Non-Abelian topological phases in an extended Hubbard model

Details Non-Abelian topological phases in an extended Hubbard model Non-Abelian topological phases in an extended Hubbard model

2003-09-04

arxiv.org/abs/cond-mat/0309120v2

Physics

Condensed Matter

Strongly Correlated Electrons

11 pages, 7 figures including 5 in colour

Scientific paper

We describe four closely related Hubbard-like models (models A, B, C and D) of particles that can hop on a 2D Kagome lattice interacting via Coulomb repulsion. The particles can be either bosons (models A and B) or (spinless) fermions (models C and D). Models A and C also include a ring exchange term. In all four cases we solve equations in the model parameters to arrive at an exactly soluble point whose ground state manifold is the extensively degenerate ``d-isotopy space'' $\bar{V}_d$, 0

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