The embedding method beyond the single-channel case: Two-mode and Hubbard chains

Details The embedding method beyond the single-channel case: Two-mode and Hubbard chains The embedding method beyond the single-channel case: Two-mode and Hubbard chains

2009-09-28

arxiv.org/abs/0909.5048v1

Eur. Phys. J. B 75, 253-266 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

14 pages, 13 figures, submitted for publication

Scientific paper

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.

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