Effect of Umklapp Scattering on the Conductance in Quantum Wires
Satoshi Fujimoto (Department of Physics, Kyoto University), Norio, Kawakami (Department of Applied Physics, and Department of Material, Life, Science, Osaka University)
TL;DR
This paper studies how Umklapp scattering affects conductance in one-dimensional electron systems, highlighting the roles of system size, temperature, and electron interactions in conductance corrections.
Contribution
It provides a perturbative estimation of conductance correction due to Umklapp scattering, incorporating electron-electron interaction effects and the Tomonaga-Luttinger liquid parameter.
Findings
Conductance correction depends on system size and temperature.
Umklapp scattering causes measurable deviations from quantized conductance.
Electron-electron interactions influence conductance via the Tomonaga-Luttinger parameter.
Abstract
We investigate the system-size dependence as well as the temperature dependence of the conductance in 1D electron systems, paying particular attention to the effect of Umklapp scattering. By taking into account the renormalization of the external potential due to electron-electron interaction, the correction to the conductance, 2e^2/h, due to Umklapp scattering is estimated perturbatively. The Tomonaga-Luttinger liquid parameter appears in the conductance via the system-size and temperature dependence.
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