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Hunting colored (quantum) butterflies A geometric derivation of the TKNN-equations

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Academic year: 2021

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Figure 1.1 : Sketch of the experimental setup for the Hall effect. A magnetic field B normal to a thin bar of a (conductor) sample induces a Lorentz force on a current I which flows in the x-direction
Figure 1.2 : The figure shows (in red) the quantization of the Hall resistivity ρ H in a GaAs-GaAlAs het- het-erojunction, recorded at a temperature of 30 mK
Figure 1.3 : Schematic representation of the Laughlin’s gedanken experiment. A two dimensional surface with a cylindrical geometry contains a cold gas of electrons
Figure 1.4 : Header of the seminal paper of Thouless et al. that contains the first topological explanation for the QHE.
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