Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2003-11-26
Supercond.Sci.Technol. 1 (1988) 36
Physics
Condensed Matter
Strongly Correlated Electrons
reproduced for reader's convenience. one of key references in cond-mat/0311467. Reprint at http://www.physics.hku.hk/~fczhang
Scientific paper
The effective Hamiltonian of strongly correlated electrons on a square lattice is replaced by a renormalised Hamiltonian and the factors that renormalise the kinetic energy of holes and the Heisenberg spin-spin coupling are calculated using a Gutzwiller approximation scheme. The accuracy of this renormalisation procedure is tested numerically and found to be qualitatively excellent. Within the scheme a resonant valence bond (RVB) wavefunction is found at half-filling to be lower in energy than the antiferromagnetic state. If the wavefunction is expressed in fermion operators, local SU(2) and U(l) invariance leads to a redundancy in the representation. The introduction of holes removes these local invariances and we find that a d-wave RVB state is lowest in energy. This state has a superconducting order parameter whose amplitude is linear in the density of holes.
Gros Claudius
Rice Maurice T.
Shiba Hiroyuki
Zhang Fu Chun
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