Layered (formula presented) and (formula presented) mixture between two surfaces

We examine the static, dynamic, and low-temperature thermodynamic properties of liquid (formula presented) and the low-concentration limit of (formula presented) mixtures confined between two walls. A generalized variational Jastrow-Feenberg ansatz with time-dependent correlations is used for describing the excited states; the present variant accounts for up to three-phonon effects. We show that with decreasing wall separation the quantum liquid goes though a sequence of confined layering transitions familiar from classical fluids. These transitions are due to the geometry and have potentially observable effects in the roton excitations near wave vector (formula presented) In high-density liquid (formula presented) (formula presented) impurities assemble in the middle of the gap forming a nearly perfect two-dimensional Fermi-liquid layer.