The Decay Properties of the Finite Temperature Density Matrix in Metals

Details The Decay Properties of the Finite Temperature Density Matrix in Metals The Decay Properties of the Finite Temperature Density Matrix in Metals

1998-04-02

arxiv.org/abs/cond-mat/9804013v1

Physics

Condensed Matter

Scientific paper

10.1103/PhysRevB.58.3501

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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