Flat bands with non-trivial topology in three dimensions

Details Flat bands with non-trivial topology in three dimensions Flat bands with non-trivial topology in three dimensions

2011-11-06

arxiv.org/abs/1111.1447v2

Phys. Rev. B 85, 041104(R) (2012)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 3 figures; references updated, minor changes to improve clarity of text, version to appear in PRB/RC

Scientific paper

10.1103/PhysRevB.85.041104

We construct a simple model for electrons in a three-dimensional crystal where a combination of short-range hopping and spin-orbit coupling results in nearly flat bands characterized by a non-trivial Z2 topological index. The flat band is separated from other bands by a bandgap much larger than the bandwidth. We discuss the fate of the many-body ground state of electrons in the flat band in the presence of repulsive interactions at partial filling and conjecture that it may become a three-dimensional fractional topological insulator if conventional magnetic instabilities can be avoided.

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