scholarly journals Anomalous Hall effect due to noncollinearity in pyrochlore compounds: Role of orbital Aharonov-Bohm effect

2010 ◽  
Vol 82 (10) ◽  
Author(s):  
Takeshi Tomizawa ◽  
Hirhoshi Kontani
Keyword(s):  
Hall Effect ◽  
Anomalous Hall Effect ◽  
Pyrochlore Compounds ◽  
Bohm Effect ◽  
Aharonov Bohm

Sign reversal of anomalous Hall effect derived from the transformation of scattering effect in cluster-assembled Ni0.8Fe0.2 nanostructural films

Nanoscale ◽  
2021 ◽  
Author(s):  
Ning Jiang ◽  
Bo Yang ◽  
Yulong Bai ◽  
Yaoxiang Jiang ◽  
Shifeng Zhao
Keyword(s):  
Hall Effect ◽  
Anomalous Hall Effect ◽  
Sign Reversal ◽  
Surface And Interface ◽  
Scattering Effect ◽  
Single Substance ◽  
Interface Scattering ◽  
Hall Effects

Both surface and interface scattering induced a sign reversal of anomalous Hall effects (AHE) in a few heterostructures. The sign reversal exiting in a single-substance can clarify the role of...

scholarly journals Role of Spin-Flip Transitions in the Anomalous Hall Effect of FePt Alloy

2011 ◽  
Vol 106 (11) ◽  
Author(s):  
Hongbin Zhang ◽  
Frank Freimuth ◽  
Stefan Blügel ◽  
Yuriy Mokrousov ◽  
Ivo Souza
Keyword(s):  
Hall Effect ◽  
Anomalous Hall Effect ◽  
Fept Alloy ◽  
Spin Flip

scholarly journals Anomalous Hall effect and the role of Berry curvature in Co2TiSn Heusler films

2019 ◽  
Vol 100 (5) ◽  
Author(s):  
Benedikt Ernst ◽  
Roshnee Sahoo ◽  
Yan Sun ◽  
Jayita Nayak ◽  
Lukas Müchler ◽  
...  
Keyword(s):  
Hall Effect ◽  
Anomalous Hall Effect ◽  
Berry Curvature

scholarly journals The non-ideal theory of the Aharonov–Bohm effect

Synthese ◽  
2020 ◽  
Author(s):  
John Dougherty
Keyword(s):  
Boundary Conditions ◽  
Electromagnetic Interaction ◽  
Theoretical Description ◽  
Ideal Theory ◽  
Topological Interpretation ◽  
Singular Limits ◽  
Bohm Effect ◽  
The Common ◽  
Aharonov Bohm

Abstract Elay Shech and John Earman have recently argued that the common topological interpretation of the Aharonov–Bohm (AB) effect is unsatisfactory because it fails to justify idealizations that it presupposes. In particular, they argue that an adequate account of the AB effect must address the role of boundary conditions in certain ideal cases of the effect. In this paper I defend the topological interpretation against their criticisms. I consider three types of idealization that might arise in treatments of the effect. First, Shech takes the AB effect to involve an idealization in the form of a singular limit, analogous to the thermodynamic limit in statistical mechanics. But, I argue, the AB effect itself features no singular limits, so it doesn’t involve idealizations in this sense. Second, I argue that Shech and Earman’s emphasis on the role of boundary conditions in the AB effect is misplaced. The idealizations that are useful in connecting the theoretical description of the AB effect to experiment do interact with facts about boundary conditions, but none of these idealizations are presupposed by the topological interpretation of the effect. Indeed, the boundary conditions for which Shech and demands justification are incompatible with some instances of the AB effect, so the topological interpretation ought not justify them. Finally, I address the role of the non-relativistic approximation usually presumed in discussions of the AB effect. This approximation is essential if—as the topological interpretation supposes—the AB effect constrains and justifies a relativistic theory of the electromagnetic interaction. In this case the ends justify the means. So the topological view presupposes no unjustified idealizations.

scholarly journals Comment on “Role of potentials in the Aharonov-Bohm effect”

2015 ◽  
Vol 92 (2) ◽  
Author(s):  
Yakir Aharonov ◽  
Eliahu Cohen ◽  
Daniel Rohrlich
Keyword(s):  
Bohm Effect ◽  
Aharonov Bohm

Topological quantum scattering under the influence of a nontrivial boundary condition

2016 ◽  
Vol 31 (11) ◽  
pp. 1650074 ◽  
Author(s):  
Herondy Mota
Keyword(s):  
Boundary Condition ◽  
Phase Shift ◽  
Gordon Equation ◽  
Scattering Problem ◽  
Quantum Scattering ◽  
Topological Quantum ◽  
Klein Gordon ◽  
Bohm Effect ◽  
Aharonov Bohm

We consider the quantum scattering problem of a relativistic particle in (2 + 1)-dimensional cosmic string spacetime under the influence of a nontrivial boundary condition imposed on the solution of the Klein–Gordon equation. The solution is then shifted as consequence of the nontrivial boundary condition and the role of the phase shift is to produce an Aharonov–Bohm-like effect. We examine the connection between this phase shift and the electromagnetic and gravitational analogous of the Aharonov–Bohm effect and compare the present results with previous ones obtained in the literature, also considering non-relativistic cases.

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