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In the quest for materials with unconventional quantum phases, the organictriangular-lattice antiferromagnet $\kappa$-(ET)$_2$Cu$_2$(CN)$_3$ has beenextensively discussed as a quantum spin liquid (QSL) candidate. Recently, anintriguing quantum critical behaviour was suggested from low-temperaturemagnetic torque experiments. Through microscopic analysis of all anisotropiccontributions, including Dzyaloshinskii-Moriya and multi-spin scalar chiralinteractions, we highlight significant deviations of the experimentalobservations from a quantum critical scenario. Instead, we show thatdisorder-induced spin defects provide a comprehensive explanation of thelow-temperature properties. These spins are attributed to valence bond defectsthat emerge spontaneously as the QSL enters a valence bond glass phase at lowtemperature. This theoretical treatment is applicable to a general class offrustrated magnetic systems and has important implications for theinterpretation of magnetic torque, nuclear magnetic resonance, thermaltransport and thermodynamic experiments.

Critical Spin Liquid versus Valence Bond Glass in Triangular Lattice Organic $\kappa$-(ET)$_2$Cu$_2$(CN)$_3$