Abstract
For a one-dimensional Ising model with interaction energy
it is proved that there is no long-range order at any temperature when
The same result is shown to hold for the corresponding plane rotator model when
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Rogers, J.B., Thompson, C.J. Absence of long-range order in one-dimensional spin systems. J Stat Phys 25, 669–678 (1981). https://doi.org/10.1007/BF01022361
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DOI: https://doi.org/10.1007/BF01022361