We reduce the computational time of the quantum Monte Carlo diagonalization (QMCD) (in De Raedt and von der Linden, PRB 45:8787, 1992) calculation for 2-D strongly correlated systems by using several methods including symmetry operations. The ground state wavefunction is constructed from the elements of symmetric (bonding state) basis set. As a result, the total number of bases involved in the quantum Monte Carlo diagonalization calculation is reduced significantly by using symmetry operations.
Keyword
Quantum Monte Carlo diagonalization; 2-dimensional strongly correlated systems; Symmetry operations; Bi-partite lattice; Look-up table