Transport phenomena through Majorana bound states

In this work, we study systems with coupling between fermionic states and Majorana bound states (MBS), which are seen as a fractionalization of the first on the Kitaev model. The MBSs have interesting properties such as satisfying non-Abelian statistics, being of interest in quantum computation impl...

ver descrição completa

Detalhes bibliográficos
Autor: Ramos-Andrade, Juan Pablo
Formato: tesis doctoral
Estado:Versión publicada
Fecha de publicación:2018
País:Chile
OAI Identifier:oai:repositorio.anid.cl:10533/232928
Acesso em linha:https://hdl.handle.net/10533/232928
Access Level:acceso abierto
Palavra-chave:Ciencias Naturales
Ciencias Físicas
Física de la Materia Condensada
Descrição
Resumo:In this work, we study systems with coupling between fermionic states and Majorana bound states (MBS), which are seen as a fractionalization of the first on the Kitaev model. The MBSs have interesting properties such as satisfying non-Abelian statistics, being of interest in quantum computation implementations. Following this, it is important to detect and manipulate these states to this aim. We consider the calculation of electronic and thermoelectric properties to reveal features of the MBSs presence on the systems. The transport quantities are obtained by means of the Green's function method, considering nanostructures hosting MBSs embedded between metallic leads, with and without coupling quantum dots (QDs). We showed that thermoelectric quantities displayed uniques features of MBSs presence, which can be useful to provide detection tools. In the electronic case, the Fano effect is used to characterize the MBSs presence. Besides, we also found that MBS leakage phenomena into QDs can be achieved mediated by other nanostructures, modifying the physical properties of QDs. Moreover, our results allow proposing tools of possible applications, for instance, through monitoring of effective coupling between MBSs belonging to independent topological superconductors. All the signatures of MBSs presence in interaction with other nanostructures studied in this work are useful to going further on its practical utilization.