One- and three-dimensional quantum phase transitions and anisotropy in Rb${}_2$Cu${}_2$Mo${}_3$O${}_{12}$

Abstract

Single crystal samples of the frustrated quasi one-dimensional quantum magnet Rb${}_2$Cu${}_2$Mo${}_3$O${}_{12}$ are investigated by magnetic, thermodynamic, and electron spin resonance (ESR) measurements. Quantum phase transitions between the gapped, magnetically ordered and fully saturated phases are observed. Surprisingly, the former has a distinctive three-dimensional character, while the latter is dominated by one-dimensional quantum spin fluctuations. The entire $H$-$T$ phase diagram is mapped out and found to be substantially anisotropic. In particular, the lower critical fields differ by over 50\% depending on the direction of applied field, while the upper ones are almost isotropic, as is the magnetization above saturation. The ESR spectra are strongly dependent on field orientation and point to a helical structure with a rigidly defined spin rotation plane.

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• Miniature capacitive Faraday force magnetometer for magnetization measurements at low temperatures and high magnetic fields
• Magnetic phase diagram of the linear quantum ferro-antiferromagnet Cs${}_2$Cu${}_2$Mo${}_3$O${}_{12}$
• Roles of easy-plane and easy-axis XXZ anisotropy and bond alternation on a frustrated ferromagnetic spin-$1/2$ chain
• Dielectric relaxation by quantum critical magnons
• Critical dielectric susceptibility at a magnetic BEC quantum critical point
• Crystalline topological defects within response theory
• Finite-temperature dynamics and the role of disorder in nearly critical Ni(Cl${}_{1-x}$Br${}_x$)${}_2$$\cdot$4SC(NH${}_2$)${}_2$