Collective excitations and sum rules for the Hubbard model in the spin-density-wave regime

1992 ◽  
Vol 45 (6) ◽  
pp. 3164-3167 ◽  
Author(s):  
H. Monien ◽  
K. S. Bedell
Science ◽  
2019 ◽  
Vol 365 (6460) ◽  
pp. 1424-1428 ◽  
Author(s):  
Hong-Chen Jiang ◽  
Thomas P. Devereaux

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.


2001 ◽  
Vol 70 (3) ◽  
pp. 818-828 ◽  
Author(s):  
Masanori Ichioka ◽  
Eiji Kaneshita ◽  
Kazushige Machida

2010 ◽  
Vol 81 (2) ◽  
Author(s):  
E. Dengler ◽  
J. Deisenhofer ◽  
H.-A. Krug von Nidda ◽  
Seunghyun Khim ◽  
J. S. Kim ◽  
...  

2010 ◽  
Vol 12 (9) ◽  
pp. 093021 ◽  
Author(s):  
Hui-Min Chen ◽  
Hui Zhao ◽  
Hai-Qing Lin ◽  
Chang-Qin Wu

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