Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Domaines cond-mat
Date Vendredi 22 Novembre 2019
Heure 10:00
Institut IPHT
Salle Salle Claude Itzykson, Bât. 774
Nom de l'orateur Cristina Bena And Thierry Jolicoeur
Prenom de l'orateur
Addresse email de l'orateur
Institution de l'orateur IPhT
Titre Topological Phases of Matter (3/6)
Résumé In this series of lectures we will give a broad view of topological systems, including topological insulators, quantum Hall effect, and topological superconductors. We will discuss the properties of Majorana states and other topological edge states in both one-dimensional and two-dimensional systems, as well as the techniques to study the formation of these states and their properties. \par Integer and fractional quantum Hall effects will be discussed notably using the composite fermion contruction of wavefunctions. We will describe fractional charge and statistics of the quantum Hall states and their effective field theoretic description. The pfaffian state proposed to describe the elusive $\nu =5/2$ state will be also decribed.\\ The program of the lectures will include: \\ 1- Topology in solid state systems; Examples of topological materials and topological edge states (e.g. Majorana) \\ 2- Analytical and numerical techniques to derive the formation of edge states \\ 3- 2D electronic systems, Landau levels, integer and fractional quantum Hall effect \\ 4- The Laughlin wavefunction, more fractions composite fermions \\ 5- Multicomponent systems: spins and interlayer phase coherence, quantum Hall ferromagnetism \\ 6- The pfaffian state and its excitations.
Numéro de preprint arXiv
Fichiers attachés
  • 2019-2020.pdf (4458798 bytes) OPEN
  • topology.pdf (8801673 bytes) OPEN

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