Objective 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. Fields of science 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) Topic(s) ERC-SG-PE3 - ERC Starting Grant - Condensed matter physics Call for proposal ERC-2013-StG See other projects for this call Funding Scheme ERC-SG - ERC Starting Grant Host institution JULIUS-MAXIMILIANS-UNIVERSITAT WURZBURG EU contribution € 1 307 503,20 Address SANDERRING 2 97070 Wuerzburg Germany See on map Region Bayern Unterfranken Würzburg, Kreisfreie Stadt Activity type Higher or Secondary Education Establishments Principal investigator Ronny Thomale (Prof.) Administrative Contact Christian Gloggengiesser (Mr.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data Beneficiaries (1) Sort alphabetically Sort by EU Contribution Expand all Collapse all JULIUS-MAXIMILIANS-UNIVERSITAT WURZBURG Germany EU contribution € 1 307 503,20 Address SANDERRING 2 97070 Wuerzburg See on map Region Bayern Unterfranken Würzburg, Kreisfreie Stadt Activity type Higher or Secondary Education Establishments Principal investigator Ronny Thomale (Prof.) Administrative Contact Christian Gloggengiesser (Mr.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data