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Novel Electrostatic Attraction from Plasmon Fluctuations

In this Letter, we show that at low temperatures, zero-point fluctuations of the plasmon modes of two mutually coupled 2-D planar Wigner crystals give rise to a novel long-range attractive force. For the case where the distance $d$ between two planar surfaces is large, this attractive force has an unusual power-law decay, which scales as $d^{-7/2},$ unlike other fluctuation-induced forces. Specifically, we note that its range is longer than the ``standard'' zero-temperature van der Waals interaction. This result may in principle be observed in bilayer electronic systems and provides insight into the nature of correlation effects for highly charged surfaces.