Generalized $t$-$t^\prime$-$J$ model: parameters and single-particle spectrum for electrons and holes in copper oxides

Details Generalized $t$-$t^\prime$-$J$ model: parameters and single-particle spectrum for electrons and holes in copper oxides Generalized $t$-$t^\prime$-$J$ model: parameters and single-particle spectrum for electrons and holes in copper oxides

1996-05-24

arxiv.org/abs/cond-mat/9605155v1

Phys. Rev. B 53, 335 (1996)

Physics

Condensed Matter

10 pages, RevTeX. 6 postscript figures are appended

Scientific paper

10.1103/PhysRevB.53.335

A microscopically based Hamiltonian of the generalized $t$-$t^\prime$-$J$ model is presented. Two types of the additional $t^\prime$-terms are discussed. The set of ranges of the additional $t^\prime$-terms for the real CuO$_2$ planes is derived from the three-band model calculations. Using the variational spin-polaron approach the single-carrier dispersions in the generalized $t$-$t^\prime$-$J$ model are calculated both for the hole- and electron-doped systems. Hole and electron band minima are found to be at points $(0,\pm\pi)$, $(\pm\pi,0)$, and $(\pm\pi/2,\pm\pi/2)$, respectively. The band minima shifts $|\Delta_{(0,\pi)-(\pi/2,\pi/2)}|$ are not small ($\sim J$). Bandwidths for both cases of doping are found to be $1.5-4.5$ times larger than the t-J model ones.

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