Quantum phase transitions and dimensional reduction in antiferromagnets with inter-layer frustration

Abstract

For magnets with a fully frustrated inter-layer interaction, we argue that the quantum phase transitions from a paramagnetic to an antiferromagnetic ground state, driven by pressure or magnetic field, are asymptotically three-dimensional, due to interaction-generated non-frustrated inter-layer couplings. However, the relevant crossover scale is tiny, such that two-dimensional behavior occurs in an experimentally relevant low-temperature regime. In the pressure-driven case the phase transition may split, in which case an Ising symmetry related to inter-layer bond order is broken before magnetism occurs. We discuss the relation of our results to recent experiments on BaCuSi2O6.

4 pages, 3 figs; (v2) final version as published

References in corpus (12)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Magnetic Field-Induced Condensation of Triplons in Han Purple Pigment BaCuSi${}_2$O${}_6$
• Dimensional reduction at a quantum critical point
• Two-dimensional fluctuations at the quantum-critical point of CeCu_{6-x}Au_x
• Order-Disorder Transition in a Two-Layer Quantum Antiferromagnet
• Magnon Dispersion in the Field-Induced Magnetically Ordered Phase of TlCuCl3
• Novel approach to description of spin liquid phases in low-dimensional quantum antiferromagnets
• Bound states of magnons in the S=1/2 quantum spin ladder
• Multiple Magnon Modes and Consequences for the Bose-Einstein Condensed Phase in BaCuSi2O6
• Geometric Frustration and Dimensional Reduction at a Quantum Critical Point
• Low temperature structural phase transition and incommensurate lattice modulation in the spin gap compound BaCuSi2O6
• Can Frustration Preserve a Quasi-Two-Dimensional Spin Fluid?

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• Theory of the field-induced BEC in the frustrated spin-1/2 dimer compound BaCuSi2O6
• Nuclear Magnetic Resonance in High Magnetic Field: Application to Condensed Matter Physics
• Reduced dimensionality in layered quantum dimer magnets: Frustration vs. inhomogeneous condensates
• Spatially Resolved Magnetization in the Bose-Einstein Condensed State of BaCuSi2O6: Evidence for Imperfect Frustration
• Dimensional reduction in quantum spin-1/2 system on a 1/7-depleted triangular lattice
• Two types of adjacent dimer layers in the low temperature phase of BaCuSi2O6
• Multiple Magnetic Bilayers and Unconventional Criticality without Frustration in BaCuSi${}_2$O${}_6$
• Theory of Magnetic Field-Induced Bose-Einstein Condensation of Triplons in Ba3Cr2O8
• Condensate-free superfluidity induced by frustrated proximity effect
• Crossover Behavior from Decoupled Criticality
• Finite-Temperature Transition in the Spin-Dimer Antiferromagnet BaCuSi2O6
• Crystal growth with oxygen partial pressure of the $BaCuS{i}_2{O}_6$ and $B{a}_{1-x}S{r}_{x}CuS{i}_2{O}_6$ spin dimer compounds
• Atacamite Cu${}_2$Cl(OH)${}_3$ in High Magnetic Fields: Quantum Criticality and Dimensional Reduction of a Sawtooth-Chain Compound
• Investigating field-induced magnetic order in Han Purple by neutron scattering up to 25.9 T
• Emergent critical phenomenon in spin-1/2 ferromagnetic-leg ladders: Quasi-one-dimensional Bose--Einstein condensate