Doping quantum dimer models on the square lattice

Abstract

A family of models is proposed to describe the motion of holes in a fluctuating quantum dimer background on the square lattice. Following Castelnovo et al. [Ann. Phys. (NY) 318, 316 (2005)], a generalized Rokhsar-Kivelson Hamiltonian at **finite doping** which can be mapped on a **doped** interacting classical dimer model is constructed. A simple physical extension of this model is also considered. Using numerical computations and simple considerations based on the above exact mapping, we determine the phase diagram of the model showing a number of quantum phases typical of a doped Mott insulator. The two-hole correlation function generically exhibits short-range or long-range algebraic correlations in the solid (columnar) and liquid (critical) phases of the model, respectively. Evidence for an extended region of a doped VBS phase exhibiting holon pairing but **no** phase separation is given. In contrast, we show that hole deconfinement occurs in the staggered dimer phase.

5 pages

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• Generalized Hardcore Dimer Models approach to low-energy Heisenberg frustrated antiferromagnets: general properties and application to the kagome antiferromagnet
• A Generalized Quantum Dimer Model Applied to the Frustrated Heisenberg Model on the Square Lattice: Emergence of a Mixed Columnar-Plaquette Phase
• Finite-Volume Energy Spectrum, Fractionalized Strings, and Low-Energy Effective Field Theory for the Quantum Dimer Model on the Square Lattice
• Dynamical dimer correlations at bipartite and non-bipartite Rokhsar-Kivelson points
• Properties of holons in the Quantum Dimer Model
• Exact solution of a two-species quantum dimer model for pseudogap metals
• Statistical transmutation in doped quantum dimer models
• Phase separation and flux quantization in the doped quantum dimer model on the square and triangular lattices
• Statistics of holes and nature of superfluid phases in Quantum dimer models
• Magnetic field-induced transition in a quantum magnet described by the Quantum Dimer Model
• Criticality of a classical dimer model on the triangular lattice
• Single hole and vortex excitations in the doped Rokhsar-Kivelson quantum dimer model on the triangular lattice