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Evidence for a dynamical ground state in the frustrated pyrohafnate <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>Tb</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi>Hf</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn>7</mml:mn></mml:msub></mml:mrow></mml:math>
We report the physical properties of ${\mathrm{Tb}}_{2}{\mathrm{Hf}}_{2}{\mathrm{O}}_{7}$ based on ac magnetic susceptibility ${\ensuremath{\chi}}_{\mathrm{ac}}(T)$, dc magnetic susceptibility $\ensuremath{\chi}(T)$, isothermal magnetization $M(H)$, and heat capacity ${C}_{\mathrm{p}}(T)$ measurements combined with muon spin relaxation ($\ensuremath{\mu}\mathrm{SR}$) and neutron powder diffraction measurements. No evidence for long-range magnetic order is found down to 0.1 K. However, ${\ensuremath{\chi}}_{\mathrm{ac}}(T)$ …