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Quantum scattering by a one-dimensional odd potential proportional to the square of the distance to the origin is considered. The Schr\"odinger equation is solved exactly and explicit algebraic expressions of the wavefunction are given. A…

Quantum Physics · Physics 2014-01-27 Erasmo M. Ferreira , Javier Sesma

We study quantum transport and scattering of massless Dirac fermions by spatially localized static magnetic fields. The employed model describes in a unified manner the effects of orbital magnetic fields, Zeeman and exchange fields in…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 A. Zazunov , A. Kundu , A. Hütten , R. Egger

By a singular gauge transformation, the quasi-particle transport in the mixed state of high T_{c} cuprates is mapped into charge-neutral composite Dirac fermion moving in short-range correlated random scalar and long-range correlated vector…

Superconductivity · Physics 2009-10-31 Jinwu Ye

Wave propagation through waveguides, quantum wires or films with a modest amount of disorder is in the semi-ballistic regime when in the transversal direction(s) almost no scattering occurs, while in the long direction(s) there is so much…

Condensed Matter · Physics 2009-10-28 A. Mosk , Th. M. Nieuwenhuizen , C. Barnes

We develop a method to calculate electronic transport properties through a mesoscopic scattering region in the presence of a series of time-periodic potentials. Using the method, the quantum charge pumping driven by time-periodic potentials…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Shi-Liang Zhu , Z. D. Wang

We study the transport of a quantum particle through square lattices of various sizes by employing the tight-binding Hamiltonian from quantum percolation. Input and output semi-infinite chains are attached to the lattice either by diagonal…

Statistical Mechanics · Physics 2009-11-10 E. Cuansing , H. Nakanishi

A method is proposed for studying wave and particle transport in disordered waveguide systems of dimension higher than unity by means of exact one-dimensionalization of the dynamic equations in the mode representation. As a particular case,…

Disordered Systems and Neural Networks · Physics 2013-01-31 Yu. V. Tarasov

A microscopic picture of electron-electron pair scattering in single mode quantum wires is introduced which includes electron spin. A new source of `excess' noise for hot carriers is presented. We show that zero magnetic field `spin'…

Condensed Matter · Physics 2009-10-22 Gerhard Fasol , Hiroyuki Sakaki

There is great interest in the development of novel nanomachines that use charge, spin, or energy transport, to enable new sensors with unprecedented measurement capabilities. Electrical and thermal transport in these mesoscopic systems…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Shi-Xian Qu , Michael R. Geller

Quantum spin-Hall edges are envisaged as next-generation transistors, yet they exhibit dissipationless transport only over short distances. Here we show that in a diffusive sample, where charge puddles with odd spin cause back-scattering, a…

Mesoscale and Nanoscale Physics · Physics 2021-08-24 Zhanning Wang , Pankaj Bhalla , Mark Edmonds , Michael S. Fuhrer , Dimitrie Culcer

We propose that a magnetic quantum wire composed of magnetic and non-magnetic atomic sites can be used as a spin filter for a wide range of applied bias voltage. We adopt a simple tight-binding Hamiltonian to describe the model where the…

Mesoscale and Nanoscale Physics · Physics 2010-03-15 Moumita Dey , Santanu K. Maiti , S. N. Karmakar

We develop a field theoretical approach based on the temporary basis description as a tool to investigate the transmission properties of a time-driven quantum device. It employs a perturbative scheme for the calculation of the transmission…

We demonstrate the emergence of the quantum Hall (QH) hierarchy in a 2D model of coupled quantum wires in a perpendicular magnetic field. At commensurate values of the magnetic field, the system can develop instabilities to appropriate…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 C. L. Kane , Ranjan Mukhopadhyay , T. C. Lubensky

Scattering of electrons from chiral spin textures such as the skyrmions is an emerging research area due to its richness in topological quantum transport, which is significant for spintronic devices. We study the dynamical process of…

Mesoscale and Nanoscale Physics · Physics 2026-03-03 Hareram Swain , Arijit Mandal , S. Satpathy , B. R. K. Nanda

We investigate the distribution of the electron density and the potential in a quantum wire coupled to reservoirs, treating this structure as a unified quantum system and taking into account the Coulomb interaction of electrons. The…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. A. Sablikov , S. V. Polyakov , M. Buttiker

Here we study incoherent transport through molecular wire treated as a linear chain of absorbers, where the phase-breaking processes are modeled by the use of imaginary point-like potentials. The calculations are performed within a…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Kamil Walczak

Electronic transmission in bent quantum wires modeled by the tight binding Hamiltonian, and clamped between ideal, semi-infinite leads is studied. The effect of `bending' the chain is simulated by introducing a non-zero hopping between the…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Arunava Chakrabarti

Localized scattering phenomena may result in the formation of stationary matter waves originating from a compact region in physical space. Mathematically, such waves are advantageously expressed in terms of quantum sources that are…

Quantum Physics · Physics 2007-05-23 Tobias Kramer , Christian Bracher , Manfred Kleber

We investigate a two-component, cylindrical, quasi-one-dimensional quantum plasma subjected to a {\em radial} confining harmonic potential and an applied magnetic field in the symmetric gauge. It is demonstrated that such a system as can be…

Mesoscale and Nanoscale Physics · Physics 2013-06-18 Manvir S. Kushwaha

Electrical conduction is studied along parabolically confined quasi-one dimensional channels, in the framework of a revised linear-response theory, for elastic scattering. For zero magnetic field an explicit multichannel expression for the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 S. Guillon , P. Vasilopoulos , C. M. Van Vliet
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