THE AHARONOV-CASHER AND BERRY’S PHASE EFFECTS IN SOLIDS

1991 ◽  
Vol 05 (23) ◽  
pp. 1607-1611 ◽  
Author(s):  
E.N. BOGACHEK ◽  
I.V. KRIVE ◽  
I.O. KULIK ◽  
A.S. ROZHAVSKY
Keyword(s):  
Magnetic Field ◽  
Phase Shift ◽  
Condensed Matter ◽  
Field Vector ◽  
Metal Ring ◽  
Topological Phase ◽  
Berry's Phase ◽  
Berry’S Phase ◽  
Aharonov Bohm ◽  
The Magnetic Field

We consider the manifestations of charge-induced topological phase shift (Aharonov-Casher effect) in condensed matter physics. There will be an oscillating response to high voltage of the magnetic moment (persistent current) and conductivity, as well as a phase shift of the Aharonov-Bohm oscillation to a smaller voltage, for the normal metal ring threaded by a charged fiber. These oscillations shift in phase if the magnetic field vector rotates along the ring, as a consequence of the geometrical (Berry’s) phase associated with the electron spin.

Anomalous cyclotron mass dependence on the magnetic field and Berry’s phase in (Cd1−x−y Zn x Mn y )3As2 solid solutions

2017 ◽  
Vol 29 (45) ◽  
pp. 455701 ◽  
Author(s):  
V S Zakhvalinskii ◽  
T B Nikulicheva ◽  
E Lähderanta ◽  
M A Shakhov ◽  
E A Nikitovskaya ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Solid Solutions ◽  
Mass Dependence ◽  
Berry's Phase ◽  
Berry’S Phase ◽  
The Magnetic Field ◽  
Cyclotron Mass

Dependence of Berry's phase on the sign of thegfactor for conical rotation of a magnetic field, measured without any dynamical phase shift

2011 ◽  
Vol 83 (5) ◽  
Author(s):  
Atsuo Morinaga ◽  
Koichi Toriyama ◽  
Hirotaka Narui ◽  
Takatoshi Aoki ◽  
Hiromitsu Imai
Keyword(s):  
Magnetic Field ◽  
Phase Shift ◽  
Berry's Phase ◽  
Berry’S Phase ◽  
Dynamical Phase

ELECTRON HOLOGRAPHY AND AHARONOV-BOHM EFFECT

1989 ◽  
Vol 03 (04) ◽  
pp. 521-533 ◽  
Author(s):  
AKIRA TONOMURA
Keyword(s):  
Magnetic Field ◽  
Phase Shift ◽  
Meissner Effect ◽  
Conclusive Evidence ◽  
Electron Holography ◽  
Leakage Field ◽  
Relative Phase Shift ◽  
Bohm Effect ◽  
Aharonov Bohm ◽  
The Magnetic Field

The Aharonov-Bohm (AB) effect was tested under conditions where an electron wave and a magnetic field did not overlap: the Meissner effect of the superconductor shielding a toroidal ferromagnet eliminated the leakage field. Using the newly-developed technique of electron holography, conclusive evidence for the AB effect was obtained by detecting a relative phase shift of π between the two electron waves passing through the hole and outside the toroid. The detected phase shift value of exactly π comes from the quantization of the magnetic flux within the superconductor. This quantization assures the complete shielding of the magnetic field.

scholarly journals Properties of the inner penumbral boundary and temporal evolution of a decaying sunspot

2018 ◽  
Vol 620 ◽  
pp. A191 ◽  
Author(s):  
M. Benko ◽  
S. J. González Manrique ◽  
H. Balthasar ◽  
P. Gömöry ◽  
C. Kuckein ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Magnetic Flux ◽  
Temporal Evolution ◽  
Vertical Component ◽  
Field Vector ◽  
Linear Increase ◽  
Vertical Magnetic Field ◽  
Magnetic Diffusion ◽  
The Magnetic Field ◽  
Linear Decay

