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FLATOPS SIGNED

Flat bands and topology in superconductive materials

Total Cost €

EC-Contrib. €

Partnership

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Outcomes and
results

FLATOPS project word cloud

Explore the words cloud of the FLATOPS project. It provides you a very rough idea of what is the project "FLATOPS" about.

invariant flat matrix ensures platform finite ideal tantalizing interparticle possess potentially dmft group dynamical predictions invariants superconducting link bands multiband bcs ultracold topological tc structure picture transparent quantum chern nonzero carbon theory critical dmrg plan characterization topology mass superfluidity ones renormalization hall structures superfluid lattice 2d superconductors density superconductor unexplored qualitative media transition thanks 1d dimensionality band interactions whereas supercurrent temperature gases 3d theoretical relation symmetries mean

Project "FLATOPS" data sheet

The following table provides information about the project.

Coordinator	AALTO KORKEAKOULUSAATIO SR Organization address address: OTAKAARI 1 city: ESPOO postcode: 2150 website: http://www.aalto.fi/en/ contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.
Coordinator Country	Finland [FI]
Project website	https://users.aalto.fi/
Total cost	191˙325 €
EC max contribution	191˙325 € (100%)
Programme	1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
Code Call	H2020-MSCA-IF-2015
Funding Scheme	MSCA-IF-EF-ST
Starting year	2016
Duration (year-month-day)	from 2016-04-01 to 2018-03-31

Partnership

Take a look of project's partnership.

#	participants	country	role	EC contrib. [€]
1	AALTO KORKEAKOULUSAATIO SR AALTO KORKEAKOULUSAATIO SR Organization address address: OTAKAARI 1 city: ESPOO postcode: 2150 website: http://www.aalto.fi/en/ contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	FI (ESPOO)	coordinator	191˙325.00

Map

Project objective

Flat bands allow to increase the critical temperature of the superconducting transition thanks to their high density of states. However a characterization of the flat bands that support a finite supercurrent is open. In some cases a nonzero Chern number, a topological invariant of the band structure, ensures a finite superfluid mass density. This tantalizing relation between topology and superfluidity is novel and unexplored. My aim is to characterize superfluidity in lattice systems with flat bands that have different symmetries, lattice structures, dimensionality, interparticle interactions and possess different topological invariants, in order to provide a general picture of which ones are potentially useful as a superconductor with high critical temperature. Whereas mean-field (BCS) theory can provide an essential qualitative understanding and a transparent link to topological properties, I plan to use more reliable methods such as Density Matrix Renormalization Group (DMRG) in 1D and Dynamical Mean Field Theory (DMFT) in 2D and 3D. The ideal platform to test the theoretical predictions are ultracold gases, but I expect to provide useful results also for multiband superconductors, topological media, carbon-based superconductors, Quantum Hall systems and high-Tc superconductors.

Publications

List of publications.
year	authors and title	journal	last update
2017	Long Liang, Sebastiano Peotta, Ari Harju, PÃ¤ivi TÃ¶rmÃ¤ Wave-packet dynamics of Bogoliubov quasiparticles: Quantum metric effects published pages: 64511, ISSN: 2469-9950, DOI: 10.1103/PhysRevB.96.064511	Physical Review B 96/6	2019-06-13
2018	Kukka-Emilia Huhtinen, Marek Tylutki, Pramod Kumar, Tuomas I. Vanhala, Sebastiano Peotta, PÃ¤ivi TÃ¶rmÃ¤ Spin-imbalanced pairing and Fermi surface deformation in flat bands published pages: 214503, ISSN: 2469-9950, DOI: 10.1103/PhysRevB.97.214503	Physical Review B 97/21	2019-06-13
2016	Murad Tovmasyan, Sebastiano Peotta, PÃ¤ivi TÃ¶rmÃ¤, Sebastian D. Huber Effective theory and emergent SU ( 2 ) symmetry in the flat bands of attractive Hubbard models published pages: 245149, ISSN: 2469-9950, DOI: 10.1103/PhysRevB.94.245149	Physical Review B 94/24	2019-06-13
2017	Long Liang, Tuomas I. Vanhala, Sebastiano Peotta, Topi Siro, Ari Harju, PÃ¤ivi TÃ¶rmÃ¤ Band geometry, Berry curvature, and superfluid weight published pages: 24515, ISSN: 2469-9950, DOI: 10.1103/PhysRevB.95.024515	Physical Review B 95/2	2019-06-13
2016	Aleksi Julku, Sebastiano Peotta, Tuomas I. Vanhala, Dong-Hee Kim, PÃ¤ivi TÃ¶rmÃ¤ Geometric Origin of Superfluidity in the Lieb-Lattice Flat Band published pages: 45303, ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.117.045303	Physical Review Letters 117/4	2019-06-13

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