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Magnetic monopole field exposed by electrons

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 Added by Armand B\\'ech\\'e
 Publication date 2013
  fields Physics
and research's language is English




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Magnetic monopoles have provided a rich field of study, leading to a wide area of research in particle physics, solid state physics, ultra-cold gases, superconductors, cosmology, and gauge theory. So far, no true magnetic monopoles were found experimentally. Using the Aharonov-Bohm effect, one of the central results of quantum physics, shows however, that an effective monopole field can be produced. Understanding the effects of such a monopole field on its surroundings is crucial to its observation and provides a better grasp of fundamental physical theory. We realize the diffraction of fast electrons at a magnetic monopole field generated by a nanoscopic magnetized ferromagnetic needle. Previous studies have been limited to theoretical semiclassical optical calculations of the motion of electrons in such a monopole field. Solid state systems like the recently studied spin ice provide a constrained system to study similar fields, but make it impossible to separate the monopole from the material. Free space diffraction helps to understand the dynamics of the electron-monopole system without the complexity of a solid state system. The use of a simple object such as a magnetized needle will allow various areas of physics to use the general dynamical effects of monopole fields without requiring a monopole particle or specific solids which have internal monopole-like properties. The experiment performed here shows that even without a true magnetic monopole particle, the theoretical background on monopoles serves as a basis for experiments and can be applied to efficiently create electron vortices. Various predictions about angular momentum and general field effects can readily be studied using the available equipment. This realization provides insights for the scientific community on how to detect magnetic monopoles in high energy collisions, cosmological processes, or novel materials.

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A new static and azimuthally symmetric magnetic monopolelike object, which looks like a Dirac monopole when seen from far away but smoothly changes to a dipole near the monopole position and vanishes at the origin, is discussed. This monopolelike object is inspired by an analysis of an exactly solvable model of Berrys phase in the parameter space. A salient feature of the monopolelike potential ${cal A}_{k}(r,theta)$ with a magnetic charge $e_{M}$ is that the Dirac string is naturally described by the potential ${cal A}_{k}(r,theta)$, and the origin of the Dirac string and the geometrical center of the monopole are displaced in the coordinate space. The smooth topology change from a monopole to a dipole takes place if the Dirac string, when coupled to the electron, becomes unobservable by satisfying the Dirac quantization condition. The electric charge is then quantized even if the monopole changes to a dipole near the origin. In the transitional region from a monopole to a dipole, a half-monopole with a magnetic charge $e_{M}/2$ appears.
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