Context. It has been empirically determined that the umbra-penumbra boundaries of stable sunspots are characterized by a constant value of the vertical magnetic field. Aims. We analyzed the evolution of the photospheric magnetic field properties of a decaying sunspot belonging to NOAA 11277 between August 28–September 3, 2011. The observations were acquired with the spectropolarimeter on-board of the Hinode satellite. We aim to prove the validity of the constant vertical magnetic-field boundary between the umbra and penumbra in decaying sunspots. Methods. A spectral-line inversion technique was used to infer the magnetic field vector from the full-Stokes profiles. In total, eight maps were inverted and the variation of the magnetic properties in time were quantified using linear or quadratic fits. Results. We find a linear decay of the umbral vertical magnetic field, magnetic flux, and area. The penumbra showed a linear increase of the vertical magnetic field and a sharp decay of the magnetic flux. In addition, the penumbral area quadratically decayed. The vertical component of the magnetic field is weaker on the umbra-penumbra boundary of the studied decaying sunspot compared to stable sunspots. Its value seem to be steadily decreasing during the decay phase. Moreover, at any time of the sunspot decay shown, the inner penumbra boundary does not match with a constant value of the vertical magnetic field, contrary to what is seen in stable sunspots. Conclusions. During the decaying phase of the studied sunspot, the umbra does not have a sufficiently strong vertical component of the magnetic field and is thus unstable and prone to be disintegrated by convection or magnetic diffusion. No constant value of the vertical magnetic field is found for the inner penumbral boundary.

scholarly journals Attitude Estimation of Underwater Vehicles Using Field Measurements and Bias Compensation

Sensors ◽  
2019 ◽  
Vol 19 (2) ◽  
pp. 330 ◽  
Author(s):  
Nak Ko ◽  
Seokki Jeong ◽  
Suk-seung Hwang ◽  
Jae-Young Pyun
Keyword(s):  
Magnetic Field ◽  
Field Measurement ◽  
Field Measurements ◽  
Underwater Vehicle ◽  
Field Vector ◽  
Attitude Estimation ◽  
Magnetic Field Measurement ◽  
Euler Angles ◽  
Measured Field ◽  
The Magnetic Field

This paper proposes a method of estimating the attitude of an underwater vehicle. The proposed method uses two field measurements, namely, a gravitational field and a magnetic field represented in terms of vectors in three-dimensional space. In many existing methods that convert the measured field vectors into Euler angles, the yaw accuracy is affected by the uncertainty of the gravitational measurement and by the uncertainty of the magnetic field measurement. Additionally, previous methods have used the magnetic field measurement under the assumption that the magnetic field has only a horizontal component. The proposed method utilizes all field measurement components as they are, without converting them into Euler angles. The bias in the measured magnetic field vector is estimated and compensated to take full advantage of all measured field vector components. Because the proposed method deals with the measured field independently, uncertainties in the measured vectors affect the attitude estimation separately without adding up. The proposed method was tested by conducting navigation experiments with an unmanned underwater vehicle inside test tanks. The results were compared with those obtained by other methods, wherein the Euler angles converted from the measured field vectors were used as measurements.

scholarly journals A general method for deriving vector potentials produced by knotted solenoids

2014 ◽  
Vol 29 (35) ◽  
pp. 1450189
Author(s):  
V. V. Sreedhar
Keyword(s):  
Magnetic Field ◽  
Charged Particles ◽  
Vector Potentials ◽  
Bohm Effect ◽  
Figure Eight Knot ◽  
Aharonov Bohm ◽  
The Magnetic Field ◽  
General Method

A general method for deriving exact expressions for vector potentials produced by arbitrarily knotted solenoids is presented. It consists of using simple physics ideas from magnetostatics to evaluate the magnetic field in a surrogate problem. The latter is obtained by modeling the knot with wire segments carrying steady currents on a cubical lattice. The expressions for a 31 (trefoil) and a 41 (figure-eight) knot are explicitly worked out. The results are of some importance in the study of the Aharonov–Bohm effect generalized to a situation in which charged particles moving through force-free regions are scattered by fluxes confined to the interior of knotted impenetrable tubes.

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