Abstract
It is shown that no long-range crystalline order is possible in a two-dimensional electron system, in spite of the long-range nature of the forces. The order is destroyed by the transverse phonons, as can be seen either by Peierls' argument or more rigorously by a modification of Mermin's argument.
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Alastuey, A., Jancovici, B. Absence of strict crystalline order in a two-dimensional electron system. J Stat Phys 24, 443–449 (1981). https://doi.org/10.1007/BF01012815
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DOI: https://doi.org/10.1007/BF01012815