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Paper IPM / P / 8407  


Abstract:  
We investigate the spindependent effective electronelectron
interactions in a uniform system of twodimensional electrons to
understand the spontaneous magnetization expected to occur at very
low density. For this purpose, we adopt the KukkonenOverhauser
form for the effective interactions which are built by accurately
determined localfield factors describing the charge and spin
fluctuations. The critical behavior of the effective interaction
for parallel spin electrons allows us to quantitatively locate the
transition to the ferromagnetic state at r_{s} ≈ 27. When
the finite width effects are approximately taken into account the
transition occurs at r_{s} ≈ 30 in agreement with recent
quantum Monte Carlo calculations.
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