Abstract
The excitation spectrum A(k) of the magnetoroton excitations of the fractional quantum Hall (FQH) state is believed to fall from a maximum A(0) at k = 0 to a minimum of value Δmin~0.5Δ(0) at k~1B -1(lB=magnetic length) and ultimately approaches A(∞)=0.67Δ(0) (Girvin et al, 1986). Experimental measurements of the excitation spectrum have previously been limited to transport and optical luminescence techniques. We have made initial phonon absorption studies of the FQHE which we believe give a direct measurement of the energy gap near to the magnetoroton minimum.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
S.M. Girvin, A.H. MacDonald, P.M. Platzman, Phys. Rev. B 33, 2481 (1986)
I.V. Kukushkin, N.J. Pulsford, K. von Klitzing, K. Ploog, R.J. Haug, S. Koch and V.B. Timofeev, Europhys. Lett. 18, 63 (1992)
A.H. Macdonald, K.L. Liu, S.M. Girvin and P.M. Platzman, Phys. Rev. B 33, 4014 (1986)
R.L. Willett, H.L. Stornier, D.C. Tsui, A.C. Gossard and J.H. English, Phys. Rev. B 37, 8476 (1988)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1994 Plenum Press, New York
About this chapter
Cite this chapter
Eyles, R.H. et al. (1994). Phonon Measurements of the Energy Gap in the Fractional Quantum Hall State. In: Paszkiewicz, T., Rapcewicz, K. (eds) Die Kunst of Phonons. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2455-7_19
Download citation
DOI: https://doi.org/10.1007/978-1-4615-2455-7_19
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-306-44677-1
Online ISBN: 978-1-4615-2455-7
eBook Packages: Springer Book Archive