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We review what we consider to be the minimal model of quantized conductance in a finite interacting quantum wire. Our approach utilizes the simplicity of the equation of motion description to both deal with general spatially dependent…

Strongly Correlated Electrons · Physics 2015-05-19 Ronny Thomale , Alexander Seidel

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

We study the classical and quantum transport processes on some finite networks and model them by continuous-time random walks (CTRW) and continuous-time quantum walks (CTQW), respectively. We calculate the classical and quantum transition…

Quantum Physics · Physics 2011-04-05 S. Salimi , R. Radgohar , M. M. Soltanzadeh

We theoretically investigate the electron transport properties for a semiconductor quantum wire containing a single finite-size attractive impurity under an external terahertz electromagnetic field illumination in the ballistic limit.…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Guanghui Zhou , Yuan Li , Fang Cheng , Wenfu Liao

We consider a phase-coherent system of two parallel quantum wires that are coupled via a tunneling barrier of finite length. The usual perturbative treatment of tunneling fails in this case, even in the diffusive limit, once the length L of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Daniel Boese , Michele Governale , A. Rosch , U. Zuelicke

The ballistic conductance through a device consisting of quantum wires, to which two stubs are attached laterally, is calculated assuming parabolic confining potentials of frequencies $\omega_w$ for the wires and $\omega_s$ for the stubs.…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 R. Akis , P. Vasilopoulos , P. Debray

We model quantum transport, described by continuous-time quantum walks (CTQW), on deterministic Sierpinski fractals, differentiating between Sierpinski gaskets and Sierpinski carpets, along with their dual structures. The transport…

Quantum Physics · Physics 2014-09-17 Zoltán Darázs , Anastasiia Anishchenko , Tamás Kiss , Alexander Blumen , Oliver Mülken

We present an open-system quantum-mechanical 3D real-space study of the conduction band structure and conductive properties of two semiconductor systems, interesting for their beyond-Moore and quantum computing applications: phosphorus…

Mesoscale and Nanoscale Physics · Physics 2023-12-08 Juan P. Mendez , Denis Mamaluy

The collective charge density wave (CDW) conduction is modulated by a transverse single-particle current in a transistor-like device. Nonequilibrium conditions in this geometry lead to an exponential reduction of the depinning threshold,…

Strongly Correlated Electrons · Physics 2009-10-31 N. Markovic , M. A. H. Dohmen , H. S. J. van der Zant

We consider an ideal parabolic quantum wire in a perpendicular magnetic field. A simple Gaussian shaped scattering potential well or hill is flashed softly on and off with its maximum at $t=0$, mimicking a temporary broadening or narrowing…

Mesoscale and Nanoscale Physics · Physics 2008-07-29 Vidar Gudmundsson , Gunnar Thorgilsson , Chi-Shung Tang , Valeriu Moldoveanu

Domain walls in fractional quantum Hall ferromagnets are gapless helical one-dimensional channels formed at the boundaries of topologically distinct quantum Hall (QH) liquids. Na\"{i}vely, these helical domain walls (hDWs) constitute two…

Mesoscale and Nanoscale Physics · Physics 2021-09-23 Ying Wang , Vadim Ponomarenko , Kenneth W. West , Kirk Baldwin , Loren N. Pfeiffer , Yuli Lyanda-Geller , Leonid P. Rokhinson

Quantum walk (QW), which is considered as the quantum counterpart of the classical random walk (CRW), is actually the quantum extension of CRW from the single-coin interpretation. The sequential unitary evolution engenders correlation…

Quantum Physics · Physics 2020-03-11 Jin-Fu Chen , Yu-Han Ma , Chang-Pu Sun

We derive the convective terms in the damping which determine the structure of the moving charge-density wave (CDW), and study the effect of a current flowing transverse to conducting chains on the CDW dynamics along the chains. In contrast…

Strongly Correlated Electrons · Physics 2009-10-31 S. N. Artemenko , S. V. Zaitsev-Zotov , V. E. Minakova , P. Monceau

Quantum interference (QI) in two types of deformed carbon nanotubes (CNTs), i.e., axially stretched and AFM tip-deformed CNTs, has been investigated by the pi-electron only and four-orbital tight-binding (TB) method. It is found that the…

Materials Science · Physics 2007-05-23 Wei Fa , Jinming Dong

The coherent quantum transport of matter wave through a ring-shaped circuit attached to leads defines an iconic system in mesoscopic physics that has allowed both to explore fundamental questions in quantum science and to draw important…

Quantum Gases · Physics 2025-06-17 Francesco Perciavalle , Oliver Morsch , Davide Rossini , Luigi Amico

Quasi-ballistic semiconductor quantum wires are exposed to localized perpendicular magnetic fields, also known as magnetic barriers. Pronounced, reproducible conductance fluctuations as a function of the magnetic barrier amplitude are…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. Hugger , Hengyi Xu , A. Tarasov , M. Cerchez , T. Heinzel , I. V. Zozoulenko , D. Reuter , A. D. Wieck

The study of quantum walk processes has been widely divided into two standard variants, the discrete-time quantum walk (DTQW) and the continuous-time quantum walk (CTQW). The connection between the two variants has been established by…

Quantum Physics · Physics 2008-11-08 C. M. Chandrashekar

We consider scattering and transport in interacting quantum wires that are connected to leads. Such a setup can be represented by a minimal model of interacting fermions with inhomogeneities in the form of sudden changes in interaction…

Strongly Correlated Electrons · Physics 2012-09-10 N. Sedlmayr , J. Ohst , I. Affleck , J. Sirker , S. Eggert

We model electronic transport through a double quantum wire in an external homogeneous perpendicular magnetic field using a scattering formalism built on the Lippmann-Schwinger equation. In the scattering region a window is opened between…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Vidar Gudmundsson , Chi-Shung Tang

Continuous-time quantum walks (CTQWs) provide a valuable model for quantum transport, universal quantum computation and quantum spatial search, among others. Recently, the empowering role of new degrees of freedom in the Hamiltonian…

Quantum Physics · Physics 2022-03-23 Massimo Frigerio , Claudia Benedetti , Stefano Olivares , Matteo G. A. Paris
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