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Article Dans Une Revue Physical Review B Année : 2006

Doping quantum dimer models on the square lattice

Résumé

A family of models is proposed to describe the motion of holes injected in a fluctuating quantum dimer background on the square lattice. Following Castelnovo et al. [Ann. Phys. (NY) {\bf 318}, 316 (2005)], a generalized Rokhsar-Kivelson Hamiltonian at finite doping which can be mapped on a doped interacting classical dimer model is constructed. More general models are also considered with arbitrary values of dimer-flip and hole hopping amplitudes, as well as dimer-dimer repulsion. Hole-hole correlations are investigated by Exact Diagonalization, Green's function and classical Monte Carlo methods. Upon increasing dimer repulsion, deconfinement abruptly appears in the staggered phase. In the generalized Rokhsar-Kivelson doped quantum dimer model derived here deconfinement occurs in the critical spin-liquid phase. We also conjecture the existence of two-hole bound states in some region of this deconfined 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

Citer

Didier Poilblanc, Fabien Alet, Federico Becca, Arnaud Ralko, Fabien Trousselet, et al.. Doping quantum dimer models on the square lattice. Physical Review B, 2006, 74, pp.014437. ⟨10.1103/PhysRevB.74.014437⟩. ⟨hal-00018793v1⟩

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