NONRADIATIVE CAPTURE OF ELECTRONS IN QUANTUM-WELLS AND WIRES BY SHALLOW DONOR IMPURITIES

The capture of electrons in a quantum well or wire by shallow donor im purities due to the interaction with an acoustic phonon is considered. Wave functions of several lowest bound states are found by the variat ional method. The rates of transitions between the free and bound stat es as well as between different bound states are calculated. In the ca se of well or wire width L less than or of the order of the effective Bohr radius and greater than the phonon wavelength, the transition rat es are proportional to epsilon(-5)(n(epsilon) + 1/2 +/- 1/2) L(-6), Wh ere Eis the transferred energy, and n(epsilon)a phonon occupation numb er.