Geometric Frustration and Dimensional Reduction at a Quantum Critical Point

Abstract

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 a set of layers coupled by a frustrating interaction. Our theoretical predictions for the critical temperature as a function of the chemical potential correspond very well with recent measurements in BaCuSi${}_2$O${}_6$ [S. E. Sebastian \textit{et al}, Nature \textbf{411}, 617 (2006)].

5 pages, 2 figures

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• Two-Dimensional Weakly Interacting Bose Gas in the Fluctuation Region
• Analytical and numerical study of hardcore bosons in two dimensions
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• Role of anisotropy in the spin-dimer compound BaCuSi2O6
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