Revealing three-dimensional quantum criticality by Sr-substitution in Han Purple

Abstract

Classical and quantum phase transitions (QPTs), with their accompanying concepts of criticality and universality, are a cornerstone of statistical thermodynamics. An exemplary controlled QPT is the field-induced magnetic ordering of a gapped quantum magnet. Although numerous "quasi-one-dimensional" coupled spin-chain and -ladder materials are known whose ordering transition is three-dimensional (3D), quasi-2D systems are special for several physical reasons. Motivated by the ancient pigment Han Purple (BaCuSi${}_2$O${}_6$), a quasi-2D material displaying anomalous critical properties, we present a complete analysis of Ba${}_{0.9}$Sr${}_{0.1}$CuSi${}_2$O${}_6$. We measure the zero-field magnetic excitations by neutron spectroscopy and deduce the magnetic Hamiltonian. We probe the field-induced transition by combining magnetization, specific-heat, torque and magnetocalorimetric measurements with low-temperature nuclear magnetic resonance studies near the QPT. By a Bayesian statistical analysis and large-scale Quantum Monte Carlo simulations, we demonstrate unambiguously that observable 3D quantum critical scaling is restored by the structural simplification arising from light Sr-substitution in Han Purple.

arXiv comment19 pages, 5 figures

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Cited by in corpus (4)

• Proximate deconfined quantum critical point in SrCu2(BO3)2
• Extending MIEZE spectroscopy towards thermal wavelengths
• Investigating field-induced magnetic order in Han Purple by neutron scattering up to 25.9 T
• Critical Berezinskii-Kosterlitz-Thouless dynamics in the archetypal two-dimensional spin system Ba${}_2$CuSi${}_2$O${}_6$Cl${}_2$