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We study Aharonov-Bohm (AB) oscillations in the local density of states (LDOS) for topological insulator (TI) and conventional metal Au(111) surfaces with spin-orbit interaction, which can be probed by spin-polarized scanning tunneling…

Mesoscale and Nanoscale Physics · Physics 2011-12-30 Zhen-Guo Fu , Ping Zhang , Shu-Shen Li

Recent double-slit interference experiments have demonstrated the possibility of probing the phase of the complex transmission coefficient of a quantum dot via the Aharonov-Bohm effect. We propose an extension of these experiments: an ac…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 A. P. Jauho , Ned S. Wingreen

We analyze interference phenomena in the quantum-Hall analog of the Fabry-Perot interferometer, exploring the roles of the Aharonov-Bohm effect, Coulomb interactions, and fractional statistics on the oscillations of the resistance as one…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Bertrand I. Halperin , Ady Stern , Izhar Neder , Bernd Rosenow

Phase relaxation of electrons transferring through an electromechanical transistor is studied using the Aharonov-Bohm interferometer. With the approach of quantum master equation, the phase properties of an electron are numerically analyzed…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Wenxi Lai , Yunhui Xing , Zhongshui Ma

Very much like the ubiquitous quantum interference of a single particle with itself, quantum interference of two independent, but indistinguishable, particles is also possible. This interference is a direct result of quantum exchange…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 I. Neder , N. Ofek , Y. Chung , M. Heiblum , D. Mahalu , V. Umansky

We have investigated the Aharonov-Bohm effect in mesoscopic semiconductor GaAs/GaAlAs rings in low magnetic fields. The oscillatory magnetoconductance of these systems is systematically studied as a function of electron density. We observe…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. E. Hansen , S. Pedersen , A. Kristensen , C. B. Sorensen , P. E. Lindelof

This is a numerical study of the conductance of an Aharonov-Bohm interferometer in a tight-binding model of graphene. Two single-mode ballistic point contacts with zigzag edges are connected by two arms of a hexagonal ring enclosing a…

Mesoscale and Nanoscale Physics · Physics 2007-09-24 A. Rycerz , C. W. J. Beenakker

The phase of Aharonov-Bohm oscillations in mesoscopic metal rings in the presence of a magnetic field can be modulated by application of a DC-bias current I_DC. We address the question of how a variation of I_DC and hence of the microscopic…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 R. Haeussler , E. Scheer , H. B. Weber , H. v. Loehneysen

We study electron decoherence by measuring the temperature dependence of Aharonov-Bohm (AB) oscillations in quasi-1D rings, etched in a high-mobility GaAs/GaAlAs heterostructure. The oscillation amplitude is influenced both by…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. E. Hansen , A. Kristensen , S. Pedersen , C. B. Sorensen , P. E. Lindelof

The Aharonov-Bohm (AB) effect was convincingly demonstrated using a micro-sized toroidal magnet but it is almost always explained using an infinitely-long solenoid or an infinitely-long flux line. The main reason for this is that the formal…

Quantum Physics · Physics 2022-06-02 Ricardo Heras

The Aharonov-Bohm (AB) effect has been accepted and has promoted interdisciplinary scientific activities in modern physics. To observe the AB effect in condensed matter physics, the whole system needs to maintain phase coherence, in a tiny…

Mesoscale and Nanoscale Physics · Physics 2012-03-09 Masakatsu Tsubota , Katsuhiko Inagaki , Satoshi Tanda

Aharonov-Bohm effect is a quantum mechanical phenomenon that attracted the attention of many physicists and mathematicians since the publication of the seminal paper of Aharonov and Bohm [1] in 1959. We consider different types of…

Mathematical Physics · Physics 2015-06-24 Gregory Eskin

We consider different schemes for the electrodynamic Aharonov-Bohm (AB) effect introduced in Ref. [Phys. Rev. A $\mathbf{108}$, 062218 (2023)], exploring the phenomenon to enhance the understanding of its topological nature in spacetime. In…

Quantum Physics · Physics 2025-07-08 Pablo L. Saldanha , Herman Batelaan

Response of the electronic current through an Aharonov-Bohm ring after a two-level-system is switched on is calculated perturbatively by use of non-equilibrium Green function. In the ballistic case the amplitude of the Aharonov-Bohm…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Gen Tatara

One of the key features of the Majorana bound states emerging in topological superconducting (SC) wires is increasing oscillations of their energy under the growth of magnetic field or chemical potential due to concomitant enhancement of…

Mesoscale and Nanoscale Physics · Physics 2022-04-25 S. V. Aksenov

We study the magneto-transport in Aharonov-Bohm (AB) billiards forming doubly connected structures. In these systems, non-averaged conductance oscillates as a function of magnetic flux with period h/e. We derive formulas of the correlation…

chao-dyn · Physics 2007-05-23 Shiro Kawabata

The Aharonov-Bohm (AB) effect is a pure quantum effect that implies a measurable phase shift in the wave function for a charged particle that encircles a magnetic flux located in a region \textit{inaccessible} to the particle. Classically,…

Quantum Physics · Physics 2022-09-23 Xiang Li , Thors Hans Hansson , Wei Ku

Marletto and Vedral [Phys. Rev. Lett. 125, 040401 (2020)] propose that the Aharonov-Bohm (AB) phase is locally mediated by entanglement between a charged particle and the quantized electromagnetic field, asserting gauge independence for…

Quantum Physics · Physics 2026-01-27 Shan Gao

We address the question of how to model electron transport through closed Aharonov-Bohm interferometers which contain quantum dots. By explicitly studying interferometers with one and two quantum dots, we establish the connection between a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Björn Kubala , Jürgen König

Although there is no force on the electron in Aharonov-Bohm solenoid effect, the electron exerts a force on the solenoid related to the inequality of action and reaction forces of two subsystems in three-system configuration. The AB phase…

Quantum Physics · Physics 2009-11-30 Y. Ben-Aryeh
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