The embedding method beyond the single-channel case
- First Online:
- Cite this article as:
- Freyn, A., Vasseur, G., Schmitteckert, P. et al. Eur. Phys. J. B (2010) 75: 253. 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.