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

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

The exchange interaction is investigated theoretically for electrons confined to a 2-D sample placed in a linearly varying magnetic field perpendicular to the plane. Unusual and interesting behavior is predicted: starting from zero, as one adds electrons to the system, its size will increase continuously but will then collapse. However …