The Rokhsar-Kivelson Model of Quantum Dimers as a Gas of Free Fermionic Strings

Abstract

The $2+1$-dimensional quantum dimer model on a square lattice, proposed by Rokhsar and Kivelson as a theory of layered superconductivity, is shown to be equivalent to a many-body theory of free, transversely oscillating strings obeying Fermi statistics. A Jordan-Wigner construction for string field operators is presented. Topological defects are shown to be linearly confined in pairs by dynamical strings. Exact upper and lower bounds are placed on the ground-state energy and the string tension. It is argued that the system is in a spin-fluid phase and that there is no gap in the excitation spectrum.

latex (figs. incl.), 22 pages, NBI-HE-93-36

References in corpus (1)

• Large N expansion for frustrated and doped quantum antiferromagnets

Cited by in corpus (6)

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• Algebraic Approach to Interacting Quantum Systems
• Phase diagram of the hexagonal lattice quantum dimer model: Order parameters, ground-state energy, and gaps
• Renormalization, duality, and phase transitions in two- and three-dimensional quantum dimer models
• Solving the quantum dimer and six vertex models one electric field line at a time
• The string model of the Cooper pair in the anisotropic superconductor