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Spin and Charge Ordering in the Quantum Hall Regime pp 7–45Cite as

The Two-Dimensional Electron System

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

Abstract

At the heart of this thesis are the properties of high-quality two-dimensional electron systems when being exposed to strong magnetic fields and low temperatures. In our case, the 2DES is hosted inside of a GaAs/AlGaAs heterostructure—a system well known for its excellent quality. Details on the sample structure are provided in the first section of this chapter. The remaining sections summarize the basic properties of a 2DES in a perpendicular magnetic field and lay the foundation for the physics discussed in subsequent chapters. Of particular importance is here the integer and fractional quantum Hall effect. Special emphasis is put on the density-modulated phases in the quantum Hall regime as well as the peculiar physics of the second Landau level.

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Notes

  1. 1.

    More precisely, the electrochemical potential should be used instead of the Fermi energy at finite temperatures. We neglect this subtlety throughout the thesis in view of the low sample temperatures.

  2. 2.

    Here, as in all other resistance measurements throughout this thesis, a low-frequency lock-in technique was used to improve the signal-to-noise ratio.

  3. 3.

    In some cases, which are not of relevance for this work, it is advantageous to use the von Neumann lattice gauge. Here, the wavefunctions describe a cyclotron motion of electrons centered around points of a von Neumann lattice [21].

  4. 4.

    Côté et al. consider a maximum number of \(n+\)1 electrons per bubble. However, as the \(n+\)1 bubble phase appears around , it is unstable against the formation of a stripe phase [81].

  5. 5.

    In the following, we will focus mainly on the state because of its higher stability and therefore greater experimental relevance. Since the state is considered the particle-hole conjugate of the state, all statements should apply equally to the state.

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    Benedikt Frieß

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Frieß, B. (2016). The Two-Dimensional Electron System. In: Spin and Charge Ordering in the Quantum Hall Regime. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-33536-0_2

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