Crystallization of a classical two-dimensional electron system: Positional and orientational orders

Details Crystallization of a classical two-dimensional electron system: Positional and orientational orders Crystallization of a classical two-dimensional electron system: Positional and orientational orders

1999-02-24

arxiv.org/abs/cond-mat/9902322v4

Phys. Rev. B59, 14911 (1999)

Physics

Condensed Matter

Strongly Correlated Electrons

3 pages, 4 figures; Corrected typos; Double columned

Scientific paper

10.1103/PhysRevB.59.14911

Crystallization of a classical two-dimensional one-component plasma (electrons interacting with the Coulomb repulsion in a uniform neutralizing positive background) is investigated with a molecular dynamics simulation. The positional and the orientational correlation functions are calculated for the first time. We have found an indication that the solid phase has a quasi-long-range (power-law) positional order along with a long-range orientational order. This indicates that, although the long-range Coulomb interaction is outside the scope of Mermin's theorem, the absence of ordinary crystalline order at finite temperatures applies to the electron system as well. The `hexatic' phase, which is predicted between the liquid and the solid phases by the Kosterlitz-Thouless-Halperin-Nelson-Young theory, is also discussed.

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