Collective excitations of composite fermions across multiple levels

Dwipesh Majumder, Sudhansu S. Mandal, Jainendra K. Jain

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


The fractional quantum Hall state is a quintessential system for the study of collective quantum behaviour. In such a system, the collective behaviour results in the creation of so-called composite fermions, quasi-particles formed by electrons attached to magnetic flux quanta. Recently, a new collective mode was unexpectedly observed in Raman scattering experiments on such a system as it was found to split off from the familiar fundamental long-wavelength mode on increase of the wave vector. Here, we present results from extensive theoretical calculations that make a compelling case that this mode corresponds to an excitation of a composite fermion across two levelseffective kinetic energy levels resembling Landau levels for such particles. In addition to explaining why this excitation merges with the fundamental mode in the long-wavelength limit, our theory also provides a good quantitative account of the amount of splitting, and makes several experimentally verifiable predictions.

Original languageEnglish (US)
Pages (from-to)403-406
Number of pages4
JournalNature Physics
Issue number6
StatePublished - Jun 2009

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)


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