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THE CORRELATION FUNCTION OF TWO DIMENSIONAL ELECTRON GAS

X Xiong

The correlation function of two dimensional electron gas with the presence of a strong perpendicular magnetic field has been studied on the basis of the wave function in small system. A formula of the correlation function of a finite cluster has been obtained for numerical calculation.

Acta Physica SinicaJan 1, 19890 citations

THE ELECTRON CORRELATION FUNCTION OF QUASI ONE-DIMENSIONAL SYSTEM

FENG WEI-GUO, SUN XIN, 复旦大学物理系,中国科学技术大学结构分析中心开放实验室

For the quasi one-dimensional electron systems with coulomb interaction, the many-body wave function is obtained on the basis of the correlation oscillation behavior of the electron gas, and the electron correlation function g (|z12|) for quasi one-dimensional systems has been calculated in this paper.

Acta Physica SinicaJan 1, 19872 citations

Interacting electrons in two-dimensional Landau levels: Results for small clusters

S. M. Girvin, Terrence Jach

We study the two-dimensional electron gas in a quantizing magnetic field for the cases of Coulomb and harmonic interactions among the electrons. Numerical solutions for the quantum states of clusters of up to five electrons show that the strength of the excitation gap is a strongly oscillating function of the density not unlike what is observed in the anomalous quantum Hall effect. We present analytic results for the case of harmonic interactions and show that the variational wave function recently proposed by Laughlin for the Coulomb problem is in fact an exact eigenstate of the harmonic problem.We study the two-dimensional electron gas in a quantizing magnetic field for the cases of Coulomb and harmonic interactions among the electrons. Numerical solutions for the quantum states of clusters of up to five electrons show that the strength of the excitation gap is a strongly oscillating function of the density not unlike what is observed in the anomalous quantum Hall effect. We present analytic results for the case of harmonic interactions and show that the variational wave function recently proposed by Laughlin for the Coulomb problem is in fact an exact eigenstate of the harmonic problem.

Physical review. B, Condensed matterOct 15, 1983133 citations

ELECTRON CORRELATION AND MANY-BODY WAVE FUNC-TION OF THE SEMICONDUCTOR INVERSION LAYER

Hongwei Wang, Shao Jin-Shan, Wei-Guo Feng +1 more

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.

Acta Physica SinicaJul 8, 20051 citation

Correlation Energy of an Electron Gas in the Quantum Strong-Field Limit

Gerd E. Keiser, Fa Yueh Wu

The ground state of an electron gas in an intense magnetic field is studied using a wave function of the product form ${\ensuremath{\Psi}}_{0}^{B}\ensuremath{\Phi}$. The correlation factor ${\ensuremath{\Psi}}_{0}^{B}$ is taken to be the ground-state solution of a charged Bose gas and $\ensuremath{\Phi}$ a determinant of single-particle Landau states. In the quantum strong-field limit so that only the lowest Landau state is populated, the correlation energy is computed using the cluster-expansion technique and a variational determination of the boson energy. Numerical results obtained are lower than those derived under the random-phase approximation.The ground state of an electron gas in an intense magnetic field is studied using a wave function of the product form ${\ensuremath{\Psi}}_{0}^{B}\ensuremath{\Phi}$. The correlation factor ${\ensuremath{\Psi}}_{0}^{B}$ is taken to be the ground-state solution of a charged Bose gas and $\ensuremath{\Phi}$ a determinant of single-particle Landau states. In the quantum strong-field limit so that only the lowest Landau state is populated, the correlation energy is computed using the cluster-expansion technique and a variational determination of the boson energy. Numerical results obtained are lower than those derived under the random-phase approximation.

Physical Review AOct 1, 19739 citations

Green’s function of a two-dimensional interacting electron gas in a perpendicular magnetic field

Xiaoguang Wu

It is rigorously proved that the Green's function of a uniform two-dimensional interacting electron gas in a perpendicular magnetic field is diagonal with respect to single-particle states in the Landau gauge. The implication of this theorem is briefly discussed. \textcopyright{} 1996 The American Physical Society.

Physical review. B, Condensed matterSep 15, 19963 citations

THE CORRELATION FUNCTION OF TWO DIMENSIONAL ELECTRON GAS

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THE CORRELATION FUNCTION OF TWO DIMENSIONAL ELECTRON GAS

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