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Flat bands and topology in superconductive materials

Total Cost €


EC-Contrib. €






Project "FLATOPS" data sheet

The following table provides information about the project.


Organization address
address: OTAKAARI 1
city: ESPOO
postcode: 2150

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
 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


Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    AALTO KORKEAKOULUSAATIO SR FI (ESPOO) coordinator 191˙325.00


 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.


year authors and title journal last update
List of publications.
2017 Long Liang, Sebastiano Peotta, Ari Harju, Päivi Törmä
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, Päivi Törmä
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, Päivi Törmä, 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, Päivi Törmä
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, Päivi Törmä
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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