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We analyze the electron dynamics in corrugated layers of transition-metaldichalcogenides. Due to the strong spin-orbit coupling, the intrinsic(Gaussian) curvature leads to an emergent gauge field associated with the Berryconnection of the spinor wave function. We discuss the gauge field created bytopological defects of the lattice, namely, tetragonal/octogonal disclinationsand edge dislocations. Ripples and topological disorder induce the samedephasing effects as a random magnetic field, suppressing the weak localizationeffects. This geometric magnetic field can be detected in a Aharonov-Bohminterferometry experiment by measuring the local density of states in thevicinity of corrugations.

Emergent gauge fields from curvature in single layers of transition-metal dichalcogenides