Abstract
We present an analytical study of the spatial decay rate of the one-particle density matrix 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 density functional methods. We find that behaves contrary to the conventional wisdom that generically in insulators and in metals, where is the direct band gap and is the temperature. Rather, in semiconductors , and in metals at low temperature .
- Received 15 April 1998
DOI:https://doi.org/10.1103/PhysRevLett.82.2127
©1999 American Physical Society