Voltage profile and four terminal resistance of an interacting quantum wire

Abstract

We investigate the behavior of the four-terminal resistance $R_{4pt}$ in a quantum wire described by a Luttinger liquid in two relevant situations: (i) in the presence of a single impurity within the wire and (ii) under the effect of asymmetries introduced by dirty voltage probes. In the first case, interactions leave a signature in a power law behavior of $R_{4pt}$ as a function of the voltage $V$ and the temperature $T$. In the second case interactions tend to mask the effect of the asymmetries. In both scenarios the occurrence of negative values of $R_{4pt}$ is explained in simple terms.

5 pages, 3 figures; added references, corrected typos, improved explanations

References in corpus (15)

• Luttinger Liquid Behavior in Carbon Nanotubes
• Landauer Conductance of Luttinger Liquids with Leads
• Effective low-energy theory for correlated carbon nanotubes
• Transport in an inhomogeneous interacting one--dimensional system
• Dynamics of Inhomogeneous Tomonaga-Luttinger Liquid Wire
• Is there a renormalization of the 1D conductance in Luttinger Liquid model?
• Junctions of three quantum wires and the dissipative Hofstadter model
• Four-point resistance of individual single-wall carbon nanotubes
• Junction of several weakly interacting quantum wires: a renormalization group study
• Nanoscopic Tunneling Contacts on Mesoscopic Multiprobe Conductors
• Transport properties of single channel quantum wires with an impurity: Influence of finite length and temperature on average current and noise
• Applying voltage sources to a Luttinger liquid with arbitrary transmission
• Junctions of three quantum wires for spin 1/2 electrons
• Renormalization group study of the conductances of interacting quantum wire systems with different geometries
• Pressure control of conducting channels in singlewall nanotube networks

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• Microwave graphs analogs for the voltage drop in three-terminal devices with orthogonal, unitary and symplectic symmetry
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