New Resonances Along with Cyclotron Resonance in Heterostructures

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The usual cyclotron resonance occurs at ωc=eB/m*c which is independent of spin. The new resonances depend on spin. The new resonances occur at ωc±=(1/2)g±eB/m*c where (1/2)g±= l+(1/2)± s/(2 l+1). The energy in the centre of two new frequencies varies as the square root of the 2-dimensional electrons due to spin excess in the Gaussian model. The frequencies ωc± are linearly proportional to the magnetic field except near crossing point where the linear combination of wave functions must be made.