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The electron transmission through a {\it closed} Aharonov-Bohm mesoscopic solid-state interferometer, with a quantum dot (QD) on one of the paths, is calculated exactly for a simple model. Although the conductance is an even function of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Amnon Aharony , Ora Entin-Wohlman , Yoseph Imry

In this work, the classical and the quantum capacitances are calculated for a Fabry-P\'{e}rot interferometer operating in the integer quantized Hall regime. We first consider a rotationally symmetric electrostatic confinement potential and…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 O. Kilicoglu , D. Eksi , A. Siddiki

We consider a one-dimensional spin-orbit-coupled nanowire quantum dot, driven by external electric and magnetic fields, and theoretically formulate an electric mechanism to interfere its electron orbits. Owing to the existence of spin-orbit…

Quantum Physics · Physics 2016-12-20 Jingtao Fan , Yuansen Chen , Gang Chen , Liantuan Xiao , Suotang Jia , Franco Nori

In a quantum Hall interferometer, the dependence of the signal on source-drain voltage is controlled by details of the edge physics, such as the velocities of edge modes and the interaction between them and with screening layers. Such…

Mesoscale and Nanoscale Physics · Physics 2024-08-30 Zezhu Wei , D. E. Feldman , Bertrand I. Halperin

Electronic Fabry-P{\'e}rot interferometry is a powerful method to probe quasiparticle charge and anyonic braiding statistics in the fractional quantum Hall regime. We extend this technique to the hierarchy $\nu = 2/5$ fractional quantum…

Mesoscale and Nanoscale Physics · Physics 2023-04-26 James Nakamura , Shuang Liang , Geoffrey C. Gardner , Michael J. Manfra

Quasi--one dimensional edge channels are formed at the boundary of a two-dimensional electron system subject to a strong perpendicular magnetic field. We consider the effect of Rashba spin--orbit coupling, induced by structural inversion…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Marco G. Pala , Michele Governale , Ulrich Zülicke , Giuseppe Iannaccone

We studied the edge states and transverse electron focusing in the presence of spin-orbit interaction in a two dimensional electron gas. Assuming strong spin-orbit coupling we derived semiclassical quantization conditions to describe the…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Andor Kormanyos

An interesting property of zigzag graphene nanoribbons is the presence of edge states which are extended along its borders but localized in the transverse direction. We show that because of this property, electron transport through an…

Mesoscale and Nanoscale Physics · Physics 2009-09-02 Gonzalo Usaj

In this paper we study the influence of an electric field on a two dimen-sional waveguide. We show that bound states that occur under a geometrical deformation of the guide turn into resonances when we apply an electric field of small…

Spectral Theory · Mathematics 2016-06-27 Philippe Briet , Mounira Gharsalli

We examine spin dependent transport in a quantum interferometer composed of magnetic atomic sites based on transfer matrix formalism. The interferometer, threaded by a magnetic flux $\phi$, is symmetrically attached to two semi-infinite…

Mesoscale and Nanoscale Physics · Physics 2011-03-24 Moumita Dey , Santanu K. Maiti , S. N. Karmakar

We report experiments on Fabry-Perot electron interferometers in the integer quantum Hall regime. The GaAs/AlGaAs heterostructure devices consist of two constrictions defined by etch trenches in 2D electron layer, enclosing an approximately…

Mesoscale and Nanoscale Physics · Physics 2007-10-08 F. E. Camino , Wei Zhou , V. J. Goldman

The wave nature of electrons in semiconductor nanostructures results in spatial interference effects similar to those exhibited by coherent light. The presence of spin-orbit coupling renders interference in spin space and in real space…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 U. Zuelicke

We consider electronic current transport through a ballistic one-dimensional quantum wire connected to two ferromagnetic leads. We study the effects of the spin-dependence of interfacial phase shifts (SDIPS) acquired by electrons upon…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Cottet , T. Kontos , W. Belzig , C. Schonenberger , C. Bruder

The edges of a two-dimensional electron gas (2DEG) in the quantum Hall effect (QHE) regime are divided into alternating metallic and insulating strips, with their widths determined by the energy gaps of the QHE states and the electrostatic…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Keji Lai , Worasom Kundhikanjana , Michael A. Kelly , Zhi-Xun Shen , Javad Shabani , Mansour Shayegan

Sharp localization transitions of chiral edge states in disordered quantum wires, subject to strong magnetic field, are shown to be driven by crossovers from two- to one-dimensional localization of bulk states. As a result, the two-terminal…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. Kettemann , B. Kramer , T. Ohtsuki

We experimentally study quantized conductance in an electrostatically defined constriction in a high-mobility InAs two-dimensional electron gas. A parallel magnetic field lifts the spin degeneracy and allows for the observation of plateaus…

We investigate magnetic deflection of currents that flow across the Aharonov-Bohm interferom- eters defined in graphene. We consider devices induced by closed n-p junctions in nanoribbons as well as etched quantum rings. The deflection…

Mesoscale and Nanoscale Physics · Physics 2016-12-02 Alina Mrenca-Kolasinska , Bartlomiej Szafran

We investigate magneto-transport through a 1.6 \mu m wide quantum dot (QD) with adjacent charge detector, for different integer filling factors in the QD and constrictions. When this system is operated as a Fabry-P\'erot interferometer,…

Mesoscale and Nanoscale Physics · Physics 2013-08-13 Stephan Baer , Clemens Rössler , Thomas Ihn , Klaus Ensslin , Christian Reichl , Werner Wegscheider

We investigate the dynamics of charge--states coherence in a degenerate double--dot Aharonov--Bohm interferometer with finite interdot Coulomb interactions. The quantum coherence of the charge states is found to be sensitive to the…

Mesoscale and Nanoscale Physics · Physics 2018-05-09 Jinshuang Jin , Shikuan Wang , Jiahuan Zhou , Wei-Min Zhang , YiJing Yan

Few-electron systems confined in a quantum dot laterally coupled to a surrounding quantum ring in the presence of an external magnetic field are studied by exact diagonalization. The distribution of electrons between the dot and the ring is…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 B. Szafran , F. M. Peeters , S. Bednarek