Superconducting transitions in flat-band systems

Iglovikov, V. I.; Hébert, F.; Grémaud, B.; Batrouni, G. G.; Scalettar, R. T.

doi:10.1103/PhysRevB.90.094506

Title: Superconducting transitions in flat-band systems

Journal Article · Thu Sep 11 00:00:00 EDT 2014 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PhysRevB.90.094506· OSTI ID:1344110

Iglovikov, V. I. ^[1]; Hébert, F. ^[2]; Grémaud, B. ^[3]; Batrouni, G. G. ^[4]; Scalettar, R. T. ^[1]

Univ. of California, Davis, CA (United States). Physics Dept.
Univ. of Nice Sophia Antipolis (France)
CNRS-UNS-NUS-NTU International Joint Research Unit (Singapore); Ecole Normale Superieure, Paris (France). Kastler Brossel Lab.; National Univ. of Singapore (Singapore). Centre for Quantum Technologies and Dept. of Physics
Univ. of Nice Sophia Antipolis (France); National Univ. of Singapore (Singapore). Centre for Quantum Technologies; Inst. Univ. of France, Paris (France)

The physics of strongly correlated quantum particles within a flat band was originally explored as a route to itinerant ferromagnetism and, indeed, a celebrated theorem by Lieb rigorously establishes that the ground state of the repulsive Hubbard model on a bipartite lattice with unequal number of sites in each sublattice must have nonzero spin S at half-filling. Recently, there has been interest in Lieb geometries due to the possibility of novel topological insulator, nematic, and Bose-Einstein condensed (BEC) phases. In this paper, we extend the understanding of the attractive Hubbard model on the Lieb lattice by using Determinant Quantum Monte Carlo to study real space charge and pair correlation functions not addressed by the Lieb theorems. Specifically, our results show unusual charge and charge transfer signatures within the flat band, and a reduction in pairing order at ρ = 2/3 and ρ = 4/3, the points at which the flat band is first occupied and then completely filled. Lastly, we compare our results to the case of flat bands in the Kagome lattice and demonstrate that the behavior observed in the two cases is rather different.

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Research Organization:: Univ. of California, Davis, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0001842; NNSA-DE-NA0001842-0

OSTI ID:: 1344110

Alternate ID(s):: OSTI ID: 1180268

Journal Information:: Physical Review. B, Condensed Matter and Materials Physics, Vol. 90, Issue 9; ISSN 1098-0121

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 63 works

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Topological states in engineered atomic lattices Drost, Robert; Ojanen, Teemu; Harju, Ari Nature Physics, Vol. 13, Issue 7 https://doi.org/10.1038/nphys4080	journal	March 2017
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Magnetic Shell Structure of 2D-Trapped Fermi Gases in the Flat-Band Lieb Lattices Jeong, Joo-Hyeok; Park, Hyunjoon; Kim, Dongkyu Applied Sciences, Vol. 9, Issue 3 https://doi.org/10.3390/app9030365	journal	January 2019
Correlated insulator behaviour at half-filling in magic-angle graphene superlattices Cao, Yuan; Fatemi, Valla; Demir, Ahmet Nature, Vol. 556, Issue 7699 https://doi.org/10.1038/nature26154	journal	March 2018
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Emergence of asymmetric fermionic order in interacting birefringent fermions Wang, Yi-Xiang; Li, Fuxiang Physical Review B, Vol. 99, Issue 24 https://doi.org/10.1103/physrevb.99.245126	journal	June 2019
Coherent driving and freezing of bosonic matter wave in an optical Lieb lattice Taie, Shintaro; Ozawa, Hideki; Ichinose, Tomohiro arXiv https://doi.org/10.48550/arxiv.1506.00587	text	January 2015
Unconventional superconductivity in nearly flat bands in twisted bilayer graphene Roy, Bitan; Juricic, Vladimir arXiv https://doi.org/10.48550/arxiv.1803.11190	text	January 2018
Pairing and superconductivity in the flat band: Creutz lattice Mondaini, Rubem; Batrouni, G. George; Grémaud, Benoît arXiv https://doi.org/10.48550/arxiv.1805.09359	text	January 2018
Enhanced correlations and superconductivity in weakly interacting partially flat band systems: a determinantal quantum Monte Carlo study Huang, Edwin W.; Vaezi, Mohammad-Sadegh; Nussinov, Zohar arXiv https://doi.org/10.48550/arxiv.1811.08848	text	January 2018
Magnetization, d-wave superconductivity and non-Fermi liquid behavior in a crossover from dispersive to flat bands Kumar, Pramod; Vanhala, Tuomas I.; Törmä, Päivi arXiv https://doi.org/10.48550/arxiv.1903.07466	text	January 2019

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