Quantum criticality, lines of fixed points, and phase separation in doped two-dimensional quantum dimer models
| dc.creator | Papanikolaou, Stefanos | |
| dc.creator | Luijten, Erik | |
| dc.creator | Fradkin, Eduardo | |
| dc.date | 2006-07-12 | |
| dc.date | 2007-10-24 | |
| dc.date.accessioned | 2026-07-07T08:38:09Z | |
| dc.date.available | 2026-07-07T08:38:09Z | |
| dc.description | We study phase diagrams of a class of doped quantum dimer models on the square lattice with ground-state wave functions whose amplitudes have the form of the Gibbs weights of a classical doped dimer model. In this dimer model, parallel neighboring dimers have attractive interactions, whereas neighboring holes either do not interact or have a repulsive interaction. We investigate the behavior of this system via analytic methods and by Monte Carlo simulations. At zero doping, we confirm the existence of a Kosterlitz-Thouless transition from a quantum critical phase to a columnar phase. At low hole densities we find a dimer-hole liquid phase and a columnar phase, separated by a phase boundary which is a line of critical points with varying exponents. We demonstrate that this line ends at a multicritical point where the transition becomes first order and the system phase separates. The first-order transition coexistence curve is shown to become unstable with respect to more complex inhomogeneous phases in the presence of direct hole-hole interactions. We also use a variational approach to determine the spectrum of low-lying density fluctuations in the dimer-hole fluid phase. | |
| dc.description | New and vastly expanded version of the original letter; 31 pages, 8 sections, 2 appendices, 19 figures, 86 references, new abstract. Final published version on Phys. Rev. B | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0607316 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0607316 | |
| dc.identifier | Phys. Rev. B 76, 134514 (2007) | |
| dc.identifier | doi:10.1103/PhysRevB.76.134514 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/140627 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.subject | Statistical Mechanics | |
| dc.title | Quantum criticality, lines of fixed points, and phase separation in doped two-dimensional quantum dimer models | |
| dc.type | text |