### Session Y26: General Theory / Computational Physics I

8:00 AM–11:00 AM, Friday, March 2, 2012
Room: 257B

Chair: Amy Bug, Swarthmore College

Abstract ID: BAPS.2012.MAR.Y26.8

### Abstract: Y26.00008 : Universal resistance quantum in multichannel transport and dissipative field theory

9:24 AM–9:36 AM

Preview Abstract MathJax On | Off   Abstract

#### Authors:

Prasenjit Dutt
(Yale University)

Thomas Schmidt
(Yale University, Basel University)

Karyn Le Hur
(Yale University, Ecole Polytechnique)

The Landauer formula for coherent DC transport lies at the heart of nanoelectronics and embodies a startling prediction: the quantization of the conductance in one-dimensional metallic wires for ballistic transport, in steps of $R_q^{-1}=e^2/h$ for each channel. Scattering proccesses undergone by the electrons cause a deviation from this result. The resistance then depends on the transparency of the channel and assumes a nonuniversal value. Recently, the unit of resistance $R_q$ has been shown to be a universal feature for AC transport through a single-channel quantum RC circuit with a large cavity. This result can be understood by mapping the system to the one-channel Kondo model and the emergent low-energy Fermi-liquid theory. In a different context $R_q$ arises in a certain nonequilibrium setting for the multichannel quantum RC circuit. In this work, we study AC transport in the many-channel quantum RC circuit. Under certain well-defined conditions the charge relaxation resistance remains universal and equals $R_q$. We study the emergence of this universal resistance in the multi-channel limit by using the mapping with a dissipative particle on a ring and making an analogy with the Kondo model.

To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2012.MAR.Y26.8