The embedding method beyond the single-channel case

A. Freyn, G. Vasseur, P. Schmitteckert, D. Weinmann, G.-L. Ingold, R. A. Jalabert und J.-L. Pichard

Eur. Phys. J. B 75, 253–266 (2010) DOI: doi:10.1140/epjb/e2010-00153-y

We investigate the relationship between persistent currents in multi-channel rings containing an embedded scatterer and the conductance through the same scatterer attached to leads. The case of two uncoupled channels corresponds to a Hubbard chain, for which the one-dimensional embedding method is readily generalized. Various tests are carried out to validate this new procedure, and the conductance of short one-dimensional Hubbard chains attached to perfect leads is computed for different system sizes and interaction strengths. In the case of two coupled channels the conductance can be obtained from a statistical analysis of the persistent current or by reducing the multi-channel scattering problem to several single-channel setups.