Based on the Correlated-Basis-Functions (CBF) theory, we have obtained the many-body wave function for the quasi-two-dimensional electron system in Al x Ga 1-x As-GaAs heterojunction. The pair-correlation functions g(R) were calculated, and a new method for the calculation of correlation energy was also presented.
摘要 本文运用CBF(correlation basis function) 理论, 由电子间的有效势V_eff_(R) 和电子气的集体振荡行为, 给出准二维电子体系— 半导体反型层中的电子的关联因予U (R), 得到该体系的对关联函数、关联能和多体波函数. Abstract The correlation factor u(R) m the quasi two dimensional system—the inversion layer is obtained with the effective interaction potential V_eff_(R) and the collective oscillation behavior of the electron gas. The pair correlation function the correlation energy and the many-body wave function have been calculated on the basis of the CBF theory. 作者及机构信息 江鸿伟;邵金山;冯伟国;孙鑫 1. 江西师范大学物理系 复旦大学物理系 Authors and contacts 参考文献 施引文献
Based on the real-space correlated-basis-functions theory and the collective oscillation behaviour of the electron gas with effective Coulomb interaction, the many-body wavefunction is obtained for the quasi-two-dimensional electron system in the semiconductor inversion layer. The pair-correlation function and the correlation energy of the system have been calculated by the integro-differential method. A comparison with other previous theoretical results is also made. The new theoretical approach and its numerical results show that the pair-correlation functions are definitely positive and satisfy the normalisation condition.
For the quasi one-dimensional electron systems with coulomb interaction, a new model is presented. The form of effective Coulomb potential is derived. Based on the correlated wave function theory, the many-body wave function is obtained on the basis of the collective oscillation behavior of the electron gas. The pair correlation functions and correlation energies of the different electron densities are obtained. The pair correlation functions obtained in this paper are positive definite and satisfy the normalization condition.
We developed a many-body method to calculate the electron correlated basis function of excited state. Based on the Chakravarty-Woo equation and functional expansion and convolution approximation, we got the linear integral iteration equation for the variation of density and correlation function, so the wave function, due to electron excitation. A general formula for excitation energy in many-body problem is obtained From this and the known experimental data, we found the energy gap and electron correlation in 1-d conducting polymer. The result is in good accordance with the experiment.