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We report $^{125}$Te NMR measurements of the topological quantum materialZrTe$_5$. Spin-lattice relaxation results, well-explained by a theoreticalmodel of Dirac electron systems, reveal that the topological characteristic ofZrTe$_5$ is $T$-dependent, changing from weak topological insulator to strongtopological insulator as temperature increases. Electronic structurecalculations confirm this ordering, the reverse of what has been proposed. NMRresults demonstrate a gapless Dirac semimetal state occurring at a Lifshitztransition temperature, $T_c=85$ K in our crystals. We demonstrate that thechanges in NMR shift at $T_c$ also provide direct evidence of band inversionwhen the topological phase transition occurs.

Dirac electron behavior and NMR evidence for topological band inversion in ZrTe5