During low-temperature impact-ionization breakdown in extrinsic germanium, quasiperiodic current oscillations arise spontaneously. If the two competing frequencies (strictly speaking, the corresponding oscillatory components) can be localized in two spatially separated regions of the sample, mode locking can hardly be observed. However, if the two frequencies can be detected all over the sample, the frequency ratio undergoes an exemplary mode-locking sequence under variation of a transverse magnetic field. We find that the mode lockings are in accordance with the Farey-tree configuration, originally predicted to hold for periodically driven systems.
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Heinz et al. (1993) studied this question.
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