Landau levels of two-dimensional negatively charged three-particle Coulomb states

Abstract

We study the influence of a low external uniform magnetic field on the energy levels of three-particle Coulomb states in a strictly two-dimensional medium. We show that at low magnetic fields, when the coupling between the relative motion and the motion of the centre of mass may be neglected, additional Landau levels appear. We compute the ground state energy corresponding to the relative motion as a function of the strength of the magnetic field for different values of the mass ratio of the negatively and positively charged particles. We compare our results with those we obtained previously in the three-dimensional limit.

Charged Magnetoexcitons in Two Dimensions: Isolated X? and Many-Electron Effects

“…Theoretically, the behavior of X À at high B (charged magnetoexcitons), has been studied in the strictly-2D geometry [15], in realistic QWs [16,17], in a confining potential of a donor ion [18] and a quantum dot [19], and in a spherical geometry [20,21] 2 Þ. The binding of X À at low magnetic fields has also been studied [23,24].…”

The effect of magnetic field on the ground and excited states of the two-dimensionalD-centre

“…where, if E b > 0 (< 0), the D − states are the bound (unbound) states. The binding energy of a D − centre in the magnetic field has been calculated with different models [3,5,6]. However, the results obtained are in the limit of either a low or a high magnetic field.…”

“…However, the results obtained are in the limit of either a low or a high magnetic field. For example, the ground-state binding energy of a D − centre in a low magnetic field was obtained by a variational method [5], the precision of which is particularly dependent upon the variational wave function selected, and the calculation of the excited states is questionable. The energy of four bound states were obtained in the high magnetic field limit [3,6], but their variation as a function of magnetic field is unknown.…”

Two-dimensional charged electron–hole complexes in magnetic fields: keeping magnetic translations preserved

“…In magnetic fields B, in addition to the spin-singlet, higher-lying triplet states of X − and X + have been observed [1]. Theoretically, free charged excitons have been studied in strictly 2D systems in the limit of high [2] and low [3] magnetic fields and in quasi-2D systems at high magnetic fields [4,5]. For one-component electron systems in magnetic fields, the center-of-mass motion separates from internal degrees of freedom.…”