The electronic spectrum of a doped semiconductor described by the Anderson-Holstein impurity model and its conductivity derived
from the Kubo linear response theory are calculated. Two characteristic temperatures depending on the doping level
x are found in the phase diagram,
T
PG and
T
λ(
x). The pseudogap that opens in the single-particle spectrum at low doping levels and temperatures closes at the lower one,
T
PG. The pseudogap state of an insulator is attributed to spin fluctuations in a doped compound. At the higher characteristic
temperature
T
λ(
x),, spin fluctuations vanish and the doped compound becomes a paramagnetic poor metal. Two distinct metal-insulator crossovers
between semiconductor-like and metallic temperature dependence of resistivity are found. An insulator-to-poor-metal transition
occurs at
T
*(
x) ≈
T
λ(
x). A poor-metal-to-insulator transition at a lower temperature is attributed to the temperature dependence of density of states
in the pseudogap. It is shown that both transitions are observed in La
2−x
Sr
xCUO
4.
PACS numbers 71.30.+h - 74.72.-h
Original Russian Text © A.I. Agafonov, É.A. Manykin, 2006, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki,
2006, Vol. 129, No. 1, pp. 183–196.