Low temperature specific heat characterization of the geometrically frustrated magnetic compound Yb$_{2}$Ti$_{2}$O$_{7}$

Yb$_{2}$Ti$_{2}$O$_{7}$ is a geometrically frustrated magnet that has been recently proposed as a quantum spin liquid (QSL) candidate. This would have an emergent U(1) gauge structure, supporting emergent quasiparticles and a continuum of gapless spin excitations, which would give rise to a cubic power law dependence of specific heat down to zero temperature.[L. Savary and L. Balents, Phys. Rev. B \textbf{87}, 205130 (2013)] Low temperature specific heat measurements have identified the presence of a sharp transition at 0.26 K.[K. A. Ross et al., Phys. Rev. B \textbf{84}, 174442 (2011)] We will present results quantifying the specific heat of a polycrystalline Yb$_{2}$Ti$_{2}$O$_{7}$ sample below the observed transition.