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Origin of strong scarring of wavefunctions in quantum wells in a tilted magnetic field

E. E. Narimanov·A. Douglas Stone
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Abstract

The anomalously strong scarring of wavefunctions found in numerical studies of quantum wells in a tilted magnetic field is shown to be due to special properties of the classical dynamics of this system. A certain subset of periodic orbits are identified which are nearly stable over a very large interval of variation of the classical dynamics; only this subset are found to exhibit strong scarring. Semiclassical arguments shed further light on why these orbits dominate the experimentally observed tunneling spectra.

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E. E. Narimanov, A. Douglas Stone. 1997-05-16. Origin of strong scarring of wavefunctions in quantum wells in a tilted magnetic field. https://doi.org/10.1103/physrevlett.80.49

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