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 (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
- natural sciences physical sciences condensed matter physics
- natural sciences physical sciences electromagnetism and electronics superconductivity
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Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
ERC-2013-StG
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Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Host institution
97070 Wuerzburg
Germany
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.