# Materials Research Laboratory

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## Condensed Matter Seminar: "Hall diffusion anomaly and transverse Einstein relation"

Event Type
Seminar/Symposium
Physics - Condensed Matter
Location
190 ESB
Date
Mar 13, 2020   1:00 pm
Speaker
Giovanni Vignale, University of Missouri
Views
6
Originating Calendar
Physics - Condensed Matter Seminar

It is commonly believed that the current response of an electron fluid to a mechanical force (such as an electric field) or to a “statistical force” (e.g., a gradient of chemical potential) are governed by a single linear transport coefficient - the electrical conductivity.  We argue that this is not necessarily the case in anomalous Hall materials.

In particular, we find that transverse (Hall) currents manifest two distinct Hall responses governed by an unconventional {\it transverse} Einstein relation that captures an anomalous relation between the Hall conductivity and the Hall diffusion constant.

We give examples of when the Hall diffusion anomaly is prominent, resulting in situations where the transverse diffusion process overwhelms the Hall conductivity and vice versa.