{"title":"Numerical Calculation of the Ionization Energy of Donors in a Cubic Quantum well and Wire","authors":"Sara Sedaghat, Mahmood Barati, Iraj Kazeminezhad","country":null,"institution":"","volume":50,"journal":"International Journal of Nuclear and Quantum Engineering","pagesStart":107,"pagesEnd":110,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/15771","abstract":"The ionization energy in semiconductor\r\nsystems in nano scale was investigated by using effective mass\r\napproximation. By introducing the Hamiltonian of the system, the\r\nvariational technique was employed to calculate the ground state and\r\nthe ionization energy of a donor at the center and in the case that the\r\nimpurities are randomly distributed inside a cubic quantum well. The\r\nnumerical results for GaAs\/GaAlAs show that the ionization energy\r\nstrongly depends on the well width for both cases and it decreases as\r\nthe well width increases. The ionization energy of a quantum wire\r\nwas also calculated and compared with the results for the well.","references":null,"publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 50, 2011"}