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Paper   IPM / Physic / 6845
School of Physics
  Title:   Effective Interactions between Parallel-Spin Electrons in Two-Dimensional Jellium Approaching the Magnetic Phase Transition
1.  B. Davoudi
2.  M. Polini
3.  G. Sica
4.  M. P. Tosi
  Status:   Published
  Journal: Solid State Commun.
  No.:  104
  Vol.:  121
  Year:  2002
  Pages:   295-299
  Supported by:  IPM
We evaluate the effective interactions in a fluid of electrons moving in a plane, on the approach to the quantum phase transition from the paramagnetic to the fully spin-polarized phase that has been reported from Quantum Monte Carlo runs. We use the approach of Kukkonen and Overhauser to treat exchange and correlations under close constraints imposed by sum rules. We show that, as the paramagnetic fluid approaches the phase transition, the effective interactions at low momenta develop an attractive region between parallel-spin electrons and a corresponding repulsive region for antiparallel-spin electron pairs. A connection with the Hubbard model is made and used to estimate the magnetic energy gap and hence the temperature at which the phase transition may become observable with varying electron density in a semiconductor quantum well.

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