Renormalization, duality, and phase transitions in two- and three-dimensional quantum dimer models
- Institut fuer Theoretische Physik, Freie Universitaet Berlin, Arnimallee 14, D-14195 Berlin (Germany)
- Physics Department, CB 1105, Washington University, 1 Brookings Drive, St. Louis, Missouri 63130-4899 (United States)
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 Rokhsar-Kivelson (RK) point has a critical point related to the self-dual point of a class of Z{sub N} models in the N{yields}{infinity} limit. Two phase transitions featuring a fixed line are shown to appear in the phase diagram, one at zero temperature and at the RK point and another one at finite temperature above the RK point. The latter will be shown to correspond to a Kosterlitz-Thouless (KT) phase transition, while the former will be governed by a KT-like universality class, i.e., sharing many features with a KT transition but actually corresponding to a different universality class. On the other hand, we show that at the RK point no phase transition happens at finite temperature. For the three-dimensional case we derive the corresponding dual gauge theory model at the RK point. 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.
- OSTI ID:
- 21287066
- Journal Information:
- Physical Review. B, Condensed Matter and Materials Physics, Vol. 80, Issue 10; Other Information: DOI: 10.1103/PhysRevB.80.104413; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1098-0121
- Country of Publication:
- United States
- Language:
- English
Similar Records
Extended quantum U(1)-liquid phase in a three-dimensional quantum dimer model
Effect of disorder on the superfluid transition in two-dimensional systems