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

References in corpus (3)

• Interacting classical dimers on the square lattice
• Cyclic exchange, isolated states and spinon deconfinement in an XXZ Heisenberg model on the checkerboard lattice
• Enhanced pairing in doped quantum magnets with frustrating hole motion

Cited by in corpus (8)

• Classical dimers with aligning interactions on the square lattice
• Quantum criticality, lines of fixed points, and phase separation in doped two-dimensional quantum dimer models
• Dynamical dimer correlations at bipartite and non-bipartite Rokhsar-Kivelson points
• Properties of holons in the Quantum Dimer Model
• Phase separation and flux quantization in the doped quantum dimer model on the square and triangular lattices
• 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