Objective With the advent of topological phases, we have recently witnessed a revolution in our understanding of different phases of matter. They are described by tools borrowed from mathematical topology, unlike more familiar phases such as (ferro)magnets, classified in terms of symmetry breaking. Within these topological phases, fractionalized states of matter are of the most exotic, intriguing and potentially useful kind. They result from the delicate interplay between strong correlations among its constituents and the topological nature of the parent non-interacting state. They carry fractional quantum numbers and topologically protected excitations, insensitive to local system details (e.g. impurities) and key to efficient, fault-tolerant quantum computation. The fractional quantum Hall effect (FQHE) is still the hallmark of such phases but it needs strong magnetic fields and low temperatures to be realized, severely constraining the latter groundbreaking scientific leap.Thus, this project aims to reach a new milestone concerning fractionalized phases to foster possible realizations and open the next door towards the quantum computing revolution. To this end, an innovative interedisciplinary approach is required. First, a numerical study beyond the widely used exact diagonalization will characterize fractional Chern insulators (FCI), FQHE analogues that dispose of the need of external magnetic fields, strongly focusing on experimentally relevant features, in particular dynamical signatures, still largely unexplored. Second, it proposes a new ’topologically trivial to FCI’ route to realize these phases while critically assessing existing proposals and the role of possible competing orders that can jeopardize the emergence of fractionalization. Lastly, it will investigate effective quantum field theories that can generalize fractionalization to three dimensional topological phases in interacting Weyl semi-metals, providing an new landmark in the search for these states. Fields of science natural sciencesphysical sciencestheoretical physicsparticle physicsfermionsnatural sciencesmathematicspure mathematicstopologynatural sciencesphysical sciencesquantum physicsquantum field theorynatural sciencesphysical scienceselectromagnetism and electronicsspintronicsnatural sciencesphysical sciencesopticsnonlinear optics 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 Topic(s) MSCA-IF-2014-GF - Marie Skłodowska-Curie Individual Fellowships (IF-GF) Call for proposal H2020-MSCA-IF-2014 See other projects for this call Funding Scheme MSCA-IF-GF - Global Fellowships Coordinator CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS Net EU contribution € 215 699,40 Address Rue michel ange 3 75794 Paris France See on map Region Ile-de-France Ile-de-France Paris Activity type Research Organisations Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Other funding € 0,00 Participants (1) Sort alphabetically Sort by Net EU contribution Expand all Collapse all THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD Participation ended United Kingdom Net EU contribution € 0,00 Address Wellington square university offices OX1 2JD Oxford See on map Region South East (England) Berkshire, Buckinghamshire and Oxfordshire Oxfordshire Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Other funding € 0,00 Partners (1) Sort alphabetically Sort by Net EU contribution Expand all Collapse all Partner Partner organisations contribute to the implementation of the action, but do not sign the Grant Agreement. THE REGENTS OF THE UNIVERSITY OF CALIFORNIA United States Net EU contribution € 0,00 Address Franklin street 1111 12 floor 94607 Oakland ca See on map Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Other funding € 160 130,40
