Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2004-09-27
Phys.Rev.B72:085116,2005
Physics
Condensed Matter
Strongly Correlated Electrons
24 pages, 16 figures
Scientific paper
10.1103/PhysRevB.72.085116
We apply a variational method devised for the nuclear many--body problem to the 1-dimensional Hubbard--model with nearest neighbor hopping and periodic boundary conditions. The test wave function consist for each state out of a single Hartree--Fock determinant mixing all the sites (or momenta) as well as the spin--projections of the electrons. Total spin and linear momentum are restored by projection methods before the variation. It is demonstrated that this approach reproduces the results of exact diagonalisations for half--filled N=12 and N=14 lattices not only for the energies and occupation numbers of the ground but also of the lowest excited states rather well. Furthermore, a system of 10 electrons in a N=12 lattice is investigated and, finally, a N=30 lattice is studied. In addition to energies and occupation numbers we present the spectral functions computed with the help of the symmetry--projected wave functions, too. Also here nice agreement with the exact results (where available) is reached.
Dahm Thomas
Margueron Jean
Müther Herbert
Schmid K. W.
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