Inspired by recent experiments on bilayer 3He, we consider a bilayer Hubbard model on a triangular lattice. For appropriate model parameters, we observe a band-selective Mott transition at a critical chemical potential, mu_c, corresponding to the solidification of the fermions in the first layer. The growth of the effective mass on the metallic side (mu < mu_c) is cut off by a first order transition in which the first layer fermions drop out of the Luttinger volume and their spin degrees of freedom become locked in a spin singlet state. These results are obtained from a cluster dynamical mean-field calculation on an eight-site cluster with a quantum Monte Carlo cluster solver.
@article{arxiv.0905.1127,
title = {Bilayer Hubbard model for 3He: a cluster dynamical mean-field calculation},
author = {K. S. D. Beach and F. F. Assaad},
journal= {arXiv preprint arXiv:0905.1127},
year = {2009}
}