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Title:
Fractional Quantum Hall Effect on Singular Surfaces
Speaker:
Abstract:
Among the known universal characteristics of the fractional Quantum Hall Effect (FQHE), the gravitational anomaly is the hardest to observe and has never been experimentally detected. The reason is that it usually appears as a higher-order correction to transport in the FQHE, which is dominated by the Hall conductance. In this talk, we will present a framework where the gravitational anomaly dominates transport. We study the FQHE on surfaces with singular geometry and show show that, near the singularities, the electronic fluid gyrates with an intrinsic angular momentum that is quantized in units of the Planck constant and is proportional to the gravitational anomaly. Thus, the gravitational anomaly, which appears as a finite-size correction on smooth surfaces, dominates geometric transport on singular surfaces.
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