Exciton and donor binding energies in quantum-well wires and quantum dots a fractional-dimensional space approach

• 来源期刊: 中国物理(英文版)
• 关键词: binding energy fractional-dimensional
• 年，卷（期）: 2004,（5）
• 页码范围: 759-764
• 页数: 6页
• 语种: 英文

摘要

A simple method for calculating the free-exciton binding energies in the fractional-dimensional-space model for single-quantum-well structure has been extended to quantum-well wires and quantum dots, in which the real anisotropic system is modelled through an effective isotropic environment with a fractional dimension. In this scheme, the fractionaldimensional parameter is chosen via an analytical procedure and involves no ansatz. We calculated the ground-state binding energies of excitons and donors in quantum-well wires with rectangular cross sections. Our results are found to be in good agreement with previous variational calculations and available experimental measurements. We also discussed the ground-state exciton binding energy changing with different shapes of quantum-well wires.