1997/07/22 by A. A. Odintsov, Arkadi A. Odintsov, Yasuhiro Tokura +2 · 1 citation
Materials Science · Physics and Astronomy · #Organic and Molecular Conductors Research #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.56.r12729
8 pages, 2 Postscript figures
arxiv created 1997/07/22 · openalex publication_date 1997/11/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate the transport of interacting electrons through single-mode quantum wires whose parameters are periodically modulated on the scale of the electronic Fermi wave length. The Umklapp and backscattering of electrons can be described in terms of non-uniform quantum sine-Gordon-like models which also incorporate the effects of electronic reservoirs (electrodes) adiabatically coupled to the wire. We concentrate on weak Umklapp scattering and analyze the precursors of the Mott transition. At half-filling the temperature dependence of the extra resistance ΔR = R - πℏ/e2 of a modulated quantum wire of length L changes from the interaction-dependent "bulk" power-law ΔR ∝ T4Kρ-3 at high temperatures, T ≫ vρ/L, to the universal ΔR ∝ T2 behavior at low temperatures, T ≪ vρ/L. Away from half-filling the "bulk" results are qualitatively incorrect even at high temperatures vρ/L ≪ T ≪ T* despite the electron coherence in the wire is absent in this regime.