Failure of Fermi Liquid Theory in 2-D: A Signal from Perturbation Theory

Details Failure of Fermi Liquid Theory in 2-D: A Signal from Perturbation Theory Failure of Fermi Liquid Theory in 2-D: A Signal from Perturbation Theory

1994-04-11

arxiv.org/abs/cond-mat/9404023v1

Physics

Condensed Matter

Revtex Version 3.0, 11 pages

Scientific paper

We study the perturbative correction to the ground state energy eigenvalue of a 2-dimensional dilute fermi gas with weak short-range two body repulsion. From the structure of the energy shift we infer the presence of an induced two body long range repulsive interaction $ {\displaystyle {1\over{r^2}} }$ among the constituent electrons indicating a potential instability of the fermi liquid ground state.

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