Geodesic
Quantum graph as a benchmark for persistent current
Nanosistemy: fizika, himiâ, matematika, Tome 15 (2024) no. 4, pp. 469-472

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The problem of persistence current in nanosystems is studied. We demonstrate some simple theoretical observation which allows one to construct a benchmark for the persistence current. It can be used for improvement of the persistence current measurement procedure. The consideration is based on the quantum graph model. The benchmark is given by a graph with finite number of rings touching at one point with a lead attached to this point. It is assumed that the graph is plane and there exists a magnetic field orthogonal to the rings.
Keywords: quantum graph, persistent current. 
@article{NANO_2024_15_4_a4,
     author = {Igor Yu. Popov and Anton I. Popov and Pavel A. Gilev and Ashok Chatterjee},
     title = {Quantum graph as a benchmark for persistent current},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {469--472},
     publisher = {mathdoc},
     volume = {15},
     number = {4},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2024_15_4_a4/}
}
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Igor Yu. Popov; Anton I. Popov; Pavel A. Gilev; Ashok Chatterjee. Quantum graph as a benchmark for persistent current. Nanosistemy: fizika, himiâ, matematika, Tome 15 (2024) no. 4, pp. 469-472. http://geodesic.mathdoc.fr/item/NANO_2024_15_4_a4/