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We study electron transport through multiply-connected mesoscopic geometries containing interacting quantum dots. Our formulation covers both equilibrium and non-equilibrium physics. We discuss the relation of coherent transport channels…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Jürgen König , Yuval Gefen

We study transport properties of a two-dimensional electron gas, placed in a classically strong perpendicular magnetic field and in constant and oscillating in-plane electric fields. The analysis is based on a quantum Boltzmann equation…

Mesoscale and Nanoscale Physics · Physics 2009-01-09 M. Khodas , M. G. Vavilov

We investigate the nonlinear current-voltage characteristic of mesoscopic conductors and the current generated through rectification of an alternating external bias. To leading order in applied voltages both the nonlinear and the rectified…

Mesoscale and Nanoscale Physics · Physics 2007-11-08 M. L. Polianski , M. Buttiker

This is a review of electronic quantum interference in mesoscopic ring structures based on graphene, with a focus on the interplay between the Aharonov-Bohm effect and the peculiar electronic and transport properties of this material. We…

Mesoscale and Nanoscale Physics · Physics 2012-08-06 Jörg Schelter , Patrik Recher , Björn Trauzettel

The effect of a microwave field in the frequency range from 54 to 140 $\mathrm{GHz}$ on the magnetotransport in a GaAs quantum well with AlAs/GaAs superlattice barriers and with an electron mobility no higher than $10^6$ $\mathrm{cm^2/Vs}$…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. A. Bykov , A. K. Bakarov , D. R. Islamov , A. I. Toropov

We investigate the quantum transport dynamics of electrons in a multi-path Aharonov-Bohm interferometer comprising several parallel graphene nanoribbons. At low magnetic field strengths, the conductance displays a complex oscillatory…

Mesoscale and Nanoscale Physics · Physics 2023-09-13 Cynthia I. Osuala , Zitao Tang , Stefan Strauf , Eui-Hyeok Yang , Chunlei Qu

Twisted cylindrical tubes are important model systems for nanostructures, heterostructures, and curved quantum devices. In this work, we investigate the quantum behavior of an electron confined to a twisted cylindrical surface. By first…

Quantum Physics · Physics 2025-11-07 G. M. Delgado , J. E. G. Silva

We consider quantum rings realized in materials where the dynamics of charge carriers mimics that of two-dimensional (2D) Dirac electrons. A general theoretical description of the ring-subband structure is developed that applies to a range…

Mesoscale and Nanoscale Physics · Physics 2018-05-17 L. Gioia , U. Zülicke , M. Governale , R. Winkler

The magnetotransport of two dimensional holes in a GaAs/AlGaAs heterostructure is studied experimentally and theoretically. Spin-orbit splitting of the heavy hole band is manifested at high carrier densities in two Shubnikov-de Haas…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yuval Yaish , Oleg Prus , Evgeny Buchstab , Gidi Ben Yoseph , Uri Sivan , Iddo Ussishkin , Ady Stern

The transport properties of a rectangular mesoscopic plaquette in the presence of a perpendicular magnetic field are studied in a tight-binding model with randomly distributed traps. The longitudinal and Hall resistances are calculted in…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 A. Aldea , P. Gartner , M. Nita

This work presents a theoretical study of the energy spectrum of GaAs/AlGaAs concentric double quantum rings, under an applied magnetic field directed perpendicular to the ring plane. The Schrodinger equation for this system is solved in a…

Mesoscale and Nanoscale Physics · Physics 2013-11-27 J. Costa e Silva , Andrey Chaves , G. A. Farias , M. H. Degani , R. Ferreira

The time dependent Schr\"odinger equation for an electron passing through a semiconductor quantum ring of nonzero width is solved in the presence of a perpendicular homogenous magnetic field. We study the effects of the Lorentz force on the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. Szafran , F. M. Peeters

We have investigated the illumination effect on the magnetotransport properties of a two-dimensional electron system at the LaAlO$_3$/SrTiO$_3$ interface. The illumination significantly reduces the zero-field sheet resistance, eliminates…

Quantum oscillations of nonlinear resistance are investigated in response to electric current and magnetic field applied perpendicular to single GaAs quantum wells with two populated subbands. At small magnetic fields current-induced…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Scott Dietrich , Sean Byrnes , Sergey Vitkalov , A. V. Goran , A. A. Bykov

We report a magnetotransport study of an ultra-high mobility ($\bar{\mu}\approx 25\times 10^6$\,cm$^2$\,V$^{-1}$\,s$^{-1}$) $n$-type GaAs quantum well up to 33 T. A strong linear magnetoresistance (LMR) of the order of 10$^5$ % is observed…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 T. Khouri , U. Zeitler , C. Reichl , W. Wegscheider , N. E. Hussey , S. Wiedmann , J. C. Maan

Mesoscopic conductors are electronic systems of sizes in between nano- and micrometers, and often of reduced dimensionality. In the phase-coherent regime at low temperatures, the conductance of these devices is governed by quantum…

Mesoscale and Nanoscale Physics · Physics 2008-03-27 Michael Wimmer , Matthias Scheid , Klaus Richter

We have calculated the resistivity of a GaAs\slash AlGaAs heterojunction in the presence of both an in--plane magnetic field and a weak perpendicular component using a semiclassical Boltzmann transport theory. These calculations take into…

Condensed Matter · Physics 2009-10-28 J. M. Heisz , E. Zaremba

Microwave-radiation induced giant magnetoresistance oscillations recently discovered in high-mobility two-dimensional electron systems in a magnetic field, are analyzed theoretically. Multiphoton-assisted impurity scatterings are shown to…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 X. L. Lei , S. Y. Liu

We use spin-density-functional theory within an envelope function approach to calculate electronic states in a GaAs/InAs core-shell nanowire pierced by an axial magnetic field. Our fully 3D quantum modeling includes explicitly the…

Mesoscale and Nanoscale Physics · Physics 2015-03-31 Miquel Royo , Carlos Segarra , Andrea Bertoni , Guido Goldoni , Josep Planelles

Experiments on high-quality GaAs (311)A two-dimensional holes at low temperatures reveal a remarkable dependence of the magnetoresistance, measured with an in-plane magnetic field ($B$), on the direction of $B$ relative to both the crystal…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. J. Papadakis , E. P. De Poortere , M. Shayegan , R. Winkler