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Flat bands and topology in superconductive materials

Flat bands and topology in superconductive materials

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.

Coordinator

AALTO KORKEAKOULUSAATIO SR

Address

Otakaari 1
02150 Espoo

Finland

Activity type

Higher or Secondary Education Establishments

EU Contribution

€ 191 325,60

Project information

Grant agreement ID: 702281

Status

Closed project

  • Start date

    1 April 2016

  • End date

    31 March 2018

Funded under:

H2020-EU.1.3.2.

  • Overall budget:

    € 191 325,60

  • EU contribution

    € 191 325,60

Coordinated by:

AALTO KORKEAKOULUSAATIO SR

Finland