Binding energies of 2D laterally confined trions

The localization of two-dimensional (2D) 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.