Magnetic-Field-Driven Transitions of Chaotic Dynamics in Quantum Cavities

• Published in: Physica status solidi. B. Basic research Vol. 224; no. 2; pp. 471 - 474
• Main Authors: Takagaki, Y., ElHassan, M., Shailos, A., Prasad, C., Bird, J.P., Ferry, D.K., Ploog, K.H., Lin, L.-H., Aoki, N., Ochiai, Y.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: Berlin WILEY-VCH Verlag Berlin GmbH 01.03.2001; WILEY‐VCH Verlag Berlin GmbH; Wiley
• Subjects: 73.21.-b; 73.23.Ad; 73.50.Jt; Condensed matter: electronic structure, electrical, magnetic, and optical properties; Electronic structure and electrical properties of surfaces, interfaces, thin films and low-dimensional structures; Electronic transport in interface structures; Exact sciences and technology; Iii-v semiconductor-to-semiconductor contacts, p-n junctions, and heterojunctions; Physics; Aluminium arsenides; Chaos; Fluctuations; Gallium arsenides; Semiconductor materials; Ternary compounds; Magnetic field effects; Binary compounds; Fractals; Experimental study; Quantum interference phenomena; Heterojunctions; Magnetoresistance; Quantum transport
• ISSN: 0370-1972; 1521-3951
• DOI: 10.1002/1521-3951(200103)224:2<471::AID-PSSB471>3.0.CO;2-R

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.