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NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of one, the...
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Quantum spin liquids: a review.

Lucile Savary1, Leon Balents2

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Summary
This summary is machine-generated.

Quantum spin liquids are exotic, entangled states of matter that avoid magnetic ordering due to strong quantum fluctuations. This review explores their properties, theoretical tools, and experimental status.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Magnetism

Background:

  • Quantum spin liquids are disordered ground states of spin systems.
  • Characterized by strong zero-point fluctuations preventing magnetic order.
  • Exhibit massive many-body entanglement, defining distinct phases of matter.

Purpose of the Study:

  • To review the nature and properties of quantum spin liquid phases.
  • To introduce theoretical tools like gauge theory and partons for their study.
  • To provide an overview of experimental progress and diverse probes.

Main Methods:

  • Discussion of paradigmatic models and general arguments.
  • Introduction to theoretical frameworks including gauge theory and partons.
  • Overview of experimental techniques and their application.

Main Results:

  • Quantum spin liquids possess unique physical aspects like non-local excitations and topological properties.
  • Theoretical tools facilitate the study of these complex entangled states.
  • Experimental investigations are progressing with various sophisticated probes.

Conclusions:

  • Quantum spin liquids represent a frontier in condensed matter physics.
  • Understanding their entanglement and topological order is crucial.
  • Continued theoretical and experimental efforts are vital for their exploration.