Charge correlations in the weakly doped t-J model calculated by projection technique

Details Charge correlations in the weakly doped t-J model calculated by projection technique Charge correlations in the weakly doped t-J model calculated by projection technique

1998-03-17

arxiv.org/abs/cond-mat/9803212v1

Eur. Phys. J. B 3, 427 (1998)

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, 5 figs., to appear in Europ. Phys. J. B

Scientific paper

10.1007/s100510050332

We study frequency- and wave-vector dependent charge correlations in weakly doped antiferromagnets using Mori-Zwanzig projection technique. The system is described by the two-dimensional t-J model. The ground state is expressed within a cumulant formalism which has been successfully applied to study magnetic properties of the weakly doped system. Within this approach the ground state contains independent spin-bag quasiparticles (magnetic polarons). We present results for the charge-density response function and for the optical conductivity at zero temperature for different values of t/J. They agree well with numerical results calculated by exact diagonalization techniques. The density response function for intermediate and large momenta shows a broad continuum on energy scales of order of several t whereas the optical conductivity for \omega > 0 is dominated by low energy excitations (at 1.5 - 2 J). We show that these weak-doping properties can be well understood by transitions between excited states of spin-bag quasiparticles.

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