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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: Hauptvortrag

Montag, 11. März 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.