Transport studies in three-terminal microwave graphs with orthogonal, unitary, and symplectic symmetry

The Landauer-Büttiker formalism establishes an equivalence between the electrical conduction through a device, e.g., a quantum dot, and the transmission. Guided by this analogy we perform transmission measurements through three-port microwave graphs with orthogonal, unitary, and symplectic symmetry,...

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Bibliographic Details
Published in:Physical review. B 2018-08, Vol.98 (7), p.075311, Article 075311
Main Authors: Martínez-Argüello, A. M., Rehemanjiang, A., Martínez-Mares, M., Méndez-Bermúdez, J. A., Stöckmann, H.-J., Kuhl, U.
Format: Article
Language:English
Subjects:
Absorption
Accuracy
Condensed Matter
Coupling
Electrical conduction
Graphs
Mesoscopic Systems and Quantum Hall Effect
Physics
Quantum dots
Symmetry
Voltage drop
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Summary:The Landauer-Büttiker formalism establishes an equivalence between the electrical conduction through a device, e.g., a quantum dot, and the transmission. Guided by this analogy we perform transmission measurements through three-port microwave graphs with orthogonal, unitary, and symplectic symmetry, thus mimicking three-terminal voltage drop devices. One of the ports is placed as input and a second one as output, while a third port is used as a probe. Analytical predictions show good agreement with the measurements in the presence of orthogonal and unitary symmetries, provided that the absorption and the influence of the coupling port are taken into account. The symplectic symmetry is realized in specifically designed graphs mimicking spin-1/2 systems. Again a good agreement between experiment and theory is found. For the symplectic case the results are marginally sensitive to absorption and coupling strength of the port, in contrast to the orthogonal and unitary case.
ISSN:2469-9950
2469-9969
DOI:10.1103/PhysRevB.98.075311