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Acoustic wave absorption as a probe of dynamical geometrical response of fractional quantum Hall liquids

Title: Acoustic wave absorption as a probe of dynamical geometrical response of fractional quantum Hall liquids.
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Name(s): Yang, Kun, author
Type of Resource: text
Genre: Text
Date Issued: 2016-04-15
Physical Form: computer
online resource
Extent: 1 online resource
Language(s): English
Abstract/Description: We show that an acoustic crystalline wave gives rise to an effect similar to that of a gravitational wave to an electron gas. Applying this idea to a two-dimensional electron gas in the fractional quantum Hall regime, this allows for experimental study of its intra-Landau level dynamical response in the long-wavelength limit. To study such response we generalize Haldane's geometrical description of fractional quantum Hall states to situations where the external metric is time dependent. We show that such time-dependent metric (generated by acoustic wave) couples to collective modes of the system, including a quadrapolar mode at long wavelength, and magnetoroton at finite wavelength. Energies of these modes can be revealed in spectroscopic measurements, controlled by strain-induced Fermi velocity anisotropy. We argue that such geometrical probe provides a potentially highly useful alternative probe of quantum Hall liquids, in addition to the usual electromagnetic response.
Identifier: FSU_libsubv1_wos_000374297500001 (IID), 10.1103/PhysRevB.93.161302 (DOI)
Keywords: collective excitations, magnetoroton minimum, phonon, states
Publication Note: The publisher’s version of record is available at http://www.dx.doi.org/10.1103/PhysRevB.93.161302
Persistent Link to This Record: http://purl.flvc.org/fsu/fd/FSU_libsubv1_wos_000374297500001
Owner Institution: FSU
Is Part Of: Physical Review B.
2469-9950
Issue: iss. 16, vol. 93

Choose the citation style.
Yang, K. (2016). Acoustic wave absorption as a probe of dynamical geometrical response of fractional quantum Hall liquids. Physical Review B. Retrieved from http://purl.flvc.org/fsu/fd/FSU_libsubv1_wos_000374297500001