Dh. Huang et Mo. Manasreh, EFFECTS OF THE SCREENED EXCHANGE INTERACTION ON THE TUNNELING AND LANDAU GAPS IN DOUBLE-QUANTUM WELLS, Physical review. B, Condensed matter, 54(3), 1996, pp. 2044-2048
A self-consistent screened Hartree-Fock calculation, combined with the
Landau quantization of in-plane electron motion, is performed to find
the eigenstates and eigenenergies of electrons in double quantum well
s. This theory is applicable to both the low and strong magnetic-field
cases. The screened exchange interaction is calculated by using a gen
eralized Thomas-Fermi screening model. The approximately linear increa
se of the tunneling gap at low magnetic fields (B<9 T) and the switchi
ng of the ground state between the tunneling-split first Landau levels
are seen and explained as a result of the increasing of screening eff
ects on the exchange interaction when both tunneling-split first Landa
u levels are filled.