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Quantum Hall physics in 3D metals

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Wednesday, February 10, 2021 1:30pm to 2:30pm

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Wednesday, February 10, 2021 1:30pm to 2:30pm

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Applying a strong magnetic field to an electron gas confines the electrons motion in cyclotron orbits with a set of discrete eigenenergies—the Landau levels. In 2D systems, this quantization leads to a fully gapped energy spectrum and to the emergence of the quantum Hall effect. In contrast, the Landau level spectrum of a 3D electron gas is not fully gapped and becomes like that of a one-dimensional system. As a consequence, the electrons can still move along the field direction, which in turn destroys the quantization of the Hall effect. However, we show that the Hall effect in 3D electron systems can actually be understood from quantum Hall physics. Analogous to 2D electrons systems, 3D metals near the quantum limit – where only a single Landau level is occupied - exhibit a quasi-quantized Hall effect and also tend to form correlated electron states.

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