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

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

2003-11-23

arxiv.org/abs/cond-mat/0311524v2

Physical Review Letters, 92, 186403 (2004)

Physics

Condensed Matter

Strongly Correlated Electrons

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

Scientific paper

10.1103/PhysRevLett.92.186403

We consider scaling of the mean square dipole moments in a plasma with logarithmic interactions in a two- and three-dimensional system. 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.

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