On the Locality of Physics in Metals, Semiconductors, and Insulators

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We present an analytical study of the spatial decay rate $γ$ of the one-particle density matrix $ρ(\vec r,\vec r')\sim\exp(-γ|\vec r-\vec r'|)$ for systems described by single particle orbitals in periodic potentials in arbitrary dimensions. This decay reflects electronic locality in condensed matter systems and is also crucial for O(N) density functional methods. We find that $γ$ behaves contrary to the conventional wisdom that generically $γ\propto\sqrtΔ$ in insulators and $γ\propto\sqrt{T}$ in metals, where $Δ$ is the direct band gap and $T$ the temperature. Rather, in semiconductors $γ\proptoΔ$, and in metals at low temperature $γ\propto T$.
Will appear in March 8th 1999 issue of Physical Review Letters

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Materials Science

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http://salesiana.dossiersoluciones.com/handle/123456789/28271

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/9805147
 http://arxiv.org/abs/cond-mat/9805147
 Physical Review Letters, Vol 82, issue 10

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arXiv