Return to search

Topological Properties of Interacting Fermionic Systems

This thesis is a study of three categories of problems in fermionic systems for which topology plays an important role: (i) The properties of zero modes arising in systems of fermions interacting with a bosonic background, with a special focus on Majorana modes arising in the superconductor state. We propose a method for counting Majorana modes and we study a mechanism for controlling their number parity in lattice systems, two questions that are of relevance to the protection of quantum bits. (ii) The study of dispersionless bands in two dimensions as a platform for correlated physics, where it is shown the possibility of stabilizing the fractional quantum Hall effect in a flat band with Chern number. (iii) The extension of the hierarchy of quantum Hall fluids to the case of time-reversal symmetric incompressible ground states describing a phase of strongly interacting topological insulators in two dimensions. / Physics

Identiferoai:union.ndltd.org:harvard.edu/oai:dash.harvard.edu:1/10058475
Date17 December 2012
CreatorsDos Santos, Luiz Henrique Bravo
ContributorsHalperin, Bertrand I.
PublisherHarvard University
Source SetsHarvard University
Languageen_US
Detected LanguageEnglish
TypeThesis or Dissertation
Rightsopen

Page generated in 0.0018 seconds