THEORY OF HIGH-TEMPERATURE SUPERCONDUCTIVITY IN CUPRATES - III - ENERGY-BANDS, FERMI SURFACES AND DENSITY-OF-STATES OF THE HOLE CARRIERS INTHE PRESENCE OF THE LOCAL ANTIFERROMAGNETIC ORDERING
H. Ushio et H. Kamimura, THEORY OF HIGH-TEMPERATURE SUPERCONDUCTIVITY IN CUPRATES - III - ENERGY-BANDS, FERMI SURFACES AND DENSITY-OF-STATES OF THE HOLE CARRIERS INTHE PRESENCE OF THE LOCAL ANTIFERROMAGNETIC ORDERING, International journal of modern physics b, 11(32), 1997, pp. 3759-3796
We have separated a hole carrier and a localized spin, by treating the
exchange interaction between the spins of a carrier hole and a locali
zed spin in a mean field sense. Then we have constructed the effective
one-electron-type band structure for the hole carriers in the presenc
e of the antiferromagnetic (AF) ordering of the localized spins. In th
e case of the undoped La2CuO4 all the energy bands are fully occupied
by electrons so that La2CuO4 is an insulator. In this sense the presen
t energy bands which include the many body effect fully is completely
different from the ordinary energy band in the local density functiona
l method. The top of the highest valence band is at (pi/a, pi/a, 0)-po
int, and the calculated Fermi surface is small as far as the spin corr
elation length of the AF order is larger than the mean free path. Base
d on this energy band and Fermi surfaces we have calculated various no
rmal state properties and explained their anomalous features, such as
the x-dependence of the electronic specific heat, the linear temperatu
re dependence of the resistivity down to T-c, the x-dependence of the
Hall coefficient with the sign change, the large T dependence of R-H,
the incommensurate peak of the neutron scattering and the instability
at x = 0.125.