Anomalous quantum chaotic behavior in nanoelectromechanical structures

Details Anomalous quantum chaotic behavior in nanoelectromechanical structures Anomalous quantum chaotic behavior in nanoelectromechanical structures

2005-08-11

arxiv.org/abs/cond-mat/0508285v1

J. Phys. A: Math. Gen. 38 (2005), L639-L645

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, pdf format

Scientific paper

10.1088/0305-4470/38/39/L03

It is predicted that for sufficiently strong electron-phonon coupling an anomalous quantum chaotic behavior develops in certain types of suspended electro-mechanical nanostructures, here comprised by a thin cylindrical quantum dot (billiard) on a suspended rectangular dielectric plate. The deformation potential and piezoelectric interactions are considered. As a result of the electron-phonon coupling between the two systems the spectral statistics of the electro-mechanic eigenenergies exhibit an anomalous behavior. If the center of the quantum dot is located at one of the symmetry axes of the rectangular plate, the energy level distributions correspond to the Gaussian Orthogonal Ensemble (GOE), otherwise they belong to the Gaussian Unitary Ensemble (GUE), even though the system is time-reversal invariant.

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