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Auxiliary Calculations for Graphene-Based Quantum Hall Arrays Using Partially Recursive Star-Mesh Transformations

2024/02/22 by Dominick S. Scaletta, Scaletta, Dominick S., Albert F. Rigosi +1
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum Computing Algorithms and Architecture #Quantum and electron transport phenomena #Semiconductor Quantum Structures and Devices

paper · pdf · doi:10.48550/arxiv.2402.14520

openalex publication_date 2024/02/22 · openalex created_date 2024/02/24 · openalex updated_date 2026/07/28

Abstract

A previous mathematical approach adopted for optimizing the number of total device elements required for obtaining high effective quantized resistances in graphene-based quantum Hall array devices (QHARS) has been further explored with partial recursion patterns. Designs would assume the use of epitaxial graphene elements, whose quantized Hall resistance at the ν=2 plateau (RH ≈ 12906.4 \Ohm) becomes the building block for larger effective, quantized resistances. Auxiliary calculations suggest the importance of applying full recursions at least once to maximize the reduction of total QHARS elements needed for high resistances.

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