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Gaku Eguchi:
"Two-carrier transport analysis - 50 years´ bottleneck lying on experiments, and its solution";
Vortrag: Seminarvortrag Stanford University, California, USA; 06.11.2018.

Magnetotransport is one of the easiest accessible probes in both electrical engineering and condensed matter physics. For experimental data analysis Drude theory is considered to be the standard model, and recent excitement of topologically non-trivial materials has brought up a number of fundamental questions undetachable from realistic experimental situation.
Novelty of such materials is the topologically protected electronic bands, but how to detect in transport - the question always folds us back to difficulties related to a large number of open parameters originating from a multicarrier contribution, presumed carrier types, and/or large numerical errors as much as 10^4 - 10^7%. The problem has already been recognized early in 1970s [1].
Recently, we have established a new phenomenological analysis scheme that eliminates pre-required assumption of carrier types and also reduces the errors as small as 10^-2 - 10^1%, thus making the analysis meaningful [2]. The scheme has in addition clarified precise meaning of charge neutrality, non-linear Hall resistance, and giant linear transverse magnetoresistance.
In this talk I explain how can we overcome the bottleneck of magnetotransport studies, and why the scheme is important for discussion of underlying physics. Based on them we further discuss meaning of transport in topologically non-trivial materials.