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Chaos in a Quantum Dot with Spin-Orbit Coupling

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Abstract

Level statistics and nodal point distribution in a rectangular semiconductor quantum dot are studied for different degrees of spin-orbit coupling. The chaotic features occurring from the spin-orbit coupling have no classical counterpart. Using experimental values for GaSb/InAs/GaSb semiconductor quantum wells we find that level repulsion can lead to the semi-Poisson distribution for nearest level separations. Nodal lines and nodal points are also investigated. Comparison is made with nodal point distributions for fully chaotic states.

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Berggren, KF., Ouchterlony, T. Chaos in a Quantum Dot with Spin-Orbit Coupling. Foundations of Physics 31, 233–242 (2001). https://doi.org/10.1023/A:1017586402657

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