Is SmB6 a failed superconductor? Part III: Experimental Consequences

I will discuss how the idea of {\sl failed superconductivity} can be applied to the anomalous bulk properties of SmB$_{6}$, focusing on experimental consequences of this idea. While transport and ARPES measurements provide evidence of metallic surface states with an insulating bulk, specific heat, thermal/optical transport and quantum oscillations suggest the bulk {\sl hosts gapless neutral excitations.} We argue that these paradoxes can be understood as a result of a broken gauge invariance, restored at long distances by the macroscopic failure of the superconducting state. In particular, I shall discuss how the observation of a linear-in-field thermal conductivity[1] can be understood as the result of a skyrmion fluid within a failed superconductor[2,3,4], and provide various predictions for the low field physics and spectroscopy that can be used to test this idea. \\ \noindent [1] S. Sebastian et al, SCES 2016, Hangzhou. \\ \noindent [2] P. Coleman, E. Miranda and A. Tsvelik, Physica B: Cond. Matt., 186-188, 362 (1993). \\ \noindent [3] G. Baskaran, arXiv 1507.03477 \\ \noindent [4] O. Erten, P.-Y. Chang, P. Coleman, A. Tsvelik, preprint (2016)