Ground state of a quasi-two-dimensional electron gas

2004 ◽  
Vol 22 (1-3) ◽  
pp. 148-151 ◽  
Author(s):  
Yasumitsu Ito ◽  
Kazuyuki Okazaki ◽  
Yoshihiro Teraoka
Keyword(s):  
Ground State ◽  
Electron Gas ◽  
Two Dimensional ◽  
Dimensional Electron ◽  
Two Dimensional Electron Gas ◽  
Dimensional Electron Gas

Ground state of the two-dimensional electron gas

1989 ◽  
Vol 39 (8) ◽  
pp. 5005-5016 ◽  
Author(s):  
B. Tanatar ◽  
D. M. Ceperley
Keyword(s):  
Ground State ◽  
Electron Gas ◽  
Two Dimensional ◽  
Dimensional Electron ◽  
Two Dimensional Electron Gas ◽  
Dimensional Electron Gas

Accurate ground-state variational wavefunction for the two-dimensional electron gas

2014 ◽  
Vol 28 (21) ◽  
pp. 1450148
Author(s):  
Zhang-Wei Zhou ◽  
Jiu-Xun Sun ◽  
Muhammad Ammar Khan
Keyword(s):  
Ground State ◽  
Electron Gas ◽  
Average Energy ◽  
Two Dimensional ◽  
Dimensional Electron ◽  
Two Dimensional Electron Gas ◽  
Dimensional Electron Gas ◽  
The One ◽  
Two Parameters ◽  
Better Than

A variational wavefunction with two parameters is proposed for the two-dimensional electron gas (2DEG). The new wavefunction does not contain noninteger power of coordinate, and all integrals involving wavefunction can be analytically evaluated. This overcomes the shortcoming of the one proposed by Grinberg [ Phys. Rev. B 32, 4028 (1985)] which contains noninteger power of coordinate. The parameters have been determined by minimizing the average energy of an electron. The numerical results of energy and average separation of carriers for the ground state are in excellent agreement with the exact self-consistent (sc) results with average errors 0.21% and 0.57%. The accuracy is several times better than the wavefunction proposed of Grinberg with average errors 1.07% and 1.41%. The results also show that the triangular approximation for electric potential is correct as the density of 2DEG is low, but it deviates from the real situation as the density of 2DEG is high.

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