Regensburg 2013 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 18: Focused Session: Correlations in Topological Bands (jointly with DS, HL, MA, and O)
TT 18.2: Invited Talk
Monday, March 11, 2013, 15:30–16:00, H20
Fractional Topological Insulators — •Claudio Chamon1, Christopher Mudry2, Titus Neupert2, and Luiz Santos3 — 1Boston University — 2Paul Scherrer Institute — 3Perimeter Institute
The prediction and experimental discovery of topological band insulators and topological superconductors are recent examples of how topology can characterize phases of matter. In these examples, electronic interactions do not play a fundamental role. In this talk we shall discuss cases where interactions lead to new phases of matter of topological character. Specifically, we shall discuss fractional topological states in lattice models which occur when interacting electrons propagate on flattened Bloch bands with non-zero Chern number. Topologically ordered many-particle states can emerge when these bands are partially filled, including a possible realization of the fractional quantum Hall effect without external magnetic fields. We also discuss the importance of geometric band attributes to stabilize certain fractional states, highlighting the importance of geometry and not just topology for reaching fractional states of matter.