Electron fractionalization and statistics of holons in doped quantum dimer models

Stefanos Papanikolaou, Erik Luijten, Eduardo Fradkin

Didier Poilblanc

I introduce a doped two-dimensional quantum dimer model describing a doped Mott insulator and retaining the original Fermi statistics of the electrons. This model shows a rich phase diagram including a d-wave hole-pair unconventional superconductor at small enough doping and a bosonic superfluid at large doping. The hole kinetic energy is shown to favor binding of topological defects to the bare fermionic holons turning them into bosons, in agreement with arguments based on resonating valence bond wave function. Results are discussed in the context of cuprate superconductors.

Bruce Normand, Zohar Nussinov

The one-band Hubbard model on the pyrochlore lattice contains an extended quantum spin-liquid phase formed from the manifold of singlet dimer coverings. We demonstrate that the massive and deconfined spinon excitations of this system have fermionic statistics. Holonic quasiparticles introduced by doping are also fermions and we explain this counterintuitive but general result.

Junhyun Lee, Steven White, Subir Sachdev A

Zhou Zou

Abstract We study a generalized t-J model for lightly doped Mott insulators. The fractional statistics of both spinons and holons are discussed in a U(1) gauge theory. We explicitly derive the Chern-Simons term in the chiral spin liquid. The effective theory of holons is that of a charged scalar field coupled to a U(1) gauge field with a Chern-Simons term. We derive from the microscopic model, using the canonical quantization method, the anyon Hamiltonian of Fetter, Hanna and Laughlin.

P. W. Leung, Kagan Yu