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Journal of Physics Condensed Matter

A new real-space correlated-basis-functions approach for electron correlations of the semiconductor inversion layer

Wei-guo Feng, Hongwei Wang, Xiang Ying Wu

Published Jul 2, 1990• 0 citations
Publisher

Abstract

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.

DOI
10.1088/0953-8984/2/26/009

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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.
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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
We present analytical and numerical results for the pair-correlation function g(r=0)g(r=0)g(r=0) of the electron gas with long-range Coulomb interaction obtained within the ladder theory. Analytical results obtained by perturbation calculation and a Pad\'e approximation are derived and are found to be in good agreement with our numerical solution of the ladder equation. Finite-width effects in the two-dimensional electron gas (quantum well) are also described. For quasi-one-dimensional systems (quantum wires) numerical and analytical results are derived for an oscillator confinement model.