Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2006-07-12
Phys. Rev. B 76, 134514 (2007)
Physics
Condensed Matter
Strongly Correlated Electrons
New and vastly expanded version of the original letter; 31 pages, 8 sections, 2 appendices, 19 figures, 86 references, new abs
Scientific paper
10.1103/PhysRevB.76.134514
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.
Fradkin Eduardo
Luijten Erik
Papanikolaou Stefanos
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