The Barnett vs. Landau levels in the rotating two-dimensional electron gas

We investigate magnetization induced by mechanical rotation, known as the Barnett effect, in the two-dimensional electron gas. The energy eigenvalues of the rotating system (Barnett levels) are non-degenerate, thereby differ from Landau levels in the presence of a magnetic field. The magnetic response caused by the coupling of the Barnett gauge field to both the electron spin and orbital degree of freedom is found to be paramagnetic. Surprisingly, rotation does not cause any charge redistribution, i.e. in the two-dimensional electron gas centrifugal forces are quantum mechanically suppressed.