A. Sherman et M. Schreiber, EVOLUTION OF HOLE AND MAGNON SPECTRA OF THE 2-DIMENSIONAL T-J MODEL WITH DOPING, Physical review. B, Condensed matter, 50(17), 1994, pp. 12887-12895
Hole and magnon spectral functions of the two-dimensional t-J model ar
e self-consistently calculated for hole concentrations x less than or
similar to 0.3. The employed system of Dyson's equations was obtained
with the use of the Born and spin-wave approximations. It is shown tha
t near x = 0.05 the hole spectrum is changed drastically acquiring fea
tures of a wealrly correlated spectrum. This change is accompanied by
a substantial decrease of the carrier effective mass and by entering t
he chemical potential mu into a sharp maximum of the density of states
. With increasing a the maximum moves together with mu up to x approxi
mate to 0.15 and then lags behind. This concentration is also distingu
ished by the facts that the Fermi surface becomes a simply connected s
urface and overdamped magnons, which appear at x approximate to 0.02,
occupy the widest region in kappa space. Besides, here usual magnons h
ave the smallest limiting frequency which is approximately three times
smaller than the initial one. Significant deviations from the normal
Fermi liquid, which partly resemble marginal Fermi liquid, are observe
d for x greater than or similar to 0.05.