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Article Dans Une Revue Physical Review B: Condensed Matter and Materials Physics (1998-2015) Année : 2006

Doping quantum dimer models on the square lattice

Résumé

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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Dates et versions

hal-00018793 , version 1 (09-02-2006)
hal-00018793 , version 2 (18-03-2006)
hal-00018793 , version 3 (28-04-2006)

Identifiants

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Didier Poilblanc, Fabien Alet, Federico Becca, Arnaud Ralko, Fabien Trousselet, et al.. Doping quantum dimer models on the square lattice. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2006, 74 (1), pp.014437. ⟨10.1103/PhysRevB.74.014437⟩. ⟨hal-00018793v3⟩
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