Metal-Insulator Transition in Two- and Three-Dimensional Logarithmic Plasmas

We consider the scaling of the mean square dipole moment in a plasma with logarithmic interactions in a two- and three-dimensional systems. In both cases, we establish the existence of a low-temperature regime where the mean square dipole moment does not scale with system size and a high-temperature regime where it does scale with system size. Thus, there is a nonanalytic change in the polarizability of the system as a function of temperature and hence a metal-insulator transition in both cases. The relevance of this transition in three dimensions to quantum phase transitions in (2+1)-dimensional systems is briefly discussed.

Note:

4 pages, 2 figures. One figure removed, replaced by analytical results. Accepted for publication in Physical Review Letters

52.65.Pp
64.60.Cn
71.30.+h

References(21)

Figures(0)

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