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.
Cite
@article{arxiv.cond-mat/0602256,
title = {Doping quantum dimer models on the square lattice},
author = {Didier Poilblanc and Fabien Alet and Federico Becca and Arnaud Ralko and Fabien Trousselet and Frederic Mila},
journal= {arXiv preprint arXiv:cond-mat/0602256},
year = {2009}
}
Comments
5 pages