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Recent experiments reported that the magnetic field can drive the Lifshitztransition and one-dimensional (1D) Weyl nodes in the quantum limit ofthree-dimensional pentatellurides, as they own low carrier densities and canachieve the extreme quantum limit at a low magnetic field. In this paper, wewill investigate the conditions for the existence of the 1D Weyl nodes andtheir dc transport properties. We find that in the strong topological insulator(TI) phase of ZrTe5, the formation of the Weyl nodes depends heavily on thecarrier density; while in the weak TI phase of HfTe5, the Weyl nodes are morelikely to appear. These behaviors are attributed to the fact that in the strongand weak TI phases, the zeroth Landau levels exhibit opposite evolutions withthe magnetic field. Moreover, the signatures of the critical fields thatcharacterize the distinct behaviors of the system can be directly captured inthe conductivities.

Magnetic field driven Lifshitz transition and one-dimensional Weyl nodes in three-dimensional pentatellurides