Observation of phase-shift locking of the Aharonov-Bohm effect in doubly connected GaAsAlxGa1−xAs heterostructure devices

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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The Sagnac Phase Shift Suggested by the Aharonov-Bohm Effect for Relativistic Matter Beams

General Relativity and Gravitation ◽

10.1023/a:1026053828421 ◽

2003 ◽

Vol 35 (10) ◽

pp. 1745-1760 ◽

Cited By ~ 15

Author(s):

Guido Rizzi ◽

Matteo Luca Ruggiero

Keyword(s):

Phase Shift ◽

Bohm Effect ◽

Aharonov Bohm ◽

Sagnac Phase ◽

Relativistic Matter

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The Aharonov-Bohm Effect and the Quantum Interference Phase Shift due to an Electrostatic Field

NATO ASI Series - Quantum Uncertainties ◽

10.1007/978-1-4684-5386-7_16 ◽

1987 ◽

pp. 297-306 ◽

Cited By ~ 1

Author(s):

Giorgio Matteucci ◽

Giulio Pozzi

Keyword(s):

Phase Shift ◽

Electrostatic Field ◽

Quantum Interference ◽

Bohm Effect ◽

Aharonov Bohm ◽

Interference Phase

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FERMIONIC ZERO MODES IN SELF-DUAL VORTEX BACKGROUND

Modern Physics Letters A ◽

10.1142/s0217732305018037 ◽

2005 ◽

Vol 20 (39) ◽

pp. 3045-3053 ◽

Cited By ~ 29

Author(s):

YONGQIANG WANG ◽

TIEYAN SI ◽

YUXIAO LIU ◽

YISHI DUAN

Keyword(s):

Phase Shift ◽

Zero Mode ◽

Two Dimensions ◽

Two Dimensional ◽

Yang Mills ◽

Zero Modes ◽

Extra Space ◽

Bohm Effect ◽

Aharonov Bohm ◽

Unified Description

We study fermionic zero modes in the background of self-dual vortex on a two-dimensional non-compact extra space in 5+1 dimensions. In the Abelian Higgs model, we present a unified description of the topological and non-topological self-dual vortex on the extra two dimensions. Based on it, we study the localization of bulk fermions on a brane with the inclusion of Yang–Mills and gravity backgrounds in six dimensions. Through two simple cases, it is shown that the vortex background contributes a phase shift to the fermionic zero mode, this phase is actually origin from the Aharonov–Bohm effect.

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ELECTRON HOLOGRAPHY AND AHARONOV-BOHM EFFECT

International Journal of Modern Physics B ◽

10.1142/s0217979289000403 ◽

1989 ◽

Vol 03 (04) ◽

pp. 521-533 ◽

Cited By ~ 3

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.

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Phenomena and devices at the quantum scale and the mesoscale

10.1093/oso/9780198759874.003.0003 ◽

2017 ◽

Author(s):

Sandip Tiwari

Keyword(s):

Coulomb Blockade ◽

Secure Communication ◽

Quantum Hall ◽

Nanoscale Device ◽

Self Energy ◽

Stability Diagrams ◽

Charge Stability ◽

Bohm Effect ◽

Aharonov Bohm ◽

Non Locality

Unique nanoscale phenomena arise in quantum and mesoscale properties and there are additional intriguing twists from effects that are classical in origin. In this chapter, these are brought forth through an exploration of quantum computation with the important notions of superposition, entanglement, non-locality, cryptography and secure communication. The quantum mesoscale and implications of nonlocality of potential are discussed through Aharonov-Bohm effect, the quantum Hall effect in its various forms including spin, and these are unified through a topological discussion. Single electron effect as a classical phenomenon with Coulomb blockade including in multiple dot systems where charge stability diagrams may be drawn as phase diagram is discussed, and is also extended to explore the even-odd and Kondo consequences for quantum-dot transport. This brings up the self-energy discussion important to nanoscale device understanding.

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