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

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

1993-08-05

arxiv.org/abs/cond-mat/9308007v1

Phys.Rev.B49:3423-3431,1994

Physics

Condensed Matter

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

Scientific paper

10.1103/PhysRevB.49.3423

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.

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