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We establish systematic consolidation of the Aharonov-Bohm and Aharonov-Casher effects including their scalar counterparts. Their formal correspondences in acquiring topological phases are revealed on the basis of the gauge symmetry in…

Quantum Physics · Physics 2009-11-10 Minchul Lee , M. Y. Choi

The Aharonov--Casher (AC) effect describes the geometric phase acquired by a neutral particle carrying a magnetic dipole moment moving in an external electric field. In supersymmetric gauge theories it is often argued that exact…

High Energy Physics - Theory · Physics 2026-05-13 L. A. S. Nunes , C. A. S. Almeida

We briefly review the theoretical formulations and applications of the Aharonov--Bohm effect and the Aharonov--Casher effect with emphasis on mesoscopic physics. Topics relating to the Aharonov--Bohm effect include: locality, periodicity,…

Mesoscale and Nanoscale Physics · Physics 2023-02-21 Y. Avishai , Y. B. Band

The Aharonov-Casher (AC) effect for quantum motion of a neutral magnetized particle in the electric field is believed to be a topological effect closely related to the known Aharonov-Bohm (AB) effect. We study how it depends on the spin of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ya. I. Azimov , R. M. Ryndin

The original topological Aharonov-Casher (AC) effect is due to the interaction of the anomalous magnetic dipole moment (MDM) with certain configurations of electric field. Naively one would not expect an AC effect for a scalar particle for…

Quantum Physics · Physics 2014-11-18 Xiao-Gang He , Bruce H. McKellar

We demonstrate the time reversal Aharonov-Casher (AC) effect in small arrays of mesoscopic semiconductor rings. By using an electrostatic gate we can control the spin precession rate and follow the AC phase over several interference…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Tobias Bergsten , Toshiyuki Kobayashi , Yoshiaki Sekine , Junsaku Nitta

We study combined interference effects due to the Aharonov-Bohm (AB) and Aharonov-Casher (AC) phases in a Josephson supercurrent of local and nonlocal (split) Cooper pairs. We analyze a junction between two superconductors interconnected…

Mesoscale and Nanoscale Physics · Physics 2019-12-06 Damian Tomaszewski , Piotr Busz , Rosa Lopez , Rok Zitko , Minchul Lee , Jan Martinek

In an earlier paper it was demonstrated that the hypothesized electrostatic version of the Aharonov-Bohm ("AB") effect does not exist. The conclusion follows straightforwardly once one recognizes that interference takes place in the…

Quantum Physics · Physics 2016-12-16 Allan Walstad

We analyze a Josephson junction between two superconductors interconnected through a normal-state nanostructure made of two parallel nanowires with embedded quantum dots. We study the influence of interference effects due to the…

Mesoscale and Nanoscale Physics · Physics 2019-12-06 Damian Tomaszewski , Piotr Busz , Rosa Lopez , Rok Zitko , Minchul Lee , Jan Martinek

In this paper we investigate the scalar Aharonov-Bohm (AB) effect in two of its forms, i.e., its electric form and its gravitational form. The standard form of the electric AB effect involves having particles (such as electrons) move in…

Recent neutron interferometry experiments have been interpreted as demonstrating a new topological phenomenon similar in principle to the usual Aharonov-Bohm (AB) effect, but with the neutron's magnetic moment replacing the electron's…

Quantum Physics · Physics 2009-10-28 Murray Peshkin , H. J. Lipkin

After obtaining an exact analytical time-varying solution for the Aharonov-Casher conducting ring embedded in a textured static/dynamic electric field, we investigate the spin-resolved quantum transport in the structure. It is shown that…

Mesoscale and Nanoscale Physics · Physics 2018-09-10 Can Li , Yaojin Li , Dongxing Yu , Chenglong Jia

The Aharonov-Bohm effect including spin-noncommutative effects is considered. At linear order in $\theta$, the magnetic field is gauge invariant although spatially strongly anisotropic. Despite this anisotropy, the Schr\"odinger-Pauli…

High Energy Physics - Theory · Physics 2011-08-12 A. Das , H. Falomir , J. Gamboa , F. Mendez , M. Nieto

In this paper we give a covariant expression for Aharonov-Casher phase. This expression is a combination of the canonical electric field, Aharonov-Casher phase plus a magnetic field phase shift. We use this covariant expression for the…

High Energy Physics - Theory · Physics 2016-01-20 Douglas Singleton , Jaryd Ulbricht

We have calculated the persistent spin current of an open ring induced by the Aharonov-Casher phase. For unpolarized electrons there exist no persistent charge currents, but persistent spin currents. We show that, in general, the magnitude…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Taeseung Choi , Chang-Mo Ryu , A. M. Jayannavar

The Aharonov-Casher (AC) effect in non-commutative(NC) quantum mechanics is studied. Instead of using the star product method, we use a generalization of Bopp's shift method. After solving the Dirac equations both on noncommutative space…

High Energy Physics - Theory · Physics 2008-11-26 Kang Li , Jianhua Wang

In this work the Aharonov-Casher (AC) phase is calculated for spin one particles in a noncommutative space. The AC phase has previously been calculated from the Dirac equation in a noncommutative space using a gauge-like technique [17]. In…

High Energy Physics - Theory · Physics 2008-11-26 B. Mirza , R. Narimani , M. Zarei

We study the Aharonov-Bohm (AB) caging effect in rhombic exciton-polariton lattices, with the Rashba-Dresselhaus spin-orbit coupling (RDSOC) in acting a synthetic gauge field. The effective magnetic flux through each plaquette is controlled…

Quantum Gases · Physics 2023-07-17 Wei Qi

By using a generalized Bopp's shift formulation, instead of star product method, we investigate the Aharonov-Casher(AC) effect for a spin-1 neutral particle in non-commutative(NC) quantum mechanics. After solving the Kemmer equations both…

Mathematical Physics · Physics 2008-11-26 Sayipjamal Dulat , Kang Li

We study the time-dependent Aharonov-Bohm effect on the noncommutative space. Because there is no net Aharonov-Bohm phase shift in the time-dependent case on the commutative space, therefore, a tiny deviation from zero indicates new…

High Energy Physics - Theory · Physics 2016-06-10 Kai Ma , Jian-Hua Wang , Huan-Xiong Yang
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