Project description
Solving topological material mysteries with symmetry
Unravelling the potential of solid-state materials hosting topological (crystalline) insulator (TI and TCI) states for device applications remains a formidable challenge. Thousands of candidate TIs and TCIs have been identified through theoretical calculations, but their practical applicability is stymied by limited knowledge regarding experimental signatures and advantageous properties. In this context, the ERC-funded TopoRosetta project will leverage the group theory of crystal symmetries to unravel their elusive universal quantum responses. This groundbreaking initiative seeks to create a Rosetta Stone, translating opaque mathematical topological classifications into tangible experimental observables. With a focus on spin- and orbital-resolved responses and superconducting transitions, TopoRosetta aims to propel solid-state TIs and TCIs from theoretical curiosities into real-world innovations in chemistry, materials science, and quantum devices.
Objective
Solid-state materials hosting topological insulating (TI) states have been intensely studied following predictions that their bulk and surface features may serve as robust platforms for spintronics, quantum computing, and magnetoelectric responses. 3D topological crystalline insulator (TCI) states protected by crystal symmetries have also been predicted, and through first-principles (DFT) calculations, thousands of candidate TIs and TCIs have been identified, including correlated charge-density-wave and magnetic variants. Though topological materials can readily be mathematically classified, we still do not know the bulk experimental signatures and advantageous properties of most topological states, limiting their practical applicability in chemistry, materials science, and quantum devices. To unlock the immense promise of solid-state TIs and TCIs, I propose to leverage the group theory of crystal symmetries to produce a Rosetta Stone to translate the mathematical topological classification into robust and intuitive experimental observables, such as the spin and charge trapped by defects and new electromagnetic responses. First, we will devise theories of topological spin-, orbital- (valley-), and layer-resolved bulk, surface, and crystal defect responses in 3D TCIs and introduce numerical methods for their identification in real materials. Next, we will for the first time construct a position-space, symmetry-based methodology for systematically enumerating and analyzing superconducting (SC) TCIs, which may host excitations advantageous to the storage and manipulation of quantum information. We will introduce the fundamentally new notion of SC symmetry groups to characterize SC TCIs by exploiting tension between their position- and momentum-space descriptions. This will uniquely allow us to side-step specifying the mechanism or strength of the SC order. For both lines of inquiry, we will apply data mining and DFT to identify and characterize material candidates.
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: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences mathematics applied mathematics mathematical physics
- natural sciences computer and information sciences data science data mining
- natural sciences physical sciences electromagnetism and electronics spintronics
- natural sciences physical sciences condensed matter physics solid-state physics
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Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
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.
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HORIZON.1.1 - European Research Council (ERC)
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Topic(s)
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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.
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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.
HORIZON-ERC - HORIZON ERC Grants
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Call for proposal
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Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
(opens in new window) ERC-2023-STG
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75015 Paris
France
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