Search for Tomonaga-Luttinger liquid in liquid 3He confined in one-dimensional pores

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The purpose of study is to search the feature of a quasi one-dimensional (1D) system of fermion with a hard core. For this purpose, we adopt the system of 3He which is confined into a nanometer-size 1D channel. We have performed NMR measurements under the saturation vapor pressure, and observed the reduction of magnetic moment at low temperatures. This is due to the degenerate of liquid 3He in the channel. Our findings are significant advance to search the feature of degenerate phase in quasi 1D system of 3He.As a target for comparison, a 4He system, which obeys bose statistics, is important. Thus, we have also promoted the study of 4He confined in 1D channel. We found that the superfluid response shows a large frequency dependence. Furthermore, this dynamic superfluid response is consistent with the theoretical prediction based on the Tomonaga-Luttinger liquid model.