Chiral Gravitons in Fractional Quantum Hall Liquids

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Chiral Gravitons in Fractional Quantum Hall Liquids

Shiuan-Fan Liou, F. D. M. Haldane, Kun Yang, and E. H. Rezayi

Phys. Rev. Lett. 123, 146801 – Published 30 September 2019

Abstract

We elucidate the nature of neutral collective excitations of fractional quantum Hall liquids in the long-wavelength limit. We demonstrate that they are chiral gravitons carrying angular momentum $- 2$ , which are quanta of quantum motion of an internal metric, and show up as resonance peaks in the system’s response to what is the fractional Hall analog of gravitational waves. The relation with existing and possible future experimental work that can detect these fractional quantum Hall gravitons and reveal their chirality is discussed.

Received 6 May 2019

DOI:https://doi.org/10.1103/PhysRevLett.123.146801

Physics Subject Headings (PhySH)

Fractional quantum Hall effect Topological materials

Gravitons Two-dimensional electron system

Chiral symmetry

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Shiuan-Fan Liou¹, F. D. M. Haldane², Kun Yang¹, and E. H. Rezayi ^3,*

¹NHMFL and Department of Physics, Florida State University, Tallahassee, Florida 32306, USA
²Physics Department, Princeton University, Princeton, New Jersey 08544, USA
³Physics Department, California State University Los Angeles, Los Angeles, California 90032, USA