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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.
The de Broglie Wavelength02:32

The de Broglie Wavelength

In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
Theory of Metallic Conduction01:17

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Standing Waves in a Cavity01:28

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Doppler Effect - II01:05

Doppler Effect - II

The Doppler effect has several practical, real-world applications. For instance, meteorologists use Doppler radars to interpret weather events based on the Doppler effect. Typically, a transmitter emits radio waves at a specific frequency toward the sky from a weather station. The radio waves bounce off the clouds and precipitation and travel back to the weather station. The radio frequency of the waves reflected back to the station appears to decrease if the clouds or precipitation are moving...
IR Spectroscopy: Hooke's Law Approximation of Molecular Vibration01:16

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High Resolution Phonon-assisted Quasi-resonance Fluorescence Spectroscopy
10:40

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Published on: June 28, 2016

The phonon Hall effect: theory and application.

Lifa Zhang1, Jie Ren, Jian-Sheng Wang

  • 1Department of Physics and Centre for Computational Science and Engineering, National University of Singapore, Singapore 117542, Republic of Singapore.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|July 15, 2011
PubMed
Summary
This summary is machine-generated.

We developed a theory for the phonon Hall effect in crystal lattices, revealing temperature-dependent Hall conductivity reversals in kagome lattices and identifying singularities linked to band topology.

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Area of Science:

  • Condensed matter physics
  • Solid-state physics
  • Materials science

Background:

  • The phonon Hall effect describes transverse heat transport in response to a longitudinal temperature gradient.
  • Understanding this effect in crystalline materials is crucial for thermal management and phononics.
  • Kagome lattices are prevalent in various functional materials, making them ideal for studying fundamental physical phenomena.

Purpose of the Study:

  • To develop a systematic theory for the phonon Hall effect in ballistic crystal lattice systems.
  • To apply this theory to the ubiquitous kagome lattice.
  • To investigate the influence of temperature and band topology on phonon Hall conductivity.

Main Methods:

  • Developed a second quantization approach for non-Hermitian operators in polarization-vector space.
  • Derived a new heat current density operator with distinct longitudinal and transverse components.
  • Analyzed phonon transport and Hall conductivity in kagome lattice models.

Main Results:

  • Introduced a novel heat current density operator with normal and anomalous velocity contributions.
  • Predicted temperature-dependent reversal of Hall conductivity direction in kagome lattices at low magnetic fields.
  • Discovered three singularities in phonon Hall conductivity associated with band topology changes at high-symmetry points (Γ, K, X).

Conclusions:

  • The developed theory provides a framework for understanding the phonon Hall effect in ballistic systems.
  • The findings on kagome lattices offer potential experimental verification and insights into thermal transport control.
  • The identified singularities highlight the connection between topological properties and phonon transport phenomena.