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We theoretically study the stability of the solidified second-layer 3He at4/7 of the first-layer density adsorbed on graphite, which exhibits quantumspin liquid. We construct a lattice model for the second-layer 3He by takingaccount of density fluctuations on the third layer together by employing therefined configuration recently found by path integral Monte Carlo simulations.When holes are doped into the 4/7 solid, within the mean-field approximation,the density-ordered fluid emerges. The evolution of hole pockets offers aunified explanation for the measured doping and temperature dependences ofspecific-heat anomalies. We argue that differentiation in momentum space is akey to understanding the physics and accounts for multiscale thermodynamicanomalies in the mono- and double-layered 3He systems beyond the mean-fieldlevel.

On Proximity of 4/7 Solid Phase of 3He Adsorbed on Graphite -Origin of Specific-Heat Anomalies in Hole-Doped Density-Ordered Solid-