Nonlinear Transport in a Quantum Point Contact due to Soft Disorder   Induced Coherent Mode Mixing
  We show that the coherent mixing of different transverse modes, due to forward scattering of carriers by soft impurity- or boundary potentials leads to a nonlinear, asymmetric current response of quantum point contacts (QPC). The oscillating contribution to the current is sensitive both to driving voltage and to gate voltage in direct analogy to the electrostatic Aharonov-Bohm effect.   Our calculations are in a good agreement with recent experimental data showing small-scale conductivity nonlinearities and asymmetry in QPC. 
A.M. Zagoskin and R.I. Shekhter