LANDE'S g VALUE IN QUANTUM DOTS IN AlxGa1-xAs

Abstract

The light-hole g value in Al x Ga 1-x As is found to show scaling behavior as a function of quantum well width, g ≃( well width )-β with β ≃ 0.3. When x is varied to change the Ga concentration there is a critical value of the concentration of 1 - x0 = 0.88, at which the g value vanishes, g⊥ = 0. There is a scaling behavior, g⊥ = 2[1 - (1 - x)/(1 - xo)]y. The g⊥ data varies from about -0.42 for x = 0 to 0.60 for x = 0.374. Hence, the large variations in the g values are due to a phase transition. Similar results for InAs are also discussed. The contribution to the g value arising from the Calogero-type potential is deduced, which gives rise to wave functions in the form of Jack polynomials.