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Related Concept Videos

Potential Due to a Magnetized Object01:24

Potential Due to a Magnetized Object

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Magnetic dipoles in magnetic materials are aligned when placed under an external magnetic field. For paramagnets and ferromagnets, dipole alignment occurs in the direction of the magnetic field. However, the dipoles align opposite to the field in the case of diamagnets. This state of magnetic polarization due to the external field is called magnetization. Magnetization is defined as the dipole moment per unit volume. It plays a similar role to polarization in electrostatics.
The vector...
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Paramagnetism01:30

Paramagnetism

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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...
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Magnetic Fields01:27

Magnetic Fields

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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.
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Diamagnetism01:26

Diamagnetism

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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....
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Magnetic Field Lines01:19

Magnetic Field Lines

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The representation of magnetic fields by magnetic field lines is very useful in visualizing the strength and direction of the magnetic field. Each of the magnetic field lines forms a closed loop. The field lines emerge from the north pole (N), loop around to the south pole (S), and continue through the bar magnet back to the north pole.
Magnetic field lines follow several hard-and-fast rules:
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Magnetic Flux01:18

Magnetic Flux

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The magnetic flux measures the number of magnetic field lines passing through a given surface area. The SI unit for magnetic flux is the weber (Wb). Magnetic flux is a scalar quantity. It depends on three factors: the strength of the magnetic field B, the area through which the field lines pass, and the relative orientation of the field with the surface area.
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Topological magnetoplasmon.

Dafei Jin1, Ling Lu2,3, Zhong Wang4,5

  • 1Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.

Nature Communications
|November 29, 2016
PubMed
Summary
This summary is machine-generated.

Classical wave fields exhibit particle-hole symmetry, enabling new topological phenomena. This study reveals topological analogies in magnetoplasmons, predicting novel edge states and zero-frequency modes for classical systems.

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Area of Science:

  • Condensed matter physics
  • Classical wave phenomena
  • Topological physics

Background:

  • Classical wave fields are real-valued, leading to identical states at opposite frequencies and momenta.
  • This inherent particle-hole symmetry in classical systems offers potential for novel topological phenomena.
  • Topological phases are well-established in quantum systems, but less explored in classical wave systems.

Purpose of the Study:

  • To explore topological phenomena in classical wave systems.
  • To establish a topological analogy between 2D magnetoplasmons and 2D topological superconductors.
  • To predict new types of topological edge states and zero-frequency modes in classical systems.

Main Methods:

  • Theoretical analysis of classical wave fields.
  • Investigating the properties of two-dimensional (2D) magnetoplasmons.
  • Comparing magnetoplasmon edge states with those in topological superconductors.

Main Results:

  • Demonstrated that 2D magnetoplasmons are topologically analogous to 2D topological p+ip superconductors.
  • Identified gapped bulk states and gapless one-way edge states in near-zero frequency magnetoplasmons.
  • Predicted a new type of one-way edge magnetoplasmon at interfaces of opposite magnetic domains.
  • Showcased the existence of zero-frequency modes in hollow disk geometries.

Conclusions:

  • Classical wave systems, specifically 2D magnetoplasmons, exhibit topological properties analogous to quantum systems.
  • The findings enrich the understanding of topological phases in bosonic and classical systems.
  • The predicted phenomena are experimentally verifiable and open new avenues for classical topological devices.