Abstract
The orientational ordering of ortho-hydrogen molecules on a triangular lattice is calculated as a function of ortho concentration using the method of restricted traces. The calculated temperatures for the transitions from the disordered phase to the long range pinwheel ordered phase show a strong concentration dependence with a critical concentration X c=73% below which the long range ordering is not realized in this model. The results are consistent with recent NMR studies of ortho-para hydrogen mixtures adsorbed as a commensurate \(\sqrt 3 \)×\(\sqrt 3 \) structure on hexagonal boron nitride for which X c=69±4%. The values of the observed transition temperatures can only be understood if there is a large renormalization of the effective quadrupolar interaction constant in 2D.
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Sullivan, N.S., Kim, K. The Orientational Ordering of Molecular Hydrogen in 2D. Journal of Low Temperature Physics 120, 89–106 (2000). https://doi.org/10.1023/A:1004660919750
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DOI: https://doi.org/10.1023/A:1004660919750