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

References in corpus (3)

• Dimensional reduction at a quantum critical point
• Multiple Magnon Modes and Consequences for the Bose-Einstein Condensed Phase in BaCuSi2O6
• Can Frustration Preserve a Quasi-Two-Dimensional Spin Fluid?

Cited by in corpus (9)

• Bose-Einstein Condensation in Magnetic Insulators
• Singlet-triplet dispersion reveals additional frustration in the triangular dimer compound Ba${}_3$Mn${}_2$O${}_8$
• Ordered magnetic phases of the frustrated spin-dimer compound Ba3Mn2O8
• Emergent Symmetry and Dimensional Reduction at a Quantum Critical Point
• Theory of the field-induced BEC in the frustrated spin-1/2 dimer compound BaCuSi2O6
• NMR evidence for a strong modulation of the Bose-Einstein Condensate in BaCuSi${}_2$O${}_6$
• Dimensional crossover in a spin liquid to helimagnet quantum phase transition
• Quantum phase transitions and dimensional reduction in antiferromagnets with inter-layer frustration
• Reduced dimensionality in layered quantum dimer magnets: Frustration vs. inhomogeneous condensates