Geometric frustration and dimensional reduction at a quantum critical point

We show that the spatial dimensionality of the quantum critical point associated with Bose-Einstein condensation at T=0 is reduced when the underlying lattice comprises layers coupled by a frustrating interaction. Our theoretical predictions for the critical behavior correspond very well with recent measurements in BaCuSi2O6 [ S. E. Sebastian et al., Nature (London) 441, 617 (2006)].