New Resonances Along with Cyclotron Resonance in Heterostructures

The usual cyclotron resonance occurs at \omega_c=eB/mc which is independent of spin. The new resonances depend on spin. The new resonances occur at \omega_{c\pm}=(1/2)g_{\pm}eB/mc where (1/2)g_{\pm}= {\it l}+(1/2)\pm s/(2{\it 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 \omega_{c\pm} are linearly proportional to the magnetic field except near crossing point where the linear combination of wave functions must be made.