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29 March 2024
 
  » arxiv » cond-mat/0002321

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Single hole dynamics in the t-J model on a square lattice
Michael Brunner ; Fakher F. Assaad ; Alejandro Muramatsu ;
Date 21 Feb 2000
Journal Phys. Rev. B 62, 15480 (2000)
Subject Strongly Correlated Electrons | cond-mat.str-el
AbstractWe present quantum Monte Carlo (QMC) simulations for a single hole in a t-J model from J=0.4t to J=4t on square lattices with up to 24 x 24 sites. The lower edge of the spectrum is directly extracted from the imaginary time Green’s function. In agreement with earlier calculations, we find flat bands around $(0,pmpi)$, $(pmpi,0)$ and the minimum of the dispersion at $(pmpi/2,pmpi/2)$. For small J both self-consistent Born approximation and series expansions give a bandwidth for the lower edge of the spectrum in agreement with the simulations, whereas for J/t > 1, only series expansions agree quantitatively with our QMC results. This band corresponds to a coherent quasiparticle. This is shown by a finite size scaling of the quasiparticle weight $Z(vec k)$ that leads to a finite result in the thermodynamic limit for the considered values of $J/t$. The spectral function $A(vec k, omega)$ is obtained from the imaginary time Green’s function via the maximum entropy method. Resonances above the lowest edge of the spectrum are identified, whose J-dependence is quantitatively described by string excitations up to J/t=2.
Source arXiv, cond-mat/0002321
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