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Conductance of a quantum wire Landauers

In` es Safi

2026enquantum wiresconductanceelectron interactionsLuttinger liquidLandauer approachKubo formula

Abstract

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The transport in a pure one-dimensional quantum wire is investigated for any range of interactions, focusing on its conductance characteristics. The objective of this study is to analyze the differences and applicability of Landauer’s approach and the Kubo formula when examining the conductance of quantum wires. Methodologically, the wire is connected to measurement leads, wherein the perfect transmission of incident electrons is highlighted, indicating that the conductance remains unrenormalized by interactions within the specified conditions. Additionally, the response of the Kubo formula in the context of a generic Luttinger liquid is explored, revealing how the intrinsic conductance obtained is specified by a particular set of interaction parameters. The results indicate that both theoretical approaches yield consistent predictions under the established boundary conditions imposed by the reservoirs. This study ultimately contributes to our understanding of quantum transport phenomena in these unique one-dimensional systems, providing significant insights into their electrical properties and the interplay between microscopic interactions and macroscopic observables.

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Cite This Work

@article{cdfd4ccd-d135-45f2-8160-dea3cea7aa03,
  title={Conductance of a quantum wire Landauers},
  author={In` es Safi},
  year={2026},
  language={en}
}
TY  - JOUR
TI  - Conductance of a quantum wire Landauers
AU  - In` es Safi
PY  - 2026
LA  - en
ER  -

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