Enhancement of pairing correlations due to nearly flat bands in the plaquette-Lieb Hubbard model

Kai Cheng (), Shi-Chao Fang () and Zhong-Bing Huang
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Kai Cheng: Faculty of Physics and Electronic Technology, Hubei University, Wuhan 430062, P. R. China
Shi-Chao Fang: Department of Physics, Nanyang Institute of Technology, Nanyang 473004, P. R. China
Zhong-Bing Huang: Faculty of Physics and Electronic Technology, Hubei University, Wuhan 430062, P. R. China

International Journal of Modern Physics C (IJMPC), 2022, vol. 33, issue 08, 1-11

Abstract: Motivated by recent research works on the flat-band correlated electron systems, we construct a plaquette-Lieb lattice, which exhibits nearly flat bands close to the Fermi level around half-filling, when the inter-plaquette hopping integral is much smaller than the intra-plaquette one. A detailed comparison study with the well-known checkerboard lattice indicates that there exist significant differences for the pairing property between the two lattices, and the nearly flat bands on the plaquette-Lieb lattice strongly enhance the d-wave pairing correlation for repulsive on-site Hubbard interaction and s-wave pairing correlation for attractive on-site Hubbard interaction. Our study not only provides a new lattice with nearly flat bands, but also deepens the understanding of electronic structure on superconductivity.

Keywords: Flat band; Hubbard model; pairing correlation; plaquette-Lieb lattice; checkerboard lattice (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0129183122501078

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