scholarly journals Competition between antiferromagnetic and charge density wave fluctuations in the extended Hubbard model

2019 ◽  
Vol 100 (7) ◽  
Author(s):  
Petra Pudleiner ◽  
Anna Kauch ◽  
Karsten Held ◽  
Gang Li
Keyword(s):  
Hubbard Model ◽  
Charge Density ◽  
Charge Density Wave ◽  
Density Wave ◽  
Extended Hubbard Model

scholarly journals Superconductivity in the doped Hubbard model and its interplay with next-nearest hopping t′

Science ◽  
2019 ◽  
Vol 365 (6460) ◽  
pp. 1424-1428 ◽  
Author(s):  
Hong-Chen Jiang ◽  
Thomas P. Devereaux
Keyword(s):  
Hubbard Model ◽  
Charge Density ◽  
Spin Density ◽  
Charge Density Wave ◽  
Large Scale ◽  
Nearest Neighbor ◽  
High Temperature Superconductivity ◽  
Density Wave ◽  
Spin Density Wave ◽  
Hole Doping

The Hubbard model is widely believed to contain the essential ingredients of high-temperature superconductivity. However, proving definitively that the model supports superconductivity is challenging. Here, we report a large-scale density matrix renormalization group study of the lightly doped Hubbard model on four-leg cylinders at hole doping concentration δ = 12.5%. We reveal a delicate interplay between superconductivity and charge density wave and spin density wave orders tunable via next-nearest neighbor hopping t′. For finite t′, the ground state is consistent with a Luther-Emery liquid with power-law superconducting and charge density wave correlations associated with half-filled charge stripes. In contrast, for t′ = 0, superconducting correlations fall off exponentially, whereas charge density and spin density modulations are dominant. Our results indicate that a route to robust long-range superconductivity involves destabilizing insulating charge stripes in the doped Hubbard model.

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