Absence of crystalline order in two dimensions

Sudip Chakravarty and Chandan Dasgupta
Phys. Rev. B 22, 369 – Published 1 July 1980
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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 e2r 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 e2r is replaced by a screened potential e2eμrr and μ is set to zero after the thermodynamic limit is taken.

  • Received 28 August 1979

DOI:https://doi.org/10.1103/PhysRevB.22.369

©1980 American Physical Society

Authors & Affiliations

Sudip Chakravarty

  • Institute for Theoretical Physics, University of California, Santa Barbara, Santa Barbara, California 93106

Chandan Dasgupta

  • Department of Physics and Institute for Pure and Applied Physical Sciences, University of California, San Diego, La Jolla, California 92093

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Issue

Vol. 22, Iss. 1 — 1 July 1980

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