1995/08/10 by B. M. Elrick, A. E. Jacobs
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum, superfluid, helium dynamics #cond-mat
paper · pdf · doi:10.1103/physrevb.52.10369
1 RevTeX file with epsf directives to include 8 .eps figures 8 figure files encoded using uufiles
arxiv created 1995/08/10 · openalex publication_date 1995/10/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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 106 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 (\ensuremathπ/2,\ensuremathπ/2) for the t-J model for 0.1\ensuremath≤t/J\ensuremath≤10, and for the strong-coupling model for 1\ensuremath≤t/J\ensuremath≤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\ensuremath\gtrsim6 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.