Work

Backflow in a Fermi Liquid

Year: 1997
Type: article
Abstract: We calculate the backflow current around a fixed impurity in a Fermi liquid. The leading contribution at long distances is radial and proportional to ${1/r}^{2}$. It is caused by the current induced density modulation first discussed by Landauer [IBM J. Res. Dev. 1, 223 (1957)]. The familiar ${1/r}^{3}$ dipolar backflow obtained in linear response is only the next-to-leading term, whose strength is calculated here to all orders in the scattering. In the charged case the condition of perfect screening gives rise to a novel sum rule for the phase shifts. Similar to the behavior in a classical viscous liquid, the friction force is due only to the leading contribution in the backflow while the dipolar term does not contribute.
Author: W. Zwerger
Language: English
Open Access status: green
OpenAlex ID: W2029970136
FWCI: 3.061
Cites: 11
Cited by: 19
Related to: 10