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Emergence of inhomogeneous moments from spin liquid in the triangular-lattice Mott insulator<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>κ</mml:mi><mml:mtext>−</mml:mtext><mml:mo>(</mml:mo><mml:mi>ET</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi>Cu</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi>CN</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mn>3</mml:mn></mml:msub></mml:mrow></mml:math>
The static and dynamic local spin susceptibility of the organic Mott insulator $\ensuremath{\kappa}\text{\ensuremath{-}}(\mathrm{ET}{)}_{2}{\mathrm{Cu}}_{2}(\mathrm{CN}{)}_{3}$, a model material of the spin-1/2 triangular lattice, is studied by $^{13}\mathrm{C}$ NMR spectroscopy from room temperature down to $20\phantom{\rule{0.3em}{0ex}}\mathrm{mK}$. We observe an anomalous field-dependent spectral broadening with the continuous and bipolar shift distribution, appearing without the …