A phenomenological formulation of the enhancement of the susceptibility of liquid 3He in contact with a dielectric surface is presented. The effective Hamiltonian includes a surface term consisting of both the quadratic and the quartic dependence on the surface order parameter. The partition function for this system is calculated using a novel application of the transfer matrix methods. We find a susceptibility that contains the Curie-Weiss-like surface contribution as well as the appropriate field dependence in agreement with experiments. In addition, we find a weak temperature-dependent anomaly in specific heat as well.
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Kumar, P. Surface magnetism in 3He: Thermodynamics. J Low Temp Phys 38, 655–666 (1980). https://doi.org/10.1007/BF00115495
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DOI: https://doi.org/10.1007/BF00115495