlingar innehållade orden Eddy Ardonne.
1. Edge Modes of Zn Symmetric Chains
Sammanfattning : In this Licentiate Thesis we will study the topological phases of Z2 and Z3 symmetric chains. We will present the Kitaev chain, a Z2 symmetric model of spinless fermions, and obtain all the eigenstates of the model with an open boundary condition which hosts Majorana zero modes in the topological phase. LÄS MER
2. Study of the phase diagram of Zn symmetric chains
Sammanfattning : In this thesis we study the phase diagrams of Zn symmetric chains. We start with investigating the topological phases of the Kitaev chain, a Z2 symmetric model, with long range couplings and a phase gradient. LÄS MER
3. On Aspects of Anyons and Quantum Graphs
Sammanfattning : This thesis consists of two distinct parts. The first part, based on the first two accompanied papers, is in the field of topological phases of matter and the second part, based on the third accompanied paper, looks at a problem in the field of quantum graphs, a rapidly growing field of mathematical physics. LÄS MER
4. Interacting fermions and non-equilibrium properties of one-dimensional many-body systems
Sammanfattning : Recent experimental progress on ultracold atomic gases have opened up the possibility to simulate many-body systems out of equilibrium. We consider such a system described by the Luttinger model, which is a model of interacting fermions in one spatial dimension.It is well known that the Luttinger model is exactly solvable using bosonization. LÄS MER
5. Topological states of matter in low dimensions
Sammanfattning : A central theme in condensed matter physics is the classification and characterization of states of matter. In the recent decades, it has become evident that there exists a large class of quantum mechanical systems that must be classified according to properties deeply rooted in the mathematical field of topology, rather than in terms of which symmetries they break. LÄS MER
