Mesoscopic Fluctuations of Conductance in Topological Crystalline Insulators*

Topological crystalline insulators (TCI) offer a path to topological states of matter with a distinct character compared to time-reversal invariant topological insulators. Recent work by our group [arxiv.org/abs/1710.06077] suggests the possibility of disorder-induced helical modes in Pb1-xSnxTe Josephson junctions. To further investigate these modes, we fabricate Pb1-xSnxTe devices to measure mesoscopic fluctuations of conductance. Reports of the universal conductance fluctuations and nonlocal conductance will be given as a function of Sn doping on either side of the topological phase transition known to exist at x~0.75.