Many-Electron Systems with Constrained Current
Condensed Matter
2009-11-07 v1
Abstract
A formulation for transport in an inhomogeneous, interacting electron gas is described. Electronic current is induced by a constraint condition imposed as a vector Lagrange multiplier. Constrained minimization of the total energy functional on the manifold of an arbitrary constant current leads to a many-electron Schroedinger equation with a complex, momentum-dependent potential. Constant current Hartree-Fock and Kohn-Sham approximations are formulated within the method and application to transport for quantum wires is developed. No appeal is made to near equilibrium conditions or other approximations allowing development of a general ab initio electronic transport formulation.
Cite
@article{arxiv.cond-mat/0105367,
title = {Many-Electron Systems with Constrained Current},
author = {D. S. Kosov and J. C. Greer},
journal= {arXiv preprint arXiv:cond-mat/0105367},
year = {2009}
}