Density of states in impurity bands

Hydrogenic Impurity Bands in an External Magnetic Field

“…Quite generally a variational calculation enables the eigenfunctions of (3.3) to be obtained (Cloulson [22]) . They arc where w,(R), v2(&), and LI are as defined in [18]. We shall denote Eo -E + , E, -E-by Fh( R ) , F a b ( R ) , respectively.…”

“…I n the notation of Lukes et al [18] we consider the density of states calculated as where The Hamiltonian used can be written…”

“…To the authors' knowledge the only calculat'ions on impurity bands which have been carried out are those of Rasegawa and Nakamura IS] whose considerations were limited to short-range potentials. The work in the present paper is based on the method of Lukes et al [18], cxtcnded to take account of magnetic fields and also (in a simple way) electron screening. The most important conclusion from our work is that, for sufficiently low concentrations, band splitting can still take place in a magnetic field.…”

Cluster Model of Impurity States in Doped Semiconductors

“…The same approach has been followed by Lukes et al 13 (11) We can improve H (C) by including the electronic contribution in a similar fashion as (12) The version of the effective one-electron Hamiltonian 1-I (C) should be very close to that used by Weissmann and Cohen') in their extended Hikkel approximation. Finally, to illustrate the effect of ionic potential only, we introduce the last simplified form…”