Spin resonance in two dimensional electron systems confined to narrow channels

We consider the two dimensional electron gas confined laterally to a narrow channel As the Zeeman splitting matches the intersubband splitting due to the geometrical quantization the nonlocal spin polarization develops a minimum as reported by Frolov et al Nature London 458 868 2009 This phenomenon termed Ballistic Spin Resonance is due to the degeneracy between the nearest oppositely polarized subbands lifted by spin orbit coupling The resonance survives the weak and short range interaction The latter detunes it and as a result shifts the Zeeman splitting at which the minimum in spin polarization occurs The shift is attributed to the absence of Kohn theorem for the spin sloshing collective mode We characterized the shift due to weak interaction quantitatively by analyzing the spin sloshing mode phenomenologically