Off-Diagonal Long-Range Order in Many-Electron Problem |
| J. Szeftel Laboratoire Léon Brillouin (CEA-CNRS), CE-Saclay 91191, Gif-sur-Yvette Cedex, France |
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| The interacting electron Hamiltonian H = HD+∑K,ζHK,ζ is considered in the Hilbert space spanned by Slater determinants of Bloch wave functions. HD 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 HK,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 HD+HK,ζ for every K and ζ value. The associated eigenvectors of H are shown to have off-diagonal long-range order. |
| DOI: 10.12693/APhysPolA.91.341 PACS numbers: 03.65.-w, 71.45.-d, 74.20.-z |