Spin-Peierls ground states of the quantum dimer model: A finite-size study

Publisher Website
Google Scholar
Abstract
Exact diagonalization results on the quantum dimer Hamiltonian of Rokshar and Kivelson on lattice sizes up to 6×6 are presented. Correlation functions of a new order parameter characterizing the crystalline states of the model are calculated. All of the results are consistent with the existence of a direct transition between a columnar crystalline state and a staggered crystalline state with no intermediate spin-fluid state. However, the existence of a spin-fluid state over a small, but finite, range of parameters has not been definitively ruled out.