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Fractionalized quantum matter: Characterization, realization and generalization

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.

Field of science

  • /engineering and technology/electrical engineering, electronic engineering, information engineering/electronic engineering/computer hardware/quantum computer
  • /natural sciences/physical sciences/quantum physics/quantum field theory
  • /natural sciences/mathematics/pure mathematics/topology

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
Address
Rue Michel Ange 3
75794 Paris
France
Activity type
Research Organisations
EU contribution
€ 215 699,40

Participants (1)

THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD

Participation ended

United Kingdom
EU contribution
€ 0
Address
Wellington Square University Offices
OX1 2JD Oxford
Activity type
Higher or Secondary Education Establishments

Partners (1)

THE REGENTS OF THE UNIVERSITY OF CALIFORNIA
United States
Address
Franklin Street 1111, 12 Floor
94607 Oakland Ca
Activity type
Higher or Secondary Education Establishments