The evolution of Bernstein modes in quantum wires with increasing   deviation from parabolic confinement
  We investigate the evolution of the interaction of the magnetoplasmon resonance with the harmonics of the cyclotron resonance as the confinement of an electron gas in a quantum wire increasingly deviates from the parabolic case. The occurrence of the Bernstein modes is observed in a time-dependent Hartree model of a two-dimensional electron gas in a single quantum wire. 
Arne Brataas, Vidar Gudmundsson, A. G. Mal'shukov and K. A. Chao