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The Quantum Hall Effect

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A New Platform for Edge Mode Manipulations in the Quantum Hall Effect

Part of the book series: Springer Theses ((Springer Theses))

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Abstract

In the last four decades, one of the most ubiquitous and fruitful platforms for condensed matter physics experiments was the 2D electron gas (2DEG) system embedded in GaAs/AlGaAs heterostructures. Such heterostructures and the use of modulation doping leads to a system of electrons that are free to move with incredible high mobility in the x-y plane while they have no motion in the z-direction.

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Notes

  1. 1.

    The first method of a single interface is simply referred to as GaAs/AlGaAs 2DEG while the second method of GaAs sandwitched between two AlGaAs regions is referred to as a quantum well heterostructure.

  2. 2.

    Note that these eigenstates are a result of a specific choice of gauge for the vector potential. Other gauge choices would lead to other results such as switching the roles of x and y (this is obvious as there is complete symmetry between x and y in our discussion so far), but this would not lead to any difference in our discussion

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Authors and Affiliations

  1. Braun Center for Submicron Research, Weizmann Institute of Science, Rehovot, Israel

    Dr. Yonatan Cohen

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  1. Dr. Yonatan Cohen
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Correspondence to Yonatan Cohen .

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Cohen, Y. (2018). The Quantum Hall Effect. In: A New Platform for Edge Mode Manipulations in the Quantum Hall Effect. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-030-05943-9_2

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