Conductance of a quantum wire: Landauer's approach versus the Kubo formula
Abstract
The transport in a pure one-dimensional quantum wire is investigated for any range of interactions. First, the wire is connected to measuring leads. The transmission of an incident electron is found to be perfect, i.e., the conductance is not renormalized by the interactions. Either Landauer's approach or the Kubo formula can be used as long as the reservoirs impose the boundary conditions. Second, the Kubo formula as a response to the local field is reconsidered in a generic Luttinger liquid: the ``intrinsic'' conductance thus obtained is determined by the same combination of interaction parameters as that which renormalizes the current.
- Publication:
-
Physical Review B
- Pub Date:
- March 1997
- DOI:
- 10.1103/PhysRevB.55.R7331
- arXiv:
- arXiv:cond-mat/9701027
- Bibcode:
- 1997PhRvB..55.7331S
- Keywords:
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- Condensed Matter - Strongly Correlated Electrons
- E-Print:
- 5 revtex pages