Doping quantum dimer models on the square lattice

Didier Poilblanc, Fabien Alet, Federico Becca, Arnaud Ralko, Fabien Trousselet, and Frédéric Mila
Phys. Rev. B 74, 014437 – Published 26 July 2006

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. (N.Y.) 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 valence bond solid 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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  • Received 9 February 2006
  • Accepted 29 June 2006

DOI:https://doi.org/10.1103/PhysRevB.74.014437

©2006 American Physical Society

Authors & Affiliations

Didier Poilblanc1,2, Fabien Alet1, Federico Becca1,3, Arnaud Ralko2, Fabien Trousselet1, and Frédéric Mila2

  • 1Laboratoire de Physique Théorique, CNRS and Université de Toulouse, F-31062 Toulouse, France
  • 2Institute of Theoretical Physics, Ecole Polytechnique Fédérale de Lausanne, BSP 720, CH-1015 Lausanne, Switzerland
  • 3CNR-INFM Democritos National Simulation Centre and International School for Advanced Studies (SISSA), I-34014 Trieste, Italy

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Issue

Vol. 74, Iss. 1 — 1 July 2006

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