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Three-dimensional topological insulators and topological crystallineinsulators represent new quantum states of matter, which are predicted to haveinsulating bulk states and spin-momentum-locked gapless surface states.Experimentally, it has proven difficult to achieve the high bulk resistivitythat would allow surface states to dominate the transport properties over asubstantial temperature range. Here we report a series of indium-dopedPb$_{1-x}$Sn$_x$Te compounds that manifest huge bulk resistivities togetherwith strong evidence of topological surface states, based onthickness-dependent transport studies and magnetoresistance measurements. Forthese bulk-insulating materials, the surface states determine the resistivityfor temperatures approaching 30 K.

Surface-state-dominated transport in crystals of the topological crystalline insulator In-doped Pb$_{1-x}$Sn$_x$Te