Atwal, G. S., Ashcroft, N. W. (2002) Relaxation of an electron system: Conserving approximation. Physical Review B, 65. p. 115109.
Abstract
The dynamic response of an interacting electron system is determined by an extension of the relaxation-time approximation forced to obey local conservation laws for number, momentum and energy. A consequence of these imposed constraints is that the local electron equilibrium distribution must have a space- and time-dependent chemical potential, drift velocity and temperature. Both quantum kinetic and semi-classical arguments are given, and we calculate and analyze the corresponding analytical d-dimensional dielectric function. Dynamical correlation, arising from relaxation effects, is shown to soften the plasmon dispersion of both two- and three-dimensional systems. Finally, we consider the consequences for a hydrodynamic theory of a d-dimensional interacting electron gas, and by incorporating the competition between relaxation and inertial effects we derive generalised hydrodynamic equations applicable to arbitrary frequencies.
| Item Type: | Paper |
|---|---|
| Uncontrolled Keywords: | Strongly Correlated Electrons |
| Subjects: | physics |
| CSHL Authors: | |
| Communities: | CSHL labs > Atwal lab |
| Depositing User: | Matt Covey |
| Date: | 2002 |
| Date Deposited: | 09 Jan 2014 15:13 |
| Last Modified: | 19 Dec 2016 21:02 |
| Related URLs: | |
| URI: | https://repository.cshl.edu/id/eprint/28664 |
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