Superconductivity in the two-dimensional Hubbard model: One-particle correlation functions

1995 ◽  
Vol 51 (22) ◽  
pp. 16310-16326 ◽  
Author(s):  
Chien-Hua Pao ◽  
N. E. Bickers
Keyword(s):  
Hubbard Model ◽  
Correlation Functions ◽  
Two Dimensional ◽  
Particle Correlation

scholarly journals Tensor-network Study of Correlation-spreading Dynamics in the Two-dimensional Bose-Hubbard Model

2021 ◽  
Author(s):  
Ryui Kaneko ◽  
Ippei Danshita
Keyword(s):  
Hubbard Model ◽  
Single Particle ◽  
Correlation Functions ◽  
Cold Atoms ◽  
Spatial Dimension ◽  
Two Dimensional ◽  
Particle Correlation ◽  
Time Dynamics ◽  
Density Correlation ◽  
Tensor Network

Abstract Recent developments in analog quantum simulators based on cold atoms and trapped ions call for cross-validating the accuracy of quantum-simulation experiments with use of quantitative numerical methods; however, it is particularly challenging for dynamics of systems with more than one spatial dimension. Here we demonstrate that a tensor-network method running on classical computers is useful for this purpose. We specifically analyze real-time dynamics of the two-dimensional Bose-Hubbard model after a sudden quench starting from the Mott insulator by means of the infinite projected entangled pair state algorithm. Calculated single-particle correlation functions are found to be in good agreement with a recent experiment [Y. Takasu et al., Sci. Adv. 6, eaba9255 (2020)]. By estimating the phase and group velocities from the single-particle and density-density correlation functions, we predict how these velocities vary in the moderate interaction region, which serves as a quantitative benchmark for future experiments.

TWO-DIMENSIONAL QUARTER-FILLED EXTENDED HUBBARD MODEL AT STRONG COUPLING

2005 ◽  
Vol 19 (01n03) ◽  
pp. 213-216
Author(s):  
W. F. LEE ◽  
H. Q. LIN
Keyword(s):  
Hubbard Model ◽  
Correlation Functions ◽  
Nearest Neighbor ◽  
Spin Correlation ◽  
Perturbation Approach ◽  
Effective Hamiltonian ◽  
Two Dimensional ◽  
Extended Hubbard Model ◽  
Neighbor Interaction ◽  
Electron Hopping

In this paper, we generalized the perturbation approach to study the quasi-two-dimension extended Hubbard model. This model is characterizing by intra-chain electron hopping t, on-site Column interaction U, nearest-neighbor interaction V, and inter-chain electron hopping t′ and nearest-neighbor interaction V′. An effective Hamiltonian up to sixth-order in t/U, t/V, t/V′, t′/U, t′/V and t′/V′ expansion was obtained and the spin-spin correlation functions were calculated. We presented results for t=t′, V=V′.

Correlation functions for the two-dimensional Hubbard model

1991 ◽  
Vol 43 (1) ◽  
pp. 598-606 ◽  
Author(s):  
José Carmelo ◽  
Michael Dzierzawa ◽  
Xenophon Zotos ◽  
Dionys Baeriswyl
Keyword(s):  
Hubbard Model ◽  
Correlation Functions ◽  
Two Dimensional

The pairing symmetries in the two-dimensional Hubbard model

2021 ◽  
pp. 127153
Author(s):  
Ke Liu ◽  
Shuhui Yang ◽  
Weiqi Li ◽  
Tao Ying ◽  
Jianqun Yang ◽  
...  
Keyword(s):  
Hubbard Model ◽  
Two Dimensional ◽  
Pairing Symmetries
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