Low-density expansion for the two-dimensional electron gas

被引：7

作者：

Sauli, Francesca ^{[1
]}

Kopietz, Peter ^{[1
]}

机构：

[1] Univ Frankfurt, Inst Theoret Phys, D-60438 Frankfurt, Germany

来源：

PHYSICAL REVIEW B | 2006年 / 74卷 / 19期

关键词：

D O I：

10.1103/PhysRevB.74.193106

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We show that in two dimensions (2D) a systematic expansion of the self-energy and the effective interaction of a dilute electron gas in powers of the two-body T matrix T-0 can be generated from an exact hierarchy of the functional renormalization group equations for one-particle irreducible vertices using the chemical potential as flow parameter. Due to the interference of particle-particle and particle-hole channels at order T-0(2), in 2D the ladder approximation for the self-energy is not reliable beyond the leading order in T-0. We also discuss two-body scattering in vacuum in arbitrary dimensions from the renormalization group point of view and argue that the singular interaction proposed by Anderson [Phys. Rev. Lett. 65, 2306 (1990)] cannot be ruled out on the basis of the ladder approximation.

引用

页数：4

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