Abstract
Effective interaction of two-dimensional liquid 3He is studied with the (selfconsistent) reaction matrix theory. The theory is found to be valid in the dilute region, ρ2D ≲0.02 Å−2, where ρ2D is the areal density. In the region, the attractive interaction in the p-wave channel is the most dominant, and the system is expected to undergo a transition to a p-wave superfluid state, except for the dilue limit. The transition temperature is estimated to be of the order of mK in the clean limit. In the dilute limit, ρ2D ≲0.002 Å−2, an s-wave superfluid state becomes more stable than a p-wave one, but the transition temperature is found to be of the order of 0.1 mK at most. Furthermore, in the reaction matrix theory, it is found that a d-wave superfluid state becomes more stable than a p-wave one at ρ2D ≳0.035 Å−2.
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Takahashi, H., Hirashima, D.S. Effective Interaction and Superfluidity in Two-dimensional Liquid 3He. Journal of Low Temperature Physics 121, 1–27 (2000). https://doi.org/10.1023/A:1026488008310
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DOI: https://doi.org/10.1023/A:1026488008310