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The geometric phase (Berry phase) of an electronic wave function is thefundamental basis of the topological properties in solids. Modulating bandstructure provides a tuning knob for the Berry phase, and in the extreme casedrives a topological phase transition. Despite the significant developments intopological materials study, it remains a challenge to tune between differenttopological phases while tracing the impact of the Berry phase on quantumcharge transport, in the same material. Here we report both in amagnetotransport study of ZrTe5. By tuning the band structure with uniaxialstrain, we directly map a weak- to strong- topological phase transition througha gapless Dirac semimetal phase via quantum oscillations. Moreover, wedemonstrate the impact of the strain-tunable spin-dependent Berry phase on theZeeman effect through the amplitude of the quantum oscillations. We show thatsuch a spin-dependent Berry phase, largely neglected in solid-state systems, iscritical in modeling quantum oscillations in Dirac bands in topologicalmaterials.

Strain-tuned topological phase transition and unconventional Zeeman effect in ZrTe5 microcrystals