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The Aharonov-Bohm effect is a physical phenomenon where the vector potential induces a phase shift of electron wavepackets in regions with zero magnetic fields. It is often referred to as evidence for the physical reality of the vector…

Mesoscale and Nanoscale Physics · Physics 2025-06-26 Francesco Di Colandrea , Nazanin Dehghan , Filippo Cardano , Alessio D'Errico , Ebrahim Karimi

We present an angular--momentum--resolved energetic formulation of the Aharonov--Bohm (AB) response for a confined Dirac electron based on two gauge--invariant interaction functionals: a magnetization--field functional and a…

Quantum Physics · Physics 2026-01-21 Ju Gao , Fang Shen

We study the Aharonov-Bohm (AB) effect in two-dimensional mesoscopic frame in hole systems. We show that differing from the AB effect in electron systems, due to the presence of both the heavy hole and the light hole, the conductances not…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Zhou , M. W. Wu , M. Q. Weng

We present an exact, time-dependent solution for a two-dimensional Pauli oscillator deformed by Dunkl operators in the presence of an Aharonov--Bohm (AB) flux. By replacing conventional momenta with Dunkl momenta and allowing arbitrary time…

Quantum Physics · Physics 2026-01-14 Boubakeur Khantoul , Ahmed Tedjani

It is commonly believed that the Aharonov-Bohm (AB) effect is a typical feature of the motion of a charged particle interacting with the electromagnetic vector potential. Here we present a magnetophotoluminescence study of type-II InP/GaAs…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 E. Ribeiro , G. Medeiros-Ribeiro , W. Carvalho , A. O. Govorov

We report Aharonov-Bohm (AB)-type quantum interference in simply-connected devices created at the LaAlO$_3$/SrTiO$_3$ interface using conductive-atomic force microscope (c-AFM) lithography. The oscillations are multi-periodic functions of…

The anomalous Hall {\color{black} e}ffect (AHE) has emerged as a key indicator of time-reversal symmetry breaking (TRSB) and topological features in electronic band structures. Absent of a magnetic field, the AHE requires spontaneous TRSB…

Quantum coherent properties of electrons can be studied in Aharonov-Bohm (AB) interferometers. We investigate both experimentally and theoretically the transmission phase evolution in a four-terminal quasi-one-dimensional AlGaAs/GaAs-based…

Mesoscale and Nanoscale Physics · Physics 2011-11-08 Christoph Kreisbeck , Tobias Kramer , Sven S. Buchholz , Saskia F. Fischer , Ulrich Kunze , Dirk Reuter , Andreas D. Wieck

We show that in the absence of a magnetic field the spectrum of the magnetic Schr\"odinger operator in an annulus depends on the cosine of the flux associated with the magnetic potential. This result follows from an analysis of a…

Mathematical Physics · Physics 2016-01-20 Gregory Eskin , James Ralston

We report on a magneto-photoluminescence study of isotopically pure 70Ge/Si self-assembled type-II quantum dots. Oscillatory behaviors attributed to the Aharonov-Bohm effect are simultaneously observed for the emission energy and intensity…

Tunneling conductance of an Aharonov-Bohm circuit including two quantum dots is calculated based on the general expression of the conductance in the linear response regime of the bias voltage. The calculation is performed in a wide…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Wataru Izumida , Osamu Sakai , Yukihiro Shimizu

We investigate the magnetoresistance of a side-gated ring structure etched out of single-layer graphene. We observe Aharonov-Bohm oscillations with about 5% visibility. We are able to change the relative phases of the wave functions in the…

Mesoscale and Nanoscale Physics · Physics 2010-05-18 Magdalena Huefner , Françoise Molitor , Arnhild Jacobsen , Alessandro Pioda , Christoph Stampfer , Klaus Ensslin , Thomas Ihn

The spin-resolved non-equilibrium real-time electron transport through a double-quantum-dot (DQD) Aharonov-Bohm (AB) interferometer with spin-orbit interaction (SOI) is explored. The SOI and AB interference in the real-time dynamics of spin…

Mesoscale and Nanoscale Physics · Physics 2014-10-22 Matisse Wei-Yuan Tu , Amnon Aharony , Wei-Min Zhang , Ora Entin-Wohlman

A numerical approach is employed to explain transport characteristics in realistic, quantum Hall based Aharonov-Bohm interferometers. First, the spatial distribution of incompressible strips, and thus the current channels, are obtained…

Mesoscale and Nanoscale Physics · Physics 2012-05-24 V. Kotimaki , E. Cicek , A. Siddiki , E. Rasanen

I argue that the metaphysical import of the Aharonov-Bohm effect has been overstated: correctly understood, it does not require either rejection of gauge invariance or any novel form of nonlocality. The conclusion that it does require one…

Quantum Physics · Physics 2014-07-21 David Wallace

We consider the application of the Fluctuation Dissipation Theorem (FDT) to the electrodynamics of Aharonov-Bohm (ABE), which differs from Maxwell's in that it allows for local non-conservation of charge. For the case of a system of…

General Physics · Physics 2026-04-20 F. Minotti , G. Modanese

We report a numerical study on Aharonov-Bohm (AB) effect and parity selective tunneling in pn junctions based on zigzag graphene nanoribbon rings. We find that when applying a magnetic field to the ring, the AB interference can reverse the…

Mesoscale and Nanoscale Physics · Physics 2014-05-02 Viet-Hung Nguyen , Yann-Michel Niquet , Philippe Dollfus

The analysis of the gauge principle as a mere passive symmetry requirement leads to the conclusion that the connection term in the covariant derivative is flat and that local phase transformations are without any empirical significance in…

High Energy Physics - Theory · Physics 2007-05-23 Holger Lyre

Linear response conductance of a two terminal Aharonov-Bohm (AB) interferometer is an even function of magnetic field. This "phase symmetry" is no expected to hold beyond the linear response regime. In simple AB rings the phase of the…

Mesoscale and Nanoscale Physics · Physics 2009-02-17 Vadim Puller , Yigal Meir , Martin Sigrist , Klaus Ensslin , Thomas Ihn

The fractional Aharonov-Bohm oscillation (FABO) of narrow quantum rings with two electrons has been studied and has been explained in an analytical way, the evolution of the period and amplitudes against the magnetic field can be exactly…

Mesoscale and Nanoscale Physics · Physics 2008-01-19 He Yanzhang , Bao Chengguang