Godby, R.W. orcid.org/0000-0002-1012-4176 and Bokes, P. (2004) Conductance and polarization in quantum junctions. Physical Review B. Art. No. 245420. ISSN 2469-9969
Abstract
We revisit the expression for the conductance of a general nanostructure -- such as a quantum point contact -- as obtained from the linear response theory. We show that the conductance represents the strength of the Drude singularity in the conductivity $\sigma(k,k';i\omega \to 0)$. Using the equation of continuity for electric charge we obtain a formula for conductance in terms of polarization of the system. This identification can be used for direct calculation of the conductance for systems of interest even at the {\it ab-initio} level. In particular, we show that one can evaluate the conductance from calculations for a finite system without the need for special ``transport'' boundary conditions.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2004 American Physical Society. This is an author produced version of a paper published in Physical Review B and uploaded in accordance with the publisher's self archiving policy. |
Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Physics (York) |
Depositing User: | Physics Import |
Date Deposited: | 19 Aug 2008 15:39 |
Last Modified: | 06 Jan 2025 00:05 |
Published Version: | https://doi.org/10.1103/PhysRevB.69.245420 |
Status: | Published |
Refereed: | Yes |
Identification Number: | 10.1103/PhysRevB.69.245420 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:4022 |