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arXiv · 0905.1127

Bilayer Hubbard model for 3He: a cluster dynamical mean-field calculation

K. S. D. Beach·F. F. Assaad
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Abstract

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.

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K. S. D. Beach, F. F. Assaad. 2009-05-07. Bilayer Hubbard model for 3He: a cluster dynamical mean-field calculation. https://arxiv.org/abs/0905.1127

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