Low-density expansion for the two-dimensional electron gas

Details Low-density expansion for the two-dimensional electron gas Low-density expansion for the two-dimensional electron gas

2006-08-18

arxiv.org/abs/cond-mat/0608423v2

Phys. Rev. B 74, 193106 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 1 figure, typos corrected

Scientific paper

10.1103/PhysRevB.74.193106

We show that in two dimensions (2D) a systematic expansion of the self-energy and the effective interaction of the dilute electron gas in powers of the two-body T-matrix T_0 can be generated from the exact hierarchy of functional renormalization group equations for the 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.

Affiliated with

Also associated with

No associations

Rating

Low-density expansion for the two-dimensional electron gas does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Low-density expansion for the two-dimensional electron gas, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Low-density expansion for the two-dimensional electron gas will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-567386