温度对抛物量子阱中极化子能量的影响

采用线性组合算符法和幺正变换法研究温度对抛物型量子阱中极化子基态能和基态结合能的影响. 通过理论推导得到极化子基态能和基态结合能的表达式. 结合量子统计力学中平均声子数的表达式, 得到极化子基态能量和基态结合能与温度的函数关系. 在不同温度下, 分别讨论了极化子基态能量和基态结合能与电子-声子耦合强度和阱宽的关系, 阱深取不同值时讨论了极化子基态能和基态结合能随温度的变化规律. 计算结果表明, 极化子的基态能量和基态结合能都是温度的递增函数.

Effect of Temperature on the Energy of Polaron in a Parabolic Quantum Well

The influence of temperature on the ground state energy and ground state binding energy of polaron in a parabolic quantum well is studied by using the linear combination operator and unitary transformation methods. The expressions of the ground state energy and ground state binding energy of polaron are obtained by theoretical derivation. Combined with the expression of mean number phonons in quantum statistical mechanics, the function relationship between the ground state energy and ground state binding energy of polaron and temperature is obtained. When the temperature takes different values, the relationship between the ground state energy and the ground state binding energy with the electron-phonon coupling strength and well width is discussed respectively. The dependence of ground state energy and ground state binding energy on temperature is discussed when the well depth is taken at different values. The calculation results show that both the ground state energy and the ground state binding energy of the polaron are increasing functions of temperature.