Tilt-Induced Phase Transition in Dirac Systems

We study the effects of disorder on two-dimensional Dirac semimetals, characterized by linear band crossings and a vanishing density of states at the Dirac point. By analyzing conductivity scaling, we recover known results for an upright single Dirac node, while a pronounced jump in conductivity is observed at the critical tilt separating type-I and type-II regimes, indicating a qualitative change in transport behavior. For systems with two Dirac nodes, finite-size localization has been observed, but the β-function in the thermodynamic limit hints at a tilt-driven delocalization–localization transition.