Quantum chaotic scattering and resistance fluctuations in mesoscopic junctions

Schirmacher, Walter; Eichengrün, Markus; Breymann, Wolfgang

doi:10.1002/(SICI)1521-3951(199801)205:1<219::AID-PSSB219>3.0.CO;2-W

Publication type:	Article in scientific journal
Type of review:	Peer review (publication)
Title:	Quantum chaotic scattering and resistance fluctuations in mesoscopic junctions
Authors:	Schirmacher, Walter Eichengrün, Markus Breymann, Wolfgang
DOI:	10.1002/(SICI)1521-3951(199801)205:1<219::AID-PSSB219>3.0.CO;2-W
Published in:	Physica status solidi B
Volume(Issue):	205
Issue:	1
Page(s):	219
Pages to:	222
Issue Date:	1998
Publisher / Ed. Institution:	Wiley
ISSN:	0370-1972 0031-8957 1521-3951
Language:	English
Subject (DDC):	530: Physics
Abstract:	Using the semi-classical approximation we calculate the quantum fluctuations of the two‐dimensional electronic scattering cross‐section from three hard disks in a magnetic field. The three‐disk billiard is a schematic model for a three‐lead mesoscopic (ballistic) junction. As the magnetic field increases the classical trajectories in the three‐disk billiard undergo a hyperbolic–non‐hyperbolic transition, i.e. a transition from a completely chaotic phase space to a phase space with stable islands. We show that the traces of this transition can be seen in the quantum fluctuations of the cross‐section and should therefore influence the resistance fluctuations of ballistic junctions.
URI:	https://digitalcollection.zhaw.ch/handle/11475/4619
Fulltext version:	Published version
License (according to publishing contract):	Licence according to publishing contract
Departement:	School of Engineering
Organisational Unit:	Institute of Data Analysis and Process Design (IDP)
Appears in collections:	Publikationen School of Engineering

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Schirmacher, W., Eichengrün, M., & Breymann, W. (1998). Quantum chaotic scattering and resistance fluctuations in mesoscopic junctions. Physica Status Solidi B, 205(1), 219–222. https://doi.org/10.1002/(SICI)1521-3951(199801)205:1<219::AID-PSSB219>3.0.CO;2-W

Schirmacher, W., Eichengrün, M. and Breymann, W. (1998) ‘Quantum chaotic scattering and resistance fluctuations in mesoscopic junctions’, Physica status solidi B, 205(1), pp. 219–222. Available at: https://doi.org/10.1002/(SICI)1521-3951(199801)205:1<219::AID-PSSB219>3.0.CO;2-W.

W. Schirmacher, M. Eichengrün, and W. Breymann, “Quantum chaotic scattering and resistance fluctuations in mesoscopic junctions,” Physica status solidi B, vol. 205, no. 1, pp. 219–222, 1998, doi: 10.1002/(SICI)1521-3951(199801)205:1<219::AID-PSSB219>3.0.CO;2-W.

SCHIRMACHER, Walter, Markus EICHENGRÜN und Wolfgang BREYMANN, 1998. Quantum chaotic scattering and resistance fluctuations in mesoscopic junctions. Physica status solidi B. 1998. Bd. 205, Nr. 1, S. 219–222. DOI 10.1002/(SICI)1521-3951(199801)205:1<219::AID-PSSB219>3.0.CO;2-W

Schirmacher, Walter, Markus Eichengrün, and Wolfgang Breymann. 1998. “Quantum Chaotic Scattering and Resistance Fluctuations in Mesoscopic Junctions.” Physica Status Solidi B 205 (1): 219–22. https://doi.org/10.1002/(SICI)1521-3951(199801)205:1<219::AID-PSSB219>3.0.CO;2-W.

Schirmacher, Walter, et al. “Quantum Chaotic Scattering and Resistance Fluctuations in Mesoscopic Junctions.” Physica Status Solidi B, vol. 205, no. 1, 1998, pp. 219–22, https://doi.org/10.1002/(SICI)1521-3951(199801)205:1<219::AID-PSSB219>3.0.CO;2-W.