https://doi.org/10.1007/s100510050458
Universal conductance in quantum wires in the presence of Umklapp scattering*
1
Department of Physics, Theoretical Physics, University
of Oxford, 1 Keble Road, Oxford, OX1 3NP, UK
2
Department of Physics, Kyoto University, Kyoto 606, Japan
3
Department of Applied Physics,
Osaka University, Suita, Osaka 565, Japan
Corresponding author: a s.fujimoto1@physics.ox.ac.uk
Received:
5
February
1998
Revised:
16
March
1998
Accepted:
17
April
1998
Published online: 15 October 1998
The effects of Umklapp scattering on the zero-temperature conductance
in one-dimensional quantum wires are reexamined
by taking into account both
the screening of external potential and the non-uniform chemical
potential shift due to electron-electron interaction.
It is shown that in the case away from half-filling
the conductance is given by the universal value,
, even in the presence of Umklapp scattering,
owing to these renormalization effects of
external potential. The conclusion is in accordance with
the recent claim obtained for the system with
non-interacting leads being attached to a quantum wire.
PACS: 71.10.Pm – Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.) / 72.15.Nj – Collective modes (e.g., in one-dimensional conductors) / 72.10.Fk – Scattering by point defects, dislocations, surfaces, and other imperfections (including Kondo effect)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1998
