相互作用各向异性电子气中费米面拓扑和裸椭圆性的重整化
Fermi-surface topology and renormalization of bare ellipticity in an interacting anisotropic electron gas
摘要：
本文在RPA-GW自能近似下研究了各向异性二维电子气中电子-电子相互作用对费米面形状的影响。我们发现，相互作用费米面偏离椭圆，但不是以任意方式。对于大多数$r_s$值，相互作用费米面只有两种性质上不同的形状。随着$r_s$的增加，费米面在这两种形状之间经历了两个明显的转变。对于较大的$r_s$，偏离椭圆的程度迅速增加，但是，在一般情况下，我们的理论提供了一个理由，广泛使用的椭圆费米面近似，即使是相互作用系统，因为非椭圆修正定量相当小，除了非常大的$r_s$。
英文摘要：
We investigate effects of electron-electron interactions on the shape of the Fermi surface in an anisotropic two-dimensional electron gas using the `RPA-GW' self-energy approximation. We find that the interacting Fermi surface deviates from an ellipse, but not in an arbitrary way. The interacting Fermi surface has only two qualitatively distinct shapes for most values of $r_s$. The Fermi surface undergoes two distinct transitions between these two shapes as $r_s$ increases. For larger $r_s$, the degree of the deviation from an ellipse rapidly increases, but, in general, our theory provides a justification for the widely used elliptical Fermi surface approximation even for the interacting system since the non-elliptic corrections are quantitatively rather small except for very large $r_s$.
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