Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2007-03-01
Phys. Rev. B 75, 245418 (2007)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
13 pages, 4 figures
Scientific paper
10.1103/PhysRevB.75.245418
We consider the effect of electron-electron interaction on the electron transport through a finite length single-mode quantum wire with reflectionless contacts. The two-particle scattering events cannot alter the electric current and therefore we study the effect of three-particle collisions. Within the Boltzmann equation framework, we calculate corrections to the thermopower and conductance to the leading order in the interaction and in the length of wire $L$. We check explicitly that the three-particle collision rate is identically zero in the case of several integrable interaction potentials. In the general (non-integrable) case, we find a positive contribution to the thermopower to leading order in $L$. The processes giving rise to the correction involve electron states deep in the Fermi sea. Therefore the correction follows an activation law with the characteristic energy of the order of the Fermi energy for the electrons in the wire.
Flensberg Karsten
Glazman Leonid I.
Lunde Anders Mathias
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