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This tutorial article gives an introduction to the methods needed to treat interacting electrons in a quantum wire with a single occupied band. Since one-dimensional Fermions cannot be described in terms of noninteracting quasiparticles,…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Hermann Grabert

We study the transport of electrons through a single-mode quantum ring with electric field induced Rashba spin-orbit interaction that is subjected to an in-plane magnetic field and weakly coupled to electron reservoirs. Modelling a ring…

Mesoscale and Nanoscale Physics · Physics 2013-09-09 Fateme K. Joibari , Ya. M. Blanter , Gerrit E. W. Bauer

Spin-dependent electron transport in a periodically stubbed quantum wire in the presence of Rashba spin-orbit interaction (SOI) is studied via the nonequilibrium Green's function method combined with the Landauer-Buttiker formalism. The…

Mesoscale and Nanoscale Physics · Physics 2014-02-20 Xianbo Xiao , Zhaoxia Chen , Zhiming Rao , Wenjie Nie , Guanghui Zhou

The Rashba Hamiltonian describes the splitting of the conduction band as a result of spin-orbit coupling in the presence of an external field and is commonly used to model the electronic structure of confined narrow-gap semiconductors. Due…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Laurens W. Molenkamp , Georg Schmidt , Gerrit E. W. Bauer

We study the performance of a quantum wire spin filter that is based on the Rashba spin-orbit interaction in the presence of the electron-electron interaction. The finite length wire is attached to two semi-infinite nonmagnetic leads.…

Strongly Correlated Electrons · Physics 2009-11-13 J. E. Birkholz , V. Meden

We study the ground-state properties of electrons confined to a quantum wire and subject to a smoothly modulated Rashba spin-orbit coupling. When the period of the modulation becomes commensurate with the band filling, the Rashba coupling…

Mesoscale and Nanoscale Physics · Physics 2009-07-28 G. I. Japaridze , Henrik Johannesson , Alvaro Ferraz

Quantum interference effects in rings provide suitable means for controlling spin at mesoscopic scales. Here we apply such control mechanisms to coherent spin-dependent transport in one- and two-dimensional rings subject to Rashba…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Diego Frustaglia , Klaus Richter

We analyze the linear conductance of a semiconductor quantum wire containing a region where a local Rashba spin-orbit interaction is present. We show that Fano lineshapes appear in the conductance due to the formation of quasi bound states…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Llorens Serra , David Sanchez

The band structure of a quantum wire with the Rashba spin-orbit coupling develops a pseudogap in the presence of a magnetic field along the wire. In such a system spin mixing at the Fermi wavevectors $-k_F$ and $k_F$ can be different. We…

Strongly Correlated Electrons · Physics 2009-11-11 Hyun C. Lee , S. -R. Eric Yang

We perform a numerical study on the spin-resolved transport in a quantum wire (QW) under the modulation of both Rashba spin-orbit coupling (SOC) and a perpendicular magnetic field (MF) by adopting the developed Usuki transfer-matrix method…

Mesoscale and Nanoscale Physics · Physics 2014-06-13 Xianbo Xiao , Zhaoxia Chen , Wenjie Nie , Guanghui Zhou , Fei Li

We show that Rashba spin-orbit coupling may result in an energy gap in the spectrum of electrons in a two-mode quantum wire if a suitable confining potential is chosen. This leads to a dip in the conductance and a spike in the spin current…

Mesoscale and Nanoscale Physics · Physics 2014-02-03 K. E. Nagaev , A. S. Goremykina

We present the analytical result of the expectation value of spin resulting from an injected spin polarized electron into a semi-infinitely extended 2DEG plane with [001] growth geometry via ideal quantum point contact. Both the Rashba and…

Other Condensed Matter · Physics 2007-05-23 Ming-Hao Liu , Ching-Ray Chang , Son-Hsien Chen

We calculate the finite-temperature conductance of clean, weakly interacting one-dimensional quantum wires subject to Rashba spin-orbit coupling and a magnetic field. For chemical potentials near the center of the Zeeman gap ($\mu = 0$),…

Mesoscale and Nanoscale Physics · Physics 2014-01-07 Thomas L. Schmidt

We analyze spin-dependent transport through spin valves composed of an interacting quantum dot coupled to two ferromagnetic leads. The spin on the quantum dot and the linear conductance as a function of the relative angle $\theta$ of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Jürgen König , Jan Martinek

The differential cross section for resonant Raman scattering from the collective modes in a one dimensional system of interacting electrons is calculated non-perturbatively using the bosonization method. The results indicate that resonant…

Strongly Correlated Electrons · Physics 2009-10-31 B. Kramer , M. Sassetti

We show that spin-flip rotation in a semiconductor quantum wire, caused by the Rashba and the Dresselhaus interactions (both of arbitrary strengths), can be suppressed by dint of an in-plane magnetic field. We found a new type of symmetry,…

Mesoscale and Nanoscale Physics · Physics 2009-05-07 R. G. Nazmitdinov , K. N. Pichugin , M. Valin-Rodriguez

We consider quasiballistic electron transmission in a one-dimensional quantum wire subject to both time-independent and periodic potentials of a finger gate that results in a coordinate- and time-dependent Rashba-type spin-orbit coupling. A…

Mesoscale and Nanoscale Physics · Physics 2013-10-11 Almas F. Sadreev , E. Ya. Sherman

In this work we study the effects of a longitudinal periodic potential on a parabolic quantum wire defined in a two-dimensional electron gas with Rashba spin-orbit interaction. For an infinite wire superlattice we find, by direct…

Mesoscale and Nanoscale Physics · Physics 2012-05-01 Gunnar Thorgilsson , J. Carlos Egues , Daniel Loss , Sigurdur I. Erlingsson

We present both theory and numerical-computation results for the transmission and reflection probability currents of a charged particle across a potential step in the presence of a Rashba spin-orbit interaction. By varying kinetic energy…

Mesoscale and Nanoscale Physics · Physics 2022-03-22 Po-Hsin Shih , Godfrey Gumbs , Danhong Huang , Andrii Iurov , Yonatan Abranyos

We discuss the calculation of evanescent states in quasi-one-dimensional quantum wires in the presence of Rashba spin-orbit interaction. We suggest a computational algorithm devised for cases in which longitudinal and transverse motions are…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Llorens Serra , David Sanchez , Rosa Lopez