Columnar dimer and plaquette resonating valence bond states of the quantum dimer model
| dc.creator | Leung, P. W. | |
| dc.creator | Chiu, K. C. | |
| dc.creator | Runge, K. J. | |
| dc.date | 1996-05-29 | |
| dc.date.accessioned | 2026-07-07T03:08:35Z | |
| dc.date.available | 2026-07-07T03:08:35Z | |
| dc.description | We study the nature of the ground state of the quantum dimer model proposed by Rokhsar and Kivelson by diagonalizing the Hamiltonian of the model on square lattices of size $L\times L$, where $L\leq 8$, with periodic boundary conditions. Finite-size scaling studies of the columnar order parameter and the low lying excitation spectrum show no evidence of a dimer liquid state in any finite region of the zero temperature phase diagram. In addition, we find evidence of a transition from the columnar dimer state to an intermediate state at a negative value of $V/J$. This state is identified to be the plaquette resonating valence bond (RVB) state. The energy gap of this state vanishes as a power law of $L$. It exhibits columnar dimer order, but has disorder {\it within} the dimer columns. This state persists up to $V/J<1$, and the system changes to a dimer liquid state only at $V/J=1$. | |
| dc.description | RevTeX + 11 postscript figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9605179 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9605179 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/27551 | |
| dc.subject | Condensed Matter | |
| dc.title | Columnar dimer and plaquette resonating valence bond states of the quantum dimer model | |
| dc.type | text |