Effect of liquid–electron crystal phase transition on cyclotron resonance line position for electrons at helium surface

The shift in the cyclotron resonance frequency of surface electrons in helium is studied theoretically by taking into consideration the anharmonicity of their interaction with a liquid substrate. It is shown that in the strong magnetic field limit, the shift δω for the crystalline state of electrons is twice that for the gaseous state. This accounts for the kink observed earlier in the dependence of the shift δω on the square E⊥2 of the confining field, and allows us to associate this mechanism with the liquid–electron crystal phase transition.

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