Transient and Sharvin resistances of Luttinger liquids

Title

Transient and Sharvin resistances of Luttinger liquids

 Author

Kloss, Thomas (Université Grenoble Alpes)
Weston, J.B. (TU Delft QRD/Kouwenhoven Lab)
Waintal, Xavier (Université Grenoble Alpes)

Date

2018-04-23

 Abstract

Although the intrinsic conductance of an interacting one-dimensional system is renormalized by the electron-electron correlations, it has been known for some time that this renormalization is washed out by the presence of the (noninteracting) electrodes to which the wire is connected. Here, we study the transient conductance of such a wire: a finite voltage bias is suddenly applied across the wire and we measure the current before it has enough time to reach its stationary value. These calculations allow us to extract the Sharvin (contact) resistance of Luttinger and Fermi liquids. In particular, we find that a perfect junction between a Fermi liquid electrode and a Luttinger liquid electrode is characterized by a contact resistance that consists of half the quantum of conductance in series with half the intrinsic resistance of an infinite Luttinger liquid. These results were obtained using two different methods: a dynamical Hartree-Fock approach and a self-consistent Boltzmann approach. Although these methods are formally approximate, we find a perfect match with the exact results of Luttinger/Fermi liquid theory.


 To reference this document use:

http://resolver.tudelft.nl/uuid:9cb869af-bd6c-4a7e-a07a-34a73c55c9d5

 DOI

https://doi.org/10.1103/PhysRevB.97.165134

 ISSN

2469-9950

 Source

Physical Review B, 97 (16)

 Part of collection

Institutional Repository

 Document type

journal article

 Rights

© 2018 Thomas Kloss, J.B. Weston, Xavier Waintal
Files
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