Spin-Landau Orbit Coupling in Units of the Flux Quantum Observed from   Zeeman Splitting of a Quantum Wire Array
  In Zeeman spectra of a GaAs-AlGaAs quantum wire array with superlattice period lp, the zero-field shift is found to increase in steps of (2 pi hbar/ e)lp^{-2} at the cyclotron radius Rc ~lp, lp/2, and lp/3. This shift, caused by spin-Landau orbit coupling and quantized in units of the flux quantum 2 pi hbar /e,is a manifestation of the gauge invariance, and the first observation of the flux quantization in a non-superconducting material.The quantum interference associated with the phase difference in the quantum barrier scattering is also reported. 
J. C. Woo, W. S. Kim, H. S. Ko, Y. A. Leem, Y. S. Kim, D. S. Kim, M.   Y. Choi, D. H. Kim, and T. Schmiedel