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The magnetic insulator Gd2Sn2O7 is one of many geometrically frustratedmagnetic materials known to exhibit a nonzero muon spin polarization relaxationrate, $\lambda(T)$, down to the lowest temperature (T) studied. Such behaviouris typically interpreted as a significant level of persisting spin dynamics(PSD) of the host material. In the case of Gd2Sn2O7, such PSD comes as asurprise since magnetic specific heat measurements suggest conventional gappedmagnons, which would naively lead to an exponentially vanishing $\lambda(T)$ as$T \rightarrow 0$. In contrast to most materials that display PSD, the orderedphase of Gd2Sn2O7 is well characterized and both the nature and the magnitudeof the interactions have been inferred from the magnetic structure and thetemperature dependence of the magnetic specific heat. Based on thisunderstanding, the temperature dependence of the muon spin polarizationrelaxation through the scattering of spin waves (magnons) is calculated. Theresult explicitly shows that, despite the unusual extensive number of weaklydispersive (gapped)excitations characterizing Gd2Sn2O7, a remnant of the zeromodes of the parent frustrated pyrochlore Heisenberg antiferromagnet, thetemperature dependence of the calculated $\lambda(T)$ differs dramatically fromthe experimental one. Indeed, the calculation conforms to the naive expectationof an exponential collapse of $\lambda(T)$ at temperatures below ~ 0.7K. Thisresult, for the first time, illustrates crisply and quantitatively the paradoxthat presents itself with the pervasive occurrence of PSD in highly frustratedmagnetic systems as evinced by muon spin relaxation measurements.

Calculation of the Expected Zero Field Muon Relaxation Rate in the Geometrically Frustrated Rare Earth Pyrochlore Gd2Sn2O7 Antiferromagnet