Spin Hall effect and Berry phase of spinning particles

  title={Spin Hall effect and Berry phase of spinning particles},
  author={Alain B'erard and Herv'e Mohrbach},
  journal={Physics Letters A},

An overview of the gravitational spin Hall effect

In General Relativity, the propagation of electromagnetic waves is usually described by the vacuum Maxwell's equations on a fixed curved background. In the limit of infinitely high frequencies,

Dirac Systems İn Terms Of The Berry Gauge Fields And Effective Field Theory Of A Topological Insulator

Dirac systems in terms the of Berry gauge fields and the effective field theory of a time-reversal invariant topological insulator are investigated. Dirac systems or Dirac-like systems are

Angular momentum of light revisited: spin-orbit interactions in free space

We give an exact self-consistent operator description of the spin and orbital angular momenta, position, and spin-orbit interactions of nonparaxial light in free space. We apply the general theory to

Position, spin and orbital angular momentum of a relativistic electron

Motivated by recent interest in relativistic electron vortex states, we revisit the spin and orbital angular momentum properties of Dirac electrons. These are uniquely determined by the choice of the

The geometric phase and the geometrodynamics of relativistic electron vortex beams

We have studied here the geometrodynamics of relativistic electron vortex beams from the perspective of the geometric phase associated with the scalar electron encircling the vortex line. It is

Spin-Hall effect induced by transverse optical spin

We demonstrate spin-Hall effect for transversely spinning light at the interface of a metamaterial. The beam shift takes place in the plane of incidence, in contrast to the conventional spin-Hall

Spin Hall effect of transversely spinning light

Light carries spin angular momentum, which, in the free space, is aligned to the direction of propagation and leads to intriguing spin Hall phenomena at an interface. Recently, it was shown that a

Covariant formulation of spin optics for electromagnetic waves

We develop geometric optics expansion up to the subleading order for circularly polarized electromagnetic waves on curved spacetime. This subleading order geometric optics expansion, in which the

Photonic spin Hall effect from quantum kinetic theory in curved spacetime

Based on quantum field theory, we formulate the Wigner function and quantum kinetic theory for polarized photons in curved spacetimes which admit a covariantly constant timelike vector. From this

Spin Hall effects and the localization of massless spinning particles

The spin Hall effects of light represent a diverse class of polarization-dependent physical phenom-ena involving the dynamics of electromagnetic wave packets. In a medium with an inhomogeneous



Localizability and space in quantum physics

This book discusses in detail the concept of light quanta (photons) and presents a historical survey of the ideas involved. It analyses critically the principles of complementarity and correspondence


  • Rev. D 69 (2004) 127701; A. Bérard, Y. Grandati, H. Mohrbach, Phys. lett. A 254
  • 2004


  • Nat. Acd. Sci. 34
  • 1948

Quantized Space-Time

It is usually assumed that space-time is a continuum. This assumption is not required by Lorentz invariance. In this paper we give an example of a Lorentz invariant discrete space-time.

Spin-orbit interaction of a photon in an inhomogeneous medium

As light propagates in an optically inhomogeneous medium, bending and twisting of the beam cause the rotation of the polarization plane. This is the well-known Rytov-Vladimirsky effect or Berry

Massless Point Particle With Rigidity

The model of relativistic particle with rigidity whose action A=−α∫ kds depends on the curvature of particle world trajectory k, is studied. The classical motion of the particle is shown to go along

monopole and Berry phase in momentum space in noncommutative quantum mechanics

To build genuine generators of the rotations group in noncommutative quantum mechanics, we show that it is necessary to extend the noncommutative parameter $\ensuremath{\theta}$ to a field operator,