Transitions et interfaces entre phases topologiques

par Valentin Crepel

Projet de thèse en Physique

Sous la direction de Nicolas Regnault.

Thèses en préparation à Paris Sciences et Lettres , dans le cadre de Physique en Île de France , en partenariat avec Laboratoire Pierre Aigrain (Paris) (laboratoire) et de École normale supérieure (Paris ; 1985-....) (établissement de préparation de la thèse) depuis le 01-09-2018 .


  • Résumé

    A major component in condensed matter that will be developed over the next few years is the engineering of new systems hosting non-abelian excitations. These excitations, which include the elusive Majorana fermions, could potentially naturally emerge in system such as the fractional quantum Hall effect. But they are at best fragile and in any case, hard to control. We intend to focus on directly engineering systems where they would be the natural excitations but more robust and easier to detect and manipulate. Among the possible examples are the topological superconductors, such as the celebrated Kitaev chain model. They typically involve models in which the particle number operator is not conserved. Other possible artificial systems are nanotubes with induced superconductivity or an artificial Su-Schrieffer-Heeger model that does not involve any superconductivity. We want to extend these ideas of topology, Majorana fermions and parafermions.

  • Titre traduit

    Livin' on the edge : from transitions to engineering in topological order through boundary effects


  • Résumé

    A major component in condensed matter that will be developed over the next few years is the engineering of new systems hosting non-abelian excitations. These excitations, which include the elusive Majorana fermions, could potentially naturally emerge in system such as the fractional quantum Hall effect. But they are at best fragile and in any case, hard to control. We intend to focus on directly engineering systems where they would be the natural excitations but more robust and easier to detect and manipulate. Among the possible examples are the topological superconductors, such as the celebrated Kitaev chain model. They typically involve models in which the particle number operator is not conserved. Other possible artificial systems are nanotubes with induced superconductivity or an artificial Su-Schrieffer-Heeger model that does not involve any superconductivity. We want to extend these ideas of topology, Majorana fermions and parafermions.