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We study the electron/hole transport in puddle-disordered and rough graphene samples which are subject to in-plane magnetic fields. Previous treatments, mostly devoted to regimes where the electron/hole scattering wavelengths are larger…

Mesoscale and Nanoscale Physics · Physics 2015-04-15 R. R. Brandão , L. Moriconi

We discuss the consequences of the Aharonov-Bohm effect in setups involving several charged particles, wherein none of the charged particles encloses a closed loop around the magnetic flux. We show that in such setups, the AB phase is…

Quantum Physics · Physics 2009-11-11 A. Retzker , Y. Aharonov , A. Botero , S. Nussinov , B. Reznik

We study the effects of the perpendicular magnetic and Aharonov-Bohm (AB) flux fields on the energy levels of a two-dimensional (2D) Klein-Gordon (KG) particle subjects to equal scalar and vector pseudo-harmonic oscillator (PHO). We…

Quantum Physics · Physics 2012-12-10 Sameer M. Ikhdair , Majid Hamzavi

Using extensive tight-binding calculations, we investigate (including the spin) the Aharonov-Bohm (AB) effect in monolayer and bilayer trigonal and hexagonal graphene rings with zigzag boundary conditions. Unlike the previous literature, we…

Mesoscale and Nanoscale Physics · Physics 2012-04-19 Igor Romanovsky , Constantine Yannouleas , Uzi Landman

We study the electronic properties of 2D electron gas (2DEG) with quadratic dispersion and with relativistic dispersion as in graphene in the inhomogeneous magnetic field consisting of the Aharonov-Bohm flux and a constant background field.…

Strongly Correlated Electrons · Physics 2011-09-14 A. O. Slobodeniuk , S. G. Sharapov , V. M. Loktev

This paper presents a hydrodynamical view of the Aharonov-Bohm effect, using Nelson's formulation of quantum mechanics. Our aim is to compare our results with other systems and gain a better understanding of the mysteries behind this…

Quantum Physics · Physics 2023-07-25 Charalampos Antonakos , Andreas F. Terzis

Graphene's low-energy electronic excitations obey a 2+1 dimensional Dirac Hamiltonian. After extending this Hamiltonian to include interactions with a quantized electromagnetic field, we calculate the amplitude associated with the simplest,…

Mesoscale and Nanoscale Physics · Physics 2014-11-20 Matthew Mecklenburg , Jason Woo , B. C. Regan

We study the Aharonov-Bohm effect in a coupled 2$\times$2 quantum dot array with two-terminals. A striking conductance dip arising from the Fano interference is found as the energy levels of the intermediate dots are mismatched, which is…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Z. Y. Zeng , F. Claro , Alejandro Pérez

A monolayer of graphene irradiated with circularly polarized light suggests a unique platform for surface electromagnetic wave (plasmon-polariton) manipulation. In fact, the time periodicity of the Hamiltonian leads to a geometric…

Mesoscale and Nanoscale Physics · Physics 2015-02-19 Dmitry Yudin , Olle Eriksson , Mikhail I. Katsnelson

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

The analysis of a previous paper, in which it was shown that the energy for the Aharonov-Bohm effect could be traced to the interaction energy between the magnetic field of the electron and the background magnetic field, is extended to…

Quantum Physics · Physics 2023-05-03 L. O'Raifeartaigh , N. Straumann , A. Wipf

The electronic behavior in graphene under arbitrary uniaxial deformations, such as foldings or flexural fields is studied by including in the Dirac equation pseudoelectromagnetic fields. General foldings are thus studied by showing that…

Mesoscale and Nanoscale Physics · Physics 2023-03-23 Abdiel E. Champo , Gerardo G. Naumis

Partial wave theory of a three dmensional scattering problem for an arbitray short range potential and a nonlocal Aharonov-Bohm magnetic flux is established. The scattering process of a ``hard shere'' like potential and the magnetic flux is…

Quantum Physics · Physics 2009-11-10 De-Hone Lin

We have studied quantum interference between electrons and holes in a split-ring gold interferometer with graphene arms, one of which contained a pn junction. The carrier type, the pn junction and the phase of the oscillations in a magnetic…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Atikur Rahman , Janice Wynn Guikema , Soo Hyung Lee , Nina Markovic

We compute the magnetic response of hollow semimetal cylinders and rings to the presence of an axial Aharonov-Bohm magnetic flux, in the absence of interactions. We predict nullification of the Aharonov-Bohm effect for a class of dispersion…

Mesoscale and Nanoscale Physics · Physics 2025-03-03 Eugene B. Kolomeisky , Joseph P. Straley

We study a generalization of Aharonov-Bohm effect, the potential effect. The discussion is focused on field-free effects in simply connected region, which obviously can not have any local field-flux. Among the published discussions about…

Quantum Physics · Physics 2016-08-15 Jùn Líu

Observations of electron-hole asymmetry in transport through graphene devices at high magnetic field challenge prevalent models of the graphene quantum Hall effect. Here, we study this asymmetry both in conventional magnetotransport and in…

Mesoscale and Nanoscale Physics · Physics 2021-11-23 Nicolas Moreau , Boris Brun , Sowmya Somanchi , Kenji Watanabe , Takashi Taniguchi , Christoph Stampfer , Benoît Hackens

Effective quantum field theoretical continuum models for graphene are investigated. The models include a complex scalar field and a vector gauge field. Different gauge theories are considered and their gap patterns for the scalar, vector,…

Materials Science · Physics 2011-05-27 O. Oliveira , C. E. Cordeiro , A. Delfino , W. de Paula , T. Frederico

On the basis of the Bogolubov-de Gennes theory we develop an analytical description of low-energy extended quasiparticle states around an isolated flux line in a superconductor with gap nodes. The wavefunctions of these excitations and the…

Superconductivity · Physics 2009-10-31 A. S. Mel'nikov

Low frequency plasma oscillations in superconducting tubes are considered. The emergence of two different dimensionality regimes of plasma oscillations in tubes, exhibiting a crossover from one-dimensional to two-dimensional behavior,…

Mesoscale and Nanoscale Physics · Physics 2008-12-25 E. N. Bogachek , I. A. Romanovsky , Uzi Landman