Edge and Bulk Currents in 2D Disordered Magnetic Systems

MATHEMATICAL PHYSICS SEMINAR
Topic:Edge and Bulk Currents in 2D Disordered Magnetic Systems
Speaker:Jeffrey Schenker
Affiliation:IAS
Date:Monday, February 20
Time/Room:2:00pm - 3:00pm/S-101

The integer quantum Hall effect (IQHE) entails a very precise quantization of the Hall conductance in a 2D sample at very low temperatures. Depending on whether the currents in the sample are ascribed to the bulk or the edge, two apparently different conductances $\sigma_B$ and $\sigma_E$ have been used to explain this effect. In this talk, the definition of the two conductances and a proof that $\sigma_B = \sigma_E$ will be discussed.