The Decay Properties of the Finite Temperature Density Matrix in Metals
arXiv:cond-mat/9804013 · doi:10.1103/PhysRevB.58.3501
Abstract
Using ordinary Fourier analysis, the asymptotic decay behavior of the density matrix F(r,r') is derived for the case of a metal at a finite electronic temperature. An oscillatory behavior which is damped exponentially with increasing distance between r and r' is found. The decay rate is not only determined by the electronic temperature, but also by the Fermi energy. The theoretical predictions are confirmed by numerical simulations.
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