Enhanced d-wave pairing in the two-dimensional Hubbard model with periodically modulated hopping amplitudes

Shuhui Yang; Xingcan Liu; Weiqi Li; Jianqun Yang; Tao Ying; Xingji Li; Xiudong Sun

doi:10.1088/1361-648X/ac7e9c

Enhanced d-wave pairing in the two-dimensional Hubbard model with periodically modulated hopping amplitudes

J Phys Condens Matter. 2022 Jul 13;34(37). doi: 10.1088/1361-648X/ac7e9c.

Authors

Shuhui Yang¹, Xingcan Liu¹, Weiqi Li², Jianqun Yang³, Tao Ying¹, Xingji Li³, Xiudong Sun^{1

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Affiliations

¹ Institute of Modern Optics, School of Physics, Harbin Institute of Technology, Harbin 150001, People's Republic of China.
² School of Physics, Harbin Institute of Technology, Harbin 150001, People's Republic of China.
³ School of Materials Science and Engineering, Harbin Institute of Technology, Harbin 150001, People's Republic of China.
⁴ Key Laboratory of Micro-Nano Optoelectronic Information System, Ministry of Industry and Information Technology, Harbin 150001, People's Republic of China.
⁵ Key Laboratory of Micro-Optics and Photonic Technology of Heilongjiang Province, Harbin Institute of Technology, Harbin 150001, People's Republic of China.
⁶ Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan, Shanxi 030006, People's Republic of China.

PMID: 35790173
DOI: 10.1088/1361-648X/ac7e9c

Abstract

Utilizing determinant quantum Monte Carlo algorithm, the evolution of thed-wave pairing in the Hubbard model on the square lattice tuned by the periodically modulated hopping amplitudes is studied. The hopping amplitudes are homogeneous in thexˆ-direction, while in theyˆ-direction the hopping amplitudes are modulated with periodP, wherety=t+dt,ty'=t-(P-1)dt, and the modulation periodPequals 2, 3 and 4 lattice spacings. The latter two modulation periods are motivated by the observation of period-3 and period-4 stripe order in cuprate superconductors. For all the periodsP, we find that the modulated hopping inhomogeneity enhances thed-wave pairing and an optimal inhomogeneity exists.

Keywords: Hubbard model; d-wave pairing; hopping inhomogeneity; quantum Monte Carlo.