摘要

Dispersionless (flat) electronic bands are investigated regarding their conductance properties. Due to "caging" of carriers these bands are usually insulating at partial filling, at least on a noninteracting level. Considering the specific example of a T-3 lattice, we study long-range Coulomb interactions. A nontrivial dependence of the conductivity on flat-band filling is obtained, exhibiting an infinite number of zeros. Near these zeros, the conductivity rises linearly with carrier density. At densities halfway in between adjacent conductivity zeros, strongly enhanced conductivity is predicted, accompanying a solid-solid phase transition.

  • 出版日期2015-1-6