Absence of crystalline order in two dimensions

Chakravarty, Sudip ; Dasgupta, Chandan (1980) Absence of crystalline order in two dimensions Physical Review B, 22 (1). pp. 369-372. ISSN 0163-1829

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Official URL: http://prb.aps.org/abstract/PRB/v22/i1/p369_1

Related URL: http://dx.doi.org/10.1103/PhysRevB.22.369

Abstract

It is proven that in two dimensions a system of electrons embedded in a uniform neutralizing positive background and interacting by a potential given by e2/r cannot exhibit long-range crystalline order at any finite temperature. The proof is conditional to the following prescription for taking the thermodynamic limit: The potential e2/r is replaced by a screened potential e2e-μr/r and μ is set to zero after the thermodynamic limit is taken.

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