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arxiv: 1207.3617 · v1 · pith:5CGHX4D6new · submitted 2012-07-16 · ❄️ cond-mat.mes-hall · physics.plasm-ph· quant-ph

Comment on "New Scaling of Child-Langmuir Law in the Quantum Regime"

classification ❄️ cond-mat.mes-hall physics.plasm-phquant-ph
keywords child-langmuirpotentialquantumbeenboundarycalculationschemicalcomment
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In their letter on the quantum Child-Langmuir law, Ang, Kwan and Lau (Phys. Rev. Lett. 91, 208303 (2003)) include exchange correlation effects within the Kohn-Sham density functional theory and explore numerically the maximum transmitted current in nanogaps. We show here that the calculations are in error as the exchange-correlation component of the chemical potential has been ignored while fixing the boundary conditions for the Hartree potential.

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