May 31, 2021 
Quantum Hall effect and the third dimension
(Nanowerk News) The quantum Hall effect traditionally only plays a role in twodimensional electron systems. Recently, however, a threedimensional version of the quantum Hall effect was described in the Dirac semimetal ZrTe5.

It has been suggested that this version results from a magnetic fieldinduced Fermi surface instability that transforms the original threedimensional electron system into a stack of twodimensional electron systems.

Now scientists at the Max Planck Institute for Chemical Physics of Solids in Dresden, at the Technical University of Dresden, at the Brookhaven National Laboratory in New York, at the Helmholtz Center DresdenRossendorf, the Max Planck Institute for Microstructure Physics in Halle and at the WürzburgDresden Cluster of Excellence ct.qmat were able to show that the electron system of ZrTe5, contrary to the original explanation, remains threedimensional even in strong magnetic fields and that the quasiquantization of the Hall effect is nevertheless directly linked to quantumHall physics.

These findings have been reported in Nature Communications ("Origin of the quasiquantized Hall effect in ZrTe5").


Hall resistivity as a function of the applied magnetic field at 2 K in units of Planck’s constant h, the elementary charge e and the Fermi wave vector along the applied magnetic field kF,z. A sketch of the sample is shown at the top left. The threedimensional Fermi surface of the electrons in ZrTe5 is shown at the bottom right. (Image: MPI CPfS)

The findings from the study of quantum Hall physics in the third dimension can be universally applied to conventional metals and promise a unified explanation of the plateaus that have been observed in Hall measurements in many threedimensional materials, which were often puzzling in the past.

In addition, the concept can be directly applied to generalize the twodimensional quantum anomalous Hall effect to generic threedimensional magnets.

Source: Max Planck Institute for Chemical Physics of Solids

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