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Naturalistic Observations02:30

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If you want to understand how behavior occurs, one of the best ways to gain information is to simply observe the behavior in its natural context. However, people might change their behavior in unexpected ways if they know they are being observed. How do researchers obtain accurate information when people tend to hide their natural behavior? As an example, imagine that your professor asks everyone in your class to raise their hand if they always wash their hands after using the restroom. Chances...
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Isomerism in Complexes
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Fractional Quantum Hall Effect in Weyl Semimetals.

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Related Experiment Video

Updated: Feb 15, 2026

Three-Dimensional Printing of a Complex Aortic Anomaly
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Mirror Anomaly in Dirac Semimetals.

A A Burkov1

  • 1Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada.

Physical Review Letters
|January 20, 2018
PubMed
Summary

Dirac semimetals exhibit a novel quantum phenomenon called the mirror anomaly. This anomaly causes unique, step-like changes in their electrical conductivity when subjected to a magnetic field.

Area of Science:

  • Condensed Matter Physics
  • Quantum Materials
  • Topological Matter

Background:

  • Dirac semimetals are a class of materials exhibiting unique electronic properties.
  • Quantum anomalies, such as the chiral anomaly, play a crucial role in understanding exotic phenomena in these materials.
  • The response of Dirac semimetals to external fields is a key area of research.

Purpose of the Study:

  • To identify and characterize a new quantum anomaly in Dirac semimetals, termed the mirror anomaly.
  • To investigate the manifestation of this anomaly in the material's response to magnetic fields.
  • To establish an analogy between the mirror anomaly and the parity anomaly in lower dimensions.

Main Methods:

  • Theoretical analysis of Dirac semimetals in the presence of magnetic fields.

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  • Investigation of anomalous Hall conductivity under field rotation.
  • Examination of emergent mirror symmetry near Dirac points.
  • Main Results:

    • Discovery of the mirror anomaly in Dirac semimetals, distinct from the chiral anomaly.
    • Observation of step-function singularities in anomalous Hall conductivity during magnetic field rotation.
    • Demonstration of emergent mirror symmetry near time-reversal invariant momenta, analogous to parity symmetry.

    Conclusions:

    • The mirror anomaly represents a novel quantum phenomenon in Dirac semimetals.
    • This anomaly leads to unique, quantized responses in electrical conductivity under magnetic fields.
    • The findings provide new insights into topological properties and symmetries in quantum materials.