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Related Concept Videos

Quantum Numbers02:43

Quantum Numbers

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It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels.
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Atomic Orbitals02:44

Atomic Orbitals

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An atomic orbital represents the three-dimensional regions in an atom where an electron has the highest probability to reside. The radial distribution function indicates the total probability of finding an electron within the thin shell at a distance r from the nucleus. The atomic orbitals have distinct shapes which are determined by l, the angular momentum quantum number. The orbitals are often drawn with a boundary surface, enclosing densest regions of the cloud.
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Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
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The Hall Effect01:30

The Hall Effect

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Edwin H. Hall, in the year 1879, devised an experiment that could be used to identify the polarity of the predominant charge carriers in a conducting material. From a historical perspective, this experiment was the first to demonstrate that the charge carriers in most metals are negative.
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Quantum Hall effect based on Weyl orbits in Cd3As2.

Cheng Zhang1,2, Yi Zhang3, Xiang Yuan1,2

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|December 19, 2018
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This summary is machine-generated.

Researchers discovered a new quantum Hall effect in three-dimensional topological semimetals. This effect, based on Weyl orbits, shows chiral states emerging in the bulk, offering new avenues for quantum computing research.

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Area of Science:

  • Condensed matter physics
  • Topological materials science
  • Quantum phenomena

Background:

  • The quantum Hall effect, crucial for topological phases and quantum computing, typically arises from chiral edge states in 2D systems under magnetic fields.
  • Extending quantum Hall physics to higher dimensions beyond stacked 2D systems remains an open challenge.

Purpose of the Study:

  • To investigate the possibility of a quantum Hall effect in three-dimensional materials.
  • To explore novel quantum phenomena in topological semimetals like Cadmium Arsenide (Cd3As2).

Main Methods:

  • Fabrication of wedge-shaped Cadmium Arsenide (Cd3As2) nanostructures with variable thickness.
  • Conducting transport experiments to measure quantum phase shifts and chiral modes.
  • Analyzing Landau level dependence on magnetic field and sample thickness.

Main Results:

  • Evidence of a new quantum Hall effect based on Weyl orbits in 3D topological semimetal nanostructures.
  • Observation of chiral states emerging from bulk transport through Weyl orbits, influenced by sample thickness.
  • Experimental results align with theoretical predictions using a modified Lifshitz-Onsager relation.

Conclusions:

  • Topological semimetal nanostructures enable the exploration of three-dimensional quantum Hall physics.
  • Weyl orbits provide a mechanism for bulk chiral states, expanding quantum Hall effect applications.
  • This research enhances tunability for exploring quantum Hall physics in novel material dimensions.