Binding energies of 2D laterally confined trions

The localization of two-dimensional (213) trions on the attractive potential of the arbitrary shape and strength is studied theoretically. We suggest a general method for the construction of a simple and descriptive trial function suitable for the calculation of the ground state binding energy for electron-hole complexes. The limiting cases corresponding to different relations between characteristic parameters are analyzed. Binding energy of the 2D trions, localized on parabolic potential, is calculated in a wide range of values of its parameters. (TM) 2007 Elsevier B.V. All rights reserved.