Failure or Fermi Liquid Theory in 2 Dimensions: How to Infer it from Perturbation Theory

  • G. Baskaran
Part of the NATO ASI Series book series (NSSB, volume 343)


We look at the perturbative correction to the ground state energy eigenvalue of a weakly interacting dilute fermi gas in 2-dimensions. From the structure of the energy shift we are able to infer the presence of an effective two body long range interaction \( \frac{1}{{{r^2}}} \) among the constituent electrons in the ground state. This renormalised long range interaction inferred from perturbation theory is used to argue that the final effect is a failure of fermi liquid theory. We also state a new and simple theorem and give a heuristic proof. This leads to a Bethe ansatz type structure for our problem in two dimensions in a natural way.


Vector Potential Hubbard Model Energy Shift Fermi Liquid Theory Landau Parameter 
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Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • G. Baskaran
    • 1
  1. 1.The Institute of Mathematical SciencesMadrasIndia

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