Quantum dimer model with extensive ground-state entropy on the kagome lattice

Abstract

We introduce a quantum dimer model on the kagome lattice with kinetic terms allowing from 3 to 6 dimers to resonate around hexagons. Unlike models studied previously, the different resonance loops appears with different signs (given by the parity of the number of dimers involved). These signs naturally appear when performing the lowest-order overlap expansion (Rokhsar and Kivelson 1988) of the Heisenberg model. We demonstrate that the quantum dimer model has an extensive zero-temperature entropy and has very short-range dimer-dimer correlations. We discuss the possible relevance of this new kind of quantum dimer liquid to the physics of the spin-1/2 Heisenberg model on the kagome lattice.

24 pages, 24 .eps figures, RevTex 4

References in corpus (7)

• Short-ranged RVB physics, quantum dimer models and Ising gauge theories
• Quantum dimer model on the kagome lattice: solvable dimer liquid and Ising gauge theory
• Ring exchange, the Bose metal, and bosonization in two dimensions
• The phase diagram of the hexagonal lattice quantum dimer model
• The "Square Kagome" Quantum Antiferromagnet and the Eight Vertex Model
• Green's function approach to the magnetic properties of the kagome antiferromagnet
• The quantum Heisenberg antiferromagnet on the Sierpinski Gasket: An exact diagonalization study

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