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The boundaries of waveguides and nanowires have drastic influence on their coherent scattering properties. Designing the boundary profile is thus a promising approach for transmission and band-gap engineering with many applications. By…

Mesoscale and Nanoscale Physics · Physics 2012-12-04 O. Dietz , H. -J. Stöckmann , U. Kuhl , F. M. Izrailev , N. M. Makarov , J. Doppler , F. Libisch , S. Rotter

Mathematical settings in which heterogeneous structures affect electron transport through a tube-shaped quantum waveguide are studied, highlighting the interaction between heterogeneities and geometric parameters like curvature and torsion.…

Analysis of PDEs · Mathematics 2013-09-17 Carolin Kreisbeck , Luísa Mascarenhas

We consider the physics of transport through quantum dots in the presence of two tunneling paths. The first path sees electrons hopping on and off the dot while the second path is modeled through a potential scattering-like term. To study…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Robert M. Konik

A quantum wire is spatially displaced by suitable electric fields with respect to the scatterers inside a semiconductor crystal. As a function of the wire position, the low-temperature resistance shows reproducible fluctuations. Their…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 T. Heinzel , G. Salis , R. Held , S. Luescher , K. Ensslin , W. Wegscheider , M. Bichler

The motion of a quantum particle constrained to a two-dimensional non-compact Riemannian manifold with non-trivial metric can be described by a flat-space Schroedinger-type equation at the cost of introducing local mass and metric and…

Mesoscale and Nanoscale Physics · Physics 2025-12-19 Benjamin Schwager , Theresa Appel , Jamal Berakdar

We study the influence of mean field cubic nonlinearity on Aharonov-Bohm caging in a diamond lattice with synthetic magnetic flux. For sufficiently weak nonlinearities the Aharonov-Bohm caging persists as periodic nonlinear breathing…

Pattern Formation and Solitons · Physics 2019-01-23 Goran Gligorić , Petra P. Beličev , Daniel Leykam , Aleksandra Maluckov

We study numerically scattering and transport statistical properties of tight-binding random networks characterized by the number of nodes $N$ and the average connectivity $\alpha$. We use a scattering approach to electronic transport and…

Disordered Systems and Neural Networks · Physics 2013-07-23 A. J. Martinez-Mendoza , A. Alcazar-Lopez , J. A. Mendez-Bermudez

Ballistic spin transport through waveguides, with symmetric or asymmetric double stubs attached to them periodically, is studied systematically in the presence of a weak spin-orbit coupling that makes the electrons precess. By an…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 X. F. Wang , P. Vasilopoulos , F. M. Peeters

Electron transport through multi-terminal rectangular arrays of quantum rings is studied in the presence of Rashba-type spin-orbit interaction (SOI) and of a perpendicular magnetic field. Using the analytic expressions for the transmission…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Orsolya Kalman , Peter Foldi , Mihaly G. Benedict , Francois M. Peeters

A one-dimensional, two-channel quantum wire is studied in the effective non-Hermitian Hamiltonian framework. Analytical expressions are derived for the band structure of the isolated wire. Quantum states and transport properties of the wire…

Mesoscale and Nanoscale Physics · Physics 2016-01-27 Amin Tayebi , Vladimir Zelevinsky

We investigate ballistic transport and quantum interference in a nanoscale quantum wire loop fab-ricated as a GaAs/AlGaAs field-effect heterostructure. Four-terminal measurements of current and voltage characteristics as a function of top…

Mesoscale and Nanoscale Physics · Physics 2011-11-08 S. S. Buchholz , S. F. Fischer , U. Kunze , D. Reuter , A. D. Wieck

A mechanism to modify the energy band structure is proposed by considering a chain of periodic scatterers forming a linear lattice around which an external cylindrical trapping potential is applied along the chain axis. When this trapping…

Quantum Physics · Physics 2021-07-01 Ji il Kim

One-dimensional electron systems interacting with long-range Coulomb forces (quantum wires) show a Wigner crystal structure. We investigate in this paper the transport properties of such a Wigner crystal in the presence of impurities.…

Condensed Matter · Physics 2009-10-22 H. Maurey , T. Giamarchi

Transport properties in mesoscopic networks are investigated, where the strength of the (Rashba-type) spin-orbit coupling is assumed to be tuned with external gate voltages. We analyze in detail to what extent the ideal behavior and…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Peter Foldi , Orsolya Kalman , F. M. Peeters

It is shown that the potential perturbation that shifts a chosen standing wave in space is a block of potential barrier and well for every wave bump between neighbouring knots. The algorithms shifting the range of the primary localization…

Quantum Physics · Physics 2015-06-26 V. M. Chabanov , B. N. Zakhariev

Non-zero curvature in a waveguide leads to the appearance of an attractive quantum potential which crucially affects the dynamics in matter-wave circuits. Using methods of supersymmetric quantum mechanics, pairs of bent waveguides are found…

Quantum Physics · Physics 2014-06-16 Adolfo del Campo , Malcolm G. Boshier , Avadh Saxena

We have theoretically investigated the transport properties of a ring-shaped array of small tunnel junctions, which is weakly coupled to the drain electrode. We have found that the long range interaction together with the semi-isolation of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Mincheol Shin , Seongjae Lee , Kyoung Wan Park , El-Hang Lee

We investigate the occurrence of bound states in the continuum (BIC's) in serial structures of quantum dots coupled to an external waveguide, when some characteristic length of the system is changed. By resorting to a multichannel…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 G. Cattapan , P. Lotti

This paper addresses the scattering of a beam of charged particles by an infinitely long magnetic string in the context of the hydrodynamical approach to quantum mechanics. The scattering is qualitatively analyzed by two approaches. In the…

Dynamical Systems · Mathematics 2007-05-23 Luis Fernando Mello , Yuri Cândido Ribeiro

The localization of electrons caused by atomic disorder is a well-known phenomenon. However, what circumstances allow electrons to remain delocalized and retain band-like characteristics even when the crystal structure is completely absent,…