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Related Concept Videos

The Hall Effect01:30

The Hall Effect

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.
Paramagnetism01:30

Paramagnetism

Paramagnets are materials with unpaired electrons that possess a finite magnetic moment. In the absence of a magnetic field, these moments are randomly oriented, and thus the net moment is zero. Under an external field, a torque acting on the moments tends to align them along the field's direction. However, the random thermal motion of electrons produces a torque opposite to the external field and tries to disorient the moments. These two competing effects align only a few moments along the...
Ferromagnetism01:31

Ferromagnetism

Materials like iron, nickel, and cobalt consist of magnetic domains, within which the magnetic dipoles are arranged parallel to each other. The magnetic dipoles are rigidly aligned in the same direction within a domain by quantum mechanical coupling among the atoms. This coupling is so strong that even thermal agitation at room temperature cannot break it. The result is that each domain has a net dipole moment. However, some materials have weaker coupling, and are ferromagnetic at lower...
Magnetic Susceptibility and Permeability01:31

Magnetic Susceptibility and Permeability

In linear magnetic materials, like paramagnets and diamagnets, magnetization is proportional to the magnetic field intensity. The constant of proportionality, a dimensionless number, is called magnetic susceptibility. The value of the susceptibility depends on the type of material.
When diamagnetic materials are placed under an external magnetic field, the moments opposite to the field are induced. Hence, the susceptibility for diamagnets has a minimal negative value of 10-5–10-6. Since...
Diamagnetism01:26

Diamagnetism

Materials consisting of paired electrons have zero net magnetic moments. However, when these materials are placed under an external magnetic field, the moments opposite to the field are induced. Such materials are called diamagnets. Diamagnetism is the response of the diamagnets when placed in an external magnetic field.
Diamagnetism was discovered by Anton Brugmans in 1778 when he observed that bismuth gets repelled by magnetic fields, thus theorizing that diamagnets get repelled by magnets.
Magnetic Fields01:27

Magnetic Fields

A moving charge or a current creates a magnetic field in the surrounding space, in addition to its electric field. The magnetic field exerts a force on any other moving charge or current that is present in the field. Like an electric field, the magnetic field is also a vector field. At any position, the direction of the magnetic field is defined as the direction in which the north pole of a compass needle points.
A magnetic field is defined by the force that a charged particle experiences...

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Advanced Experimental Methods for Low-temperature Magnetotransport Measurement of Novel Materials
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Quantum Anomalous Hall Conductivity in Altermagnets under Applied Magnetic Field.

Meysam Bagheri Tagan1,2, Amar Fakhredine3, Carmine Autieri1

  • 1International Research Centre Magtop, Institute of Physics, Polish Academy of Sciences, Aleja Lotnik'ow 32/46, PL-02668 Warsaw, Poland.

The Journal of Physical Chemistry Letters
|May 25, 2026
PubMed
Summary

We explore quantum anomalous Hall conductivity in a d-wave altermagnet, finding magnetic fields enable tunable valley-dependent topology for novel electronic applications.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Mechanics

Background:

  • Altermagnetism breaks spin symmetry without net magnetization, creating unique electronic properties.
  • The Lieb lattice provides a platform for novel topological electronic states.
  • Quantum anomalous Hall conductivity is a key phenomenon in topological materials.

Purpose of the Study:

  • Investigate quantum anomalous Hall conductivity in a 2D d-wave altermagnet on a Lieb lattice.
  • Understand the role of external magnetic fields in tuning topological properties.
  • Distinguish this system from ferro-valleytronic and quantum spin Hall systems.

Main Methods:

  • Theoretical modeling of electronic band structure.
  • Analysis of Berry curvature and Chern numbers.
  • Phase diagram construction under varying magnetic fields.

Main Results:

  • Altermagnetic order induces distinct spin-resolved bands and valley splitting.
  • Phase diagram reveals normal insulator, spin Chern insulator, and Dirac semimetal phases.
  • Magnetic fields enable valley-dependent topological states with tunable Chern numbers (C = ±1).

Conclusions:

  • A mechanism for rapid magnetic control of the quantum anomalous Hall effect is identified.
  • The system exhibits unique valley-dependent topology distinct from other topological systems.
  • This research opens avenues for novel spintronic and topological electronic devices.