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Possible topological nature of Kondo and mixed valence insulators has been arecent topic of interest in condensed matter physics. Attention has focused onSmB6, which has long been known to exhibit low temperature transport anomaly,whose origin is of independent interest. We argue that it is possible toresolve the topological nature of surface states by uniquely accessing thesurface electronic structure of the low temperature anomalous transport regimethrough combining state-of-the-art laser- and synchrotron-based angle-resolvedphotoemission spectroscopy (ARPES) with or without spin resolution. Acombination of low temperature and ultra-high resolution (laser) which islacking in previous ARPES studies of this compound is the key to resolve thepossible existence of topological surface state in SmB6. Here we outline anexperimental algorithm to systematically explore the topological versus trivialor mixed (topological and trivial surface state admixture as in the first 3D TIBi$_{1-x}$Sb$_x$) nature of the surface states in Kondo and mixed valenceinsulators. We conclude based on this methodology that the observed topology ofthe surface Fermi surface in our low temperature data considered within thelevel of current resolution is consistent with the theoretically predictedtopological picture, suggesting a topological origin of the dominant in-gapARPES signal in SmB6.}

An experimental algorithm for identifying the topological nature of Kondo and mixed valence insulators