Geometric Frustration and Dimensional Reduction at a Quantum Critical Point

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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5 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.98.257201

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)].

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