Many-Electron Systems with Constrained Current

D. S. Kosov; J. C. Greer

doi:10.1016/s0375-9601(01)00701-0

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Many-Electron Systems with Constrained Current

D. S. Kosov·J. C. Greer

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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.

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D. S. Kosov, J. C. Greer. 2001-05-18. Many-Electron Systems with Constrained Current. https://doi.org/10.1016/s0375-9601(01)00701-0

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