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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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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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NMR Spectroscopy: Spin–Spin Coupling01:08

NMR Spectroscopy: Spin–Spin Coupling

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The spin state of an NMR-active nucleus can have a slight effect on its immediate electronic environment. This effect propagates through the intervening bonds and affects the electronic environments of NMR-active nuclei up to three bonds away; occasionally, even farther. This phenomenon is called spin–spin coupling or J-coupling. Coupling interactions are mutual and result in small changes in the absorption frequencies of both nuclei involved. While nuclei of the same element are involved...
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Spin–Spin Coupling: One-Bond Coupling01:17

Spin–Spin Coupling: One-Bond Coupling

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Coupling interactions are strongest between NMR-active nuclei bonded to each other, where spin information can be transmitted directly through the pair of bonding electrons. While nuclei polarize their electrons to the opposite spins, the bonding electron pair has opposite spins. Configurations with antiparallel nuclear spins are expected to be lower in energy. When coupling makes antiparallel states more favorable, J is considered to have a positive value. The one-bond coupling constant, 1J,...
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Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

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In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
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Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid.

Y Kasahara1, T Ohnishi1, Y Mizukami2

  • 1Department of Physics, Kyoto University, Kyoto, Japan.

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|July 12, 2018
PubMed
Summary
This summary is machine-generated.

Researchers observed a novel quantum Hall effect in a quantum magnet, demonstrating spin fractionalization into Majorana fermions. This finding in alpha-RuCl3 opens possibilities for topological quantum computing.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Magnetism
  • Topological Phases of Matter

Background:

  • The quantum Hall effect typically involves charge currents in 2D electron systems.
  • Theoretical predictions suggested quantum Hall phenomena could arise from fractionalized quantum spins.
  • Observation of spin-based quantum Hall quantization remained elusive until this study.

Purpose of the Study:

  • To experimentally investigate the predicted quantum Hall effect arising from fractionalized quantum spins.
  • To explore the properties of the Kitaev quantum spin liquid in alpha-RuCl3 under magnetic fields.
  • To identify signatures of emergent Majorana fermions and their topological properties.

Main Methods:

  • Utilized the two-dimensional quantum magnet alpha-RuCl3 with a dominant Kitaev interaction.
  • Applied a magnetic field parallel to the sample to induce a quantum spin liquid state.
  • Measured the two-dimensional thermal Hall conductance as a function of magnetic field at low temperatures.

Main Results:

  • Observed a quantized plateau in the thermal Hall conductance, exactly half that of the integer quantum Hall effect.
  • This half-integer quantization is attributed to chiral edge currents of charge-neutral Majorana fermions.
  • Demonstrated spin fractionalization into Majorana fermions and Z2 fluxes, consistent with Kitaev quantum spin liquid theory.

Conclusions:

  • The study provides the first experimental evidence of quantum Hall effect quantization from fractionalized quantum spins.
  • The findings confirm the emergence of Majorana fermions in a quantum magnet, a key prediction of Kitaev spin liquids.
  • This discovery has significant implications for understanding strongly correlated quantum matter and advancing topological quantum computing.