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Gaku Eguchi, S. Paschen:
"How to resolve topologically non-trivial bands in transport";
Vortrag: From Solid State to BioPhysics IX: From Basic to Life Sciences, Dubrovnik, Kroatien; 16.06.2018 - 23.06.2018.

Topologically non-trivial insulators and semimetals attract tremendous attention both to advance the fundamental understanding of condensed matter and to pave the way for new applications. Its novelty is the topologically protected electronic bands, resulting in the linear band dispersion. Electric and spin transport are considered as the easiest accessible probes and are essentially understood with the Drude theory. Nevertheless, difficulties of the transport analysis, especially in the multicarrier case, have been recognized early in 1970s [1]. It typically results in errors as much as 104 - 107% because of the large number of open parameters [2].
Recently, we have established a new analysis scheme that strongly reduces the errors as small as 10-2 - 101% [2]. The scheme has also clarified the precise physical meaning of non-linear Hall resistance and magnetoresistance. Particularly, conditions exhibiting electron-dominant conduction with positive Hall slope have been revealed [2,3]. The results coincide with observed electronic states e.g. by angle resolved photoemission spectroscopy (ARPES).
In this presentation we explain details of the new scheme using examples, and discuss transport phenomena on the topologically non-trivial bands.