Low-energy spin rotons in the fractional quantum Hall effect

Motivated by the discovery of extremely low-energy collective modes in the fractional quantum Hall effect [Kang, Pinczuk et al., Phys. Rev. Lett. 84, 546 (2000)], with energies below the Zeeman energy, we study theoretically the spin-reversed excitations for fractional quantum Hall states at $\nu =2/5\mathrm{}$ and 3/7 and find qualitatively different behavior than for $\nu =1/3.\mathrm{}$ 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.