Objectif Topological properties of a quantum state of matter describe global signatures which are invariant under weak local perturbations of the system. Such scenarios constitute a major branch of contemporary condensed matter physics and exhibit remarkable phenomena such as quantized edge channels of a bulk-incompressible phase as well as fractionalized quantum numbers and statistics of quasiparticles. In the TOPOLECTRICS ERC starting grant research plan, we investigate topological quantum phases which result from electronic interactions. The key objective is to provide a rigorous link between bare electronic models and low energy effective models hosting emergent topological quantum phases. This task is approached from two perspectives. First, in a top-down approach, renormalization group schemes are developed and employed for weakly and strongly interacting electrons to derive effective models from realistic bare electronic scenarios. We investigate how Fermi liquids can host topological phases such as Chern insulators, topological insulators, and topological superconductors as well as how Mott phases of frustrated magnets can drive the system into a spin liquid regime. The central goal is to identify the crucial parameters which control the stabilization of such phases and to provide a direct feedback for experimental setups. Second, in a bottom-up approach, entanglement spectrum analysis along with reverse Hamiltonian model building is applied to topologically ordered quantum states such as fractional quantum Hall states, spin liquids, spin chain states, as well as fractional Chern and fractional topological insulators. The aim is to develop effective models hosting such topological quantum states and to reconnect them with bare electronic models as well as to investigate key experimental signatures. Ultimately, the goal is to fuse both approaches to develop a microscopically substantiated procedure to identify electronic topological quantum phases in nature. Champ scientifique natural sciencesphysical sciencescondensed matter physicsnatural sciencesphysical scienceselectromagnetism and electronicssuperconductivity Programme(s) FP7-IDEAS-ERC - Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Thème(s) ERC-SG-PE3 - ERC Starting Grant - Condensed matter physics Appel à propositions ERC-2013-StG Voir d’autres projets de cet appel Régime de financement ERC-SG - ERC Starting Grant Institution d’accueil JULIUS-MAXIMILIANS-UNIVERSITAT WURZBURG Contribution de l’UE € 1 307 503,20 Adresse SANDERRING 2 97070 Wuerzburg Allemagne Voir sur la carte Région Bayern Unterfranken Würzburg, Kreisfreie Stadt Type d’activité Higher or Secondary Education Establishments Chercheur principal Ronny Thomale (Prof.) Contact administratif Christian Gloggengiesser (Mr.) Liens Contacter l’organisation Opens in new window Site web Opens in new window Coût total Aucune donnée Bénéficiaires (1) Trier par ordre alphabétique Trier par contribution de l’UE Tout développer Tout réduire JULIUS-MAXIMILIANS-UNIVERSITAT WURZBURG Allemagne Contribution de l’UE € 1 307 503,20 Adresse SANDERRING 2 97070 Wuerzburg Voir sur la carte Région Bayern Unterfranken Würzburg, Kreisfreie Stadt Type d’activité Higher or Secondary Education Establishments Chercheur principal Ronny Thomale (Prof.) Contact administratif Christian Gloggengiesser (Mr.) Liens Contacter l’organisation Opens in new window Site web Opens in new window Coût total Aucune donnée