Effect of Umklapp Scattering on the Conductance in Quantum Wires
arXiv:cond-mat/9610220 · doi:10.1143/JPSJ.65.3700
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.
8 pages, style files included, to appear in J. Phys. Soc. Jpn
References in corpus (5)
- Landauer Conductance of Luttinger Liquids with Leads
- 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?
- Transport through Dirty Luttinger Liquids Connected to Reservoirs
Cited by in corpus (5)
- Quasi-particle description for the transport through a small interacting system
- Transport through a finite Hubbard chain connected to reservoirs
- Transport through a 1D Mott-Hubbard insulator of finite length
- Quantized Conductance of One-Dimensional Doped Mott Insulator
- Conductance of a Mott Quantum Wire