Conductance of a quantum wire: Landauer's approach versus Kubo formula
Ines Safi
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, and the conductance is not renormalized by the interactions. Either Landauer's approach or 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.
Create a lesson
Related papers
SrMn2Ge2: A metallic system with anomalous magnetotransport properties
A. van der Spuy, R. Warmbier, A. M. Strydom et al.
Hidden Triakontadipole Order in the Triangular-Lattice Magnet CeMgAl11O19
Yu-Bo Liu, Yuan Gao, Zhen Ma et al.
Closed- and open-system characterization of the Yukawa-SYK model in real time
Alex Windey, Christian H. Johansen, Philipp Hauke et al.
Small-data physics-informed ML model for magnetic exchange based on chemical composition and structure
Brice Kengni Zanguim, Thibaut Véry, Marie-Bernadette Lepetit
Thermodynamic Evidence for Multiple Field-Induced Phases in an Anisotropic Kagome Antiferromagnet
M. Schuchard, Q. Barthélemy, C. Marcenat et al.
Spin-orbit-locked symmetry and the stability of the triangular Dirac spin liquid in the ytterbium delafossites
Yasir Iqbal