The Fractional Quantum Hall (FQH) effect has been predicted to occur in absence of magnetic fields and at high temperature in lattice systems that have flat bands with non-zero Chern number. We demonstrate that the presence of orbital degrees of freedom in frustrated lattice systems leads to a narrowing of topologically nontrivial bands. This robust effect does not rely on a fine-tuning of long-range hopping parameters as do other recent proposals to realize lattice FQH states and is directly relevant to a wide class of transition metal compounds.
Categories: cond-mat.str-el