Objectif Most phases of matter can be understood using the concept of symmetry breaking. For example, the organization of water molecules in an ice crystal breaks the continuous translational symmetries that are preserved in liquid water. The discovery of the quantum Hall effect triggered a revolution of this concept. It was the first example of topological order, a type of order that cannot be detected with any local measurement and supports exciting new properties. A striking example is the universal transport properties which are so robust that metrologists use them to define the quantum of conductance. Additionally, exotic particles with fractionalized quantum numbers called anyons may emerge as collective excitations of these systems and could provide a route to fault-tolerant quantum computing. Despite the increasingly good theoretical understanding of fractionalized phases, there is a strong need to relate the theories to experimentally relevant models.sharpEDGE will build new bridges between the effective and microscopic descriptions of fractionalized phases of matter. This requires us to solve a cumbersome quantum many-body problem. Numerical methods are essential here: they have accompanied the progress of the field since its early days, and the most recent developments give hope to solve some long-standing issues. We will thus apply a multidisciplinary approach combining the latest advances in topological quantum field theory, quantum information, and material science. Fractionalization may occur in gapped systems such as the fractional quantum Hall effect, lattice topological insulators or frustrated magnets, but also in exotic metallic phases. In this context, we will explore the microscopic relation between the edge and the bulk of gapped topological phases, and develop new characterization tools for gapless phases. Champ scientifique social sciencespolitical sciencespolitical transitionsrevolutionsnatural sciencesphysical sciencesquantum physicsquantum field theoryengineering and technologyelectrical engineering, electronic engineering, information engineeringelectronic engineeringcomputer hardwarequantum computersnatural sciencesmathematicsapplied mathematicsnumerical analysis Programme(s) H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions Main Programme H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility Thème(s) MSCA-IF-2016 - Individual Fellowships Appel à propositions H2020-MSCA-IF-2016 Voir d’autres projets de cet appel Régime de financement MSCA-IF-GF - Global Fellowships Coordinateur CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS Contribution nette de l'UE € 215 699,40 Adresse RUE MICHEL ANGE 3 75794 Paris France Voir sur la carte Région Ile-de-France Ile-de-France Paris Type d’activité Research Organisations Liens Contacter l’organisation Opens in new window Site web Opens in new window Participation aux programmes de R&I de l'UE Opens in new window Réseau de collaboration HORIZON Opens in new window Coût total € 246 668,40 Participants (1) Trier par ordre alphabétique Trier par contribution nette de l'UE Tout développer Tout réduire TECHNISCHE UNIVERSITAET MUENCHEN Participation terminée Allemagne Contribution nette de l'UE € 0,00 Adresse Arcisstrasse 21 80333 Muenchen Voir sur la carte Région Bayern Oberbayern München, Kreisfreie Stadt Type d’activité Higher or Secondary Education Establishments Liens Contacter l’organisation Opens in new window Site web Opens in new window Participation aux programmes de R&I de l'UE Opens in new window Réseau de collaboration HORIZON Opens in new window Coût total Aucune donnée Partenaires (1) Trier par ordre alphabétique Trier par contribution nette de l'UE Tout développer Tout réduire Partenaire Les organisations partenaires contribuent à la mise en œuvre de l’action, mais ne signent pas la convention de subvention. MASSACHUSETTS INSTITUTE OF TECHNOLOGY États-Unis Contribution nette de l'UE € 0,00 Adresse MASSACHUSETTS AVENUE 77 02139 Cambridge Voir sur la carte Type d’activité Higher or Secondary Education Establishments Liens Contacter l’organisation Opens in new window Participation aux programmes de R&I de l'UE Opens in new window Réseau de collaboration HORIZON Opens in new window Coût total € 160 130,40
