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Transport in a one-channel Luttinger liquid
Abstract
We study theoretically the transport of a one-channel Luttinger liquid through a weak link. For repulsive electron interactions, the electrons are completely reflected by even the smallest scatterer, leading to a truly insulating weak link, in striking contrast to that for noninteracting electrons. At finite temperature (T) the conductance is nonzero, and is predicted to vanish as a power of T. At T=0 power-law current-voltage characteristics are predicted. For attractive interactions, a Luttinger liquid is argued to be perfectly transmitted through even the largest of barriers. The role of Fermi-liquid leads is also explored.
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Cited by
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How to detect fluctuating stripes in the high-temperature superconductors
Kivelson, S. A., Bindloss, I. P., Fradkin, E., Oganesyan, V., Tranquada, J. M., Kapitulnik, A., & Howald, C. (2003) · Reviews of Modern Physics · doi:10.1103/revmodphys.75.1201 · Cited by 1,369
Edge conduction in monolayer WTe2
Fei, Z., Palomaki, T., Wu, S., Zhao, W., Cai, X., Sun, B., Nguyen, P., Finney, J., Xu, X., & Cobden, D. H. (2017) · Nature Physics · doi:10.1038/nphys4091 · Cited by 617
Chiral Luttinger liquids at the fractional quantum Hall edge
Chang, A. M. (2003) · Reviews of Modern Physics · doi:10.1103/revmodphys.75.1449 · Cited by 391
Unconventional Josephson Effect in Hybrid Superconductor-Topological Insulator Devices
Williams, J. R., Bestwick, A. J., Gallagher, P., Hong, S. S., Cui, Y., Bleich, A. S., Analytis, J. G., Fisher, I. R., & Goldhaber-Gordon, D. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.056803 · Cited by 379
Metadata
- Authors
- Kane, C. L., & Fisher, M. P. A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1992-02-24
- Volume
- 68
- Issue
- 8
- Pages
- 1220-1223
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2085262020
- Cited by
- 1,133
- References
- 0
- FWCI
- 26.23
- Type
- journal article
- Language
- en
- Open access
- closed
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- Kane, C. L., & Fisher, M. P. A. (1992). Transport in a one-channel Luttinger liquid. Physical Review Letters. https://doi.org/10.1103/physrevlett.68.1220
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
