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Advanced Experimental Methods for Low-temperature Magnetotransport Measurement of Novel Materials
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Published on: January 21, 2016

Relativistic Hall effect.

Konstantin Y Bliokh1, Franco Nori

  • 1Advanced Science Institute, RIKEN, Wako-shi, Saitama 351-0198, Japan.

Physical Review Letters
|May 1, 2012
PubMed
Summary
This summary is machine-generated.

A relativistic Hall effect causes an intrinsic angular momentum-dependent transverse shift in objects observed from a moving frame. This phenomenon, observed in quantum and mechanical systems, has broad applications across various scales.

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Area of Science:

  • Relativistic quantum mechanics
  • Classical mechanics
  • Gravitational physics

Background:

  • Intrinsic angular momentum (AM) is a fundamental property of quantum waves and mechanical bodies.
  • The spin-Hall effect describes a transverse shift of particles based on their spin in condensed matter systems.
  • Relativistic effects become significant for objects moving at high velocities or in strong gravitational fields.

Purpose of the Study:

  • To investigate the relativistic deformation of quantum waves and mechanical bodies with intrinsic angular momentum.
  • To explore the transverse shift of an object's centroid in a moving reference frame.
  • To analyze the relativistic analogue of the spin-Hall effect in free space.

Main Methods:

  • Considering relativistic transformations for quantum waves and mechanical bodies.
  • Analyzing the AM-dependent transverse shift of the object's centroid.
  • Comparing the shifts of geometric and energy centroids.
  • Examining the role of centroids in Lorentz transformations of the AM tensor.

Main Results:

  • A novel relativistic Hall effect is identified, causing an AM-dependent transverse shift.
  • The shifts of geometric and energy centroids differ by a factor of 2.
  • Both centroids are essential for the Lorentz transformations of the AM tensor.
  • The effect is observed in quantum vortices and mechanical flywheels.

Conclusions:

  • The relativistic Hall effect provides a unified framework for understanding phenomena across diverse scales.
  • Quantum and relativistic approaches show perfect agreement, enabling broad applications.
  • Potential applications range from elementary particles and classical light to rotating black holes.