EFFECTS OF 3-BODY AND BACKFLOW CORRELATIONS IN THE 2-DIMENSIONAL ELECTRON-GAS

EFFECTS OF 3-BODY AND BACKFLOW CORRELATIONS IN THE 2-DIMENSIONAL ELECTRON-GAS
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DOI:
10.1103/physrevb.48.12037
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发表时间:
1993-10-15
期刊:
影响因子:
3.7
通讯作者:
MARTIN, RM
MARTIN, RM
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
KWON, YK;CEPERLEY, DM;MARTIN, RM

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本文采用变分和固定结点绿色函数蒙特卡罗方法研究了三体关联和回流关联对二维电子气基态性质的影响。结果表明,在高密度(r(s)约为1)时,回流效应对三体效应起主导作用,而在低密度(r(s)约为20)时,两者的作用相当。有了这些相关性,我们发现显着的改进,变分和固定节点的能量在斯莱特-杰斯特罗的结果,只考虑两体相关。其效果与散装He-3中的效果相当。本文给出了二维电子气相关能随密度变化的解析表达式。
We investigate the effects of three-body and backflow correlations on ground-state properties of the two-dimensional electron gas by both variational and fixed-node Green's-function Monte Carlo methods. It is found that the backflow effect is dominant over the three-body effect at high density (r(s) approximately 1) while they are of equal importance at the lowest density considered (r(s) approximately 20). With these correlations, we find significant improvements in both variational and fixed-node energies over the Slater-Jastrow results which consider only two-body correlation. The effects are comparable to those in bulk He-3. We present an analytic expression for the correlation energy of the two-dimensional electron gas as a function of the density.