Bond-Moving and Variational Methods in Real-Space Renormalization

Tsung-han Lin, Jiengjun Hu, Fengyi Huang

E. R. Caianiello, M. Fusco Girard, M. Marinaro

Sergio Caracciolo A, Giorgio Parisi A, Nicolas Sourlas

Felix Lee, H. H. Chen, Fa Yueh Wu

Critical properties of the Ising model with nearest-neighbor, next-nearest-neighbor, and four-spin interactions on the square lattice are studied by a real-space renormalization-group method. The recurrence relations of the couplings are obtained by a bond-moving operation followed by an exact duality-decimation transformation. Both the ferromagnetic and the superantiferromagnetic phase transitions are considered.

Theodore W. Burkhardt, J. M. J. van Leeuwen

Eugene H. Kim, Germán Sierra, Daniel Duffy

We applied the recurrent variational approach to the two-leg Hubbard ladder. At half filling, our variational ansatz was a generalization of the resonating valence-bond state. At finite doping, hole pairs were allowed to move in the resonating valence-bond background. The results obtained by the recurrent variational approach were compared with results from density matrix renormalization group.