# Condensed Matter Seminar Series

## The Many-Body Problem and Resistance Quantization

### Karyn Le Hur

#### Yale University

##### MONDAY May 9, 11:00 am, Room ??, Physics Building

Abstract:
Mesoscopic Circuits witness marked non-local effects in their transport
properties because of electron coherence. One important consequence is
the quantization of the maximum of the DC conductance in one dimension.
Here, we extend the concept of universal quantized resistance to the AC
regime and we make a connection with the many-body quantum physics of
low-energy models. In particular, we introduce and discuss the results
for the quantum RC circuit [1]. For large cavities, we relate the
charge relaxation resistance and the Korringa-Shiba relation of the
Kondo model. We introduce a larger class of models with a universal
charge relaxation resistance. Finally, in the context of the Anderson
model, we show that the mesoscopic charge relaxation can exhibit a
giant magneto-resistance when applying a magnetic field.

[1] Christophe Mora and Karyn Le Hur, Nature Physics 6, 697 (2010).

*Host: Harold Baranger*