Instability induced by exchange forces in a 2D electron gas in a magnetic field with uniform gradient

  title={Instability induced by exchange forces in a 2D electron gas in a magnetic field with uniform gradient},
  author={Pervez Hoodbhoy},
  journal={Journal of Physics: Condensed Matter},
  • P. Hoodbhoy
  • Published 1 July 2020
  • Physics
  • Journal of Physics: Condensed Matter
The exchange interaction is investigated theoretically for electrons confined to a 2D sample placed in a linearly varying magnetic field perpendicular to the plane. Unusual and interesting behavior is predicted: starting from zero electrons, as one adds electrons to the system the maximum distance an electron can travel transverse to the B z = 0 line (i.e. the system’s width) increases continuously but this width will subsequently begin shrinking at some critical number. However this collapse… 



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  • Müller
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