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Magnetic‐Field‐Driven Transitions of Chaotic Dynamics in Quantum Cavities
Author(s) -
Takagaki Y.,
ElHassan M.,
Shailos A.,
Prasad C.,
Bird J.P.,
Ferry D.K.,
Ploog K.H.,
Lin L.H.,
Aoki N.,
Ochiai Y.
Publication year - 2001
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/1521-3951(200103)224:2<471::aid-pssb471>3.0.co;2-r
Subject(s) - magnetic field , physics , dwell time , chaotic , conductance , quantum , statistical physics , fractal , power law , condensed matter physics , field (mathematics) , ballistic conduction , quantum mechanics , electron , mathematics , medicine , clinical psychology , mathematical analysis , statistics , artificial intelligence , computer science , pure mathematics
Abstract The influence of a magnetic field on the classical dynamics in ballistic cavities is investigated by analyzing conductance fluctuations that result from quantum interference effects. The magnetic field transforms the exponential decay of the probability distributions of the dwell time and the enclosed area to a power‐law decay. The conductance fluctuations correspondingly exhibit a transition from a nonfractal to a fractal behavior. We also identify two additional states that take place when the magnetic field is weaker or stronger than that required to achieve the power‐law probability distributions.