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

G. Baskaran

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arXiv · cond-mat/9404023

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

G. Baskaran

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Abstract

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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G. Baskaran. 1994-04-11. Failure of Fermi Liquid Theory in 2-D: A Signal from Perturbation Theory. https://arxiv.org/abs/cond-mat/9404023

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