Collective Excitations at Filling Factor $5/2$: The View from Superspace

Collective Excitations at Filling Factor $5 / 2$ : The View from Superspace

Andrey Gromov, Emil J. Martinec, and Shinsei Ryu

Phys. Rev. Lett. 125, 077601 – Published 10 August 2020

Abstract

We present a microscopic theory of the neutral collective modes supported by the non-Abelian fractional quantum Hall states at filling factor $5 / 2$ . The theory is formulated in terms of the trial states describing the Girvin–MacDonald–Platzman mode and its fermionic counterpart. These modes are superpartners of each other in a concrete sense, which we elucidate.

Received 3 February 2020
Accepted 7 July 2020

DOI:https://doi.org/10.1103/PhysRevLett.125.077601

Physics Subject Headings (PhySH)

Fractional quantum Hall effect

Supersymmetry

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Andrey Gromov¹, Emil J. Martinec^2,3, and Shinsei Ryu^2,4

¹Brown Theoretical Physics Center and Department of Physics, Brown University, Providence, Rhode Island 02912, USA
²Kadanoff Center for Theoretical Physics, University of Chicago, Chicago, Illinois 60637, USA
³Enrico Fermi Institute, University of Chicago, Chicago, Illinois 60637, USA
⁴James Franck Institute, University of Chicago, Chicago, Illinois 60637, USA