2002/04/11 by P. Wiegmann
Physics and Astronomy · #cond-mat.mes-hall #nlin.PS
published as Statistical Field Theories, pp. 337-349, A. Cappelli and G. Mussardo (eds.), 2002 Kluwer Academic Publishers · Based on the lecture given at ``Statistical Field Theory'', 18-23 June 2001, Como, Italy; 14 pages, 1 figure
arxiv created 2002/04/11 · arxiv updated 2009/11/30
The shape of an electronic droplet in the quantum Hall effect is sensitive to gradients of the magnetic field, even if they are placed outside the droplet. Magnetic impurities cause a fingering instability of the edge of the droplet, similar to the Saffman-Taylor fingering instability of an interface between two immiscible phases. We discuss the fingering instability and some algebraic aspects of the electronic states in a strong nonuniform field.