Temperature-dependent single-particle properties of the two-dimensional Hubbard model

1997 ◽  
Vol 56 (23) ◽  
pp. 14875-14878 ◽  
Author(s):  
V. Zlatić ◽  
S. Grabowski ◽  
P. Entel
Keyword(s):  
Hubbard Model ◽  
Single Particle ◽  
Two Dimensional ◽  
Temperature Dependent ◽  
Particle Properties

scholarly journals High-Energy Kink in the Single-Particle Spectra of the Two-Dimensional Hubbard Model

2007 ◽  
Vol 99 (23) ◽  
Author(s):  
Alexandru Macridin ◽  
M. Jarrell ◽  
Thomas Maier ◽  
D. J. Scalapino
Keyword(s):  
Hubbard Model ◽  
Single Particle ◽  
High Energy ◽  
Two Dimensional ◽  
Particle Spectra

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.

SINGLE-PARTICLE AND OPTICAL EXCITATIONS IN DOPED MOTT- HUBBARD INSULATORS

1992 ◽  
Vol 06 (05n06) ◽  
pp. 589-602 ◽  
Author(s):  
WALTER STEPHAN ◽  
PETER HORSCH
Keyword(s):  
Optical Properties ◽  
Band Structure ◽  
Fermi Surface ◽  
Copper Oxide ◽  
Hubbard Model ◽  
Optical Conductivity ◽  
Single Particle ◽  
Oxide Superconductors ◽  
Two Dimensional ◽  
Copper Oxide Superconductors

Recent numerical results for the single-particle spectral function and optical conductivity of the two-dimensional Hubbard and t−J models are reviewed. Already for two holes in systems of sixteen to twenty sites (≥ 10% doping) a large electronic Fermi surface, compatible with Luttinger’s theorem, is observed. The full single-particle Green’s function is examined, and is shown to exhibit quasiparticle-like behavior, with dispersion consistent with the band structure of the non-interacting limit, and band width scaling approximately as J for J smaller than t. The optical conductivity of the Hubbard and t−J models is shown to have many features in common with recent experiments on copper oxide superconductors. The importance of the often neglected 3-site terms which arise in the derivation of the t−J model from the Hubbard model for optical properties is discussed.

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