Off-Diagonal Long-Range Order in Many-Electron Problem

• Authors: J. Szeftel
• Languages of publication: EN

Abstracts

EN

The interacting electron Hamiltonian H = H_{D}+∑_{K,ζ}H_{K,ζ} is considered in the Hilbert space spanned by Slater determinants of Bloch wave functions. H_{D} consists of the diagonal part of H in this basis. K and ζ=0, ±1 stand for the total momentum and projected spin of electron pairs and H_{K,ζ} is the off-diagonal part of H describing the most general two-electron scattering process conserving K and ζ. It is shown that the eigenspectrum of H includes all eigenvalues of H_{D}+H_{K,ζ} for every K and ζ value. The associated eigenvectors of H are shown to have off-diagonal long-range order.

Keywords

EN

03.65.-w; 74.20.-z; 71.45.-d

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 1997
• Volume: 91
• Issue: 2
• Pages: 341-345

Dates

published

1997-02

Contributors

author

J. Szeftel

• Laboratoire Léon Brillouin (CEA-CNRS), CE-Saclay 91191, Gif-sur-Yvette Cedex, France