Study of Low Energy Spin Rotons in the Fractional Quantum Hall Effect

Details Study of Low Energy Spin Rotons in the Fractional Quantum Hall Effect Study of Low Energy Spin Rotons in the Fractional Quantum Hall Effect

2001-03-22

arxiv.org/abs/cond-mat/0103472v1

Phys. Rev. B, 63 (2001) 201310

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Postscript figures included. Accepted in Phys. Rev. B (Rapid Communication)

Scientific paper

10.1103/PhysRevB.63.201310

Motivated by the discovery of extremely low energy collective modes in the fractional quantum Hall effect (Kang, Pinczuk {\em et al.}), with energies below the Zeeman energy, we study theoretically the spin reversed excitations for fractional quantum Hall states at $\nu=2/5$ and 3/7 and find qualitatively different behavior than for $\nu=1/3$. We find that a low-energy, charge-neutral "spin roton," associated with spin reversed excitations that involve a change in the composite-fermion Landau level index, has energy in reasonable agreement with experiment.

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