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Phys. Rev. B 58, 12704–12711 (1998)

Canonical purification of the density matrix in electronic-structure theory

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Adam H. R. Palser and David E. Manolopoulos
Physical and Theoretical Chemistry Laboratory, South Parks Road, Oxford OX1 3QZ, United Kingdom

Received 1 May 1998; revised 3 August 1998; published in the issue dated 15 November 1998

Two methods are suggested for performing ground-state electronic-structure calculations within the independent-electron approximation. Both methods involve the purification of a specified initial density matrix, which can be done either canonically (at a fixed electron count Ne) or grand canonically (at a fixed chemical potential μ). Linear system-size scaling is achieved either way, as we illustrate in example tight-binding calculations on carbon nanotubes.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.58.12704
DOI:
10.1103/PhysRevB.58.12704
PACS:
71.15.Fv, 71.24.+q