TY - JOUR
T1 - Approximations to the two-hole ground state of the Hubbard-Anderson model
T2 - a numerical test
AU - Elout, M.O.
AU - Traa, M.R.M.J.
AU - Caspers, W.J.
PY - 1995
Y1 - 1995
N2 - Several resonating-valence-bond-type states are being considered as an approximation of the two-hole ground state of the two-dimensional Hubbard-Anderson model. These states have been carefully constructed by Traa and Caspers with such algebraic properties, as to optimise different contributions of the Hubbard-Anderson hamiltonian. In this paper, the different contributions to their energies are calculated for lattices with sizes from 8 × 8 up to 16 × 16 and periodic boundary conditions, using a variational Monte-Carlo method. We show which state is lowest in energy and, more important, why this is so. In accordance with the optimal state from this tested set, we propose a bound state. It will be shown that this state is indeed the most stable state.
AB - Several resonating-valence-bond-type states are being considered as an approximation of the two-hole ground state of the two-dimensional Hubbard-Anderson model. These states have been carefully constructed by Traa and Caspers with such algebraic properties, as to optimise different contributions of the Hubbard-Anderson hamiltonian. In this paper, the different contributions to their energies are calculated for lattices with sizes from 8 × 8 up to 16 × 16 and periodic boundary conditions, using a variational Monte-Carlo method. We show which state is lowest in energy and, more important, why this is so. In accordance with the optimal state from this tested set, we propose a bound state. It will be shown that this state is indeed the most stable state.
U2 - 10.1016/0378-4371(94)00270-4
DO - 10.1016/0378-4371(94)00270-4
M3 - Article
VL - 215
SP - 152
EP - 169
JO - Physica A
JF - Physica A
SN - 0378-4371
IS - 215
ER -