Abstract
The effect of a magnetic field on potential scattering is investigated microscopically. Analytic, exact renormalization-group, and numerical solutions show that the classical scattering dynamics of a charged particle is extremely complex. In one case, the dynamics is described by a discontinuous one-dimensional Hamiltonian map. Preliminary results indicate complex quantum dynamics as well. Consequences include an explanation of the observed breakdown of the quantum Hall effect at large currents and possible 1f noise.
| Original language | English |
|---|---|
| Pages (from-to) | 579-582 |
| Number of pages | 4 |
| Journal | Physical Review Letters |
| Volume | 62 |
| Issue number | 5 |
| DOIs | |
| State | Published - Jan 1 1989 |
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