| Renormalization, duality, and phase transitions in two- and three-dimensional quantum dimer models (2008) | |||||||||
Abstract | |||||||||
| We derive an extended lattice gauge theory type action for quantum dimer models and relate it to the height representations of these systems. We examine the system in two and three dimensions and analyze the phase structure in terms of effective theories and duality arguments. For the two-dimensional case we derive the effective potential both at zero and finite temperature. The zero-temperature theory at the Rohksar-Kivelson (RK) point has a critical point related to the self-dual point of a class of Z_N models in the large N limit. For the three-dimensional case we derive the corresponding dual gauge theory model. We show in this case that at zero temperature a first-order phase transition occurs, while at finite temperatures both first- and second-order phase transitions are possible, depending on the relative values of the couplings involved.. Comment: 5 pages (minor changes, references added) | |||||||||
Details der Publikation | |||||||||
| |||||||||