Single-hole properties in the $t$-$J$ and strong-coupling models

Abstract

We report numerical results for the single-hole properties in the $t$-$J$ model and the strong-coupling approximation to the Hubbard model in two dimensions. Using the hopping basis with over $10^6$ states we discuss (for an infinite system) the bandwidth, the leading Fourier coefficients in the dispersion, the band masses, and the spin-spin correlations near the hole. We compare our results with those obtained by other methods. The band minimum is found to be at ($\pi /2,\pi /2$) for the $t$-$J$ model for $0.1\le t/J\le 10$, and for the strong-coupling model for $1\le t/J\le 10$. The bandwidth in both models is approximately $2J$ at large $t/J$, in rough agreement with loop-expansion results but in disagreement with other results. The strong-coupling bandwidth for $t/J\agt6$ can be obtained from the $t$-$J$ model by treating the three-site terms in first-order perturbation theory. The dispersion along the magnetic zone face is flat, giving a large parallel/perpendicular band mass ratio.

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References in corpus (1)

• Correlated Electrons in High Temperature Superconductors

Cited by in corpus (5)

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• Ising t-J model close to half filling: A Monte Carlo study
• Dynamics of Holes and Universality Class of the Antiferromagnetic Transition in the Two Dimensional Hubbard Model
• Slave-boson based configuration-interaction approach for the Hubbard model
• Analytical Results for a Hole in an Antiferromagnet