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Doping quantum dimer models on the square lattice

Didier Poilblanc·Fabien Alet·Federico Becca·Arnaud Ralko·Fabien Trousselet·Frederic Mila
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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.

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Didier Poilblanc, Fabien Alet, Federico Becca, Arnaud Ralko, Fabien Trousselet, Frederic Mila. 2006-04-28. Doping quantum dimer models on the square lattice. https://doi.org/10.1103/physrevb.74.014437

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