Relaxation of an electron system: Conserving approximation

Atwal, G. S., Ashcroft, N. W. (2002) Relaxation of an electron system: Conserving approximation. Physical Review B, 65. p. 115109.

DOI: 10.1103/PhysRevB.65.115109


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
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