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The argument of Landau and Lifshitz for the absence of long-range order in one-dimensional systems is used to show that order is absent if the interaction energy falls off faster than n^-2. When the interaction falls off as n^-2, the order cannot go continuously to zero.
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D. J. Thouless (Mon,) studied this question.
www.synapsesocial.com/papers/69d7fa187392c8ce61bee5bb — DOI: https://doi.org/10.1103/physrev.187.732
D. J. Thouless
Physical Review
Stony Brook University
State University of New York
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