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The notion of zitterbewegung is a long-standing prediction of relativistic quantum mechanics. Here we extend earlier theoretical studies on this phenomenon for the case of III-V zinc-blende semiconductors which exhibit particularly strong…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 John Schliemann , Daniel Loss , R. M. Westervelt

We discuss the electronic properties of graphene and graphene nanoribbons including "pseudo-Rashba" spin-orbit coupling. After summarizing the bulk properties, we first analyze the scattering behavior close to an infinite mass and zigzag…

Mesoscale and Nanoscale Physics · Physics 2009-11-03 Tobias Stauber , John Schliemann

We present a unified treatment of Zitterbewegung phenomena for a wide class of systems including spintronic, graphene, and superconducting systems. We derive an explicit expression for the time-dependence of the position operator of the…

Mesoscale and Nanoscale Physics · Physics 2008-01-15 József Cserti , Gyula Dávid

Bilayer electron-hole systems with unequal electron and hole densities are expected to have exciton condensate ground states with spontaneous spin-polarization in both conduction and valence bands. In the absence of spin-orbit and…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Y. -P. Shim , A. H. MacDonald

We review recent research on Zitterbewegung (ZB, trembling motion) of electrons in semiconductors. A brief history of the subject is presented, the trembling motion in semirelativistic and spin systems is considered and its main features…

Mesoscale and Nanoscale Physics · Physics 2011-03-22 Wlodek Zawadzki , Tomasz M. Rusin

In the Dirac theory for the motion of free relativistic electrons, highly oscillatory components appear in the time evolution of physical observables such as position, velocity, and spin angular momentum. This effect is known as…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 R. Winkler , U. Zülicke , Jens Bolte

The Hawking radiation can be viewed from very different perspectives, not all of which can be proved to be rigorously equivalent to one another. On the other hand, an old interest in the zitterbewegung (ZB) of the Dirac electron has…

Quantum Physics · Physics 2011-08-03 Zhi-Yong Wang , Cai-Dong Xiong , Qi Qiu

We study the scattering of an electron in a definite state of spin at an interface of an hybrid system with a Rashba spin-orbit coupling on one side. Out of the normal incidence the double refraction phenomenon appears, with one or two…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. Marigliano Ramaglia , V. Cataudella , G. De Filippis , C. A. Perroni , F. Ventriglia

We study the $zitterbewegung$ of a heavy hole in presence of both cubic Rashba and cubic Dresselhaus spin-orbit interactions. On contrary to the electronic case, $zitterbewegung$ does not vanish for equal strength of Rashba and Dresselhaus…

Mesoscale and Nanoscale Physics · Physics 2015-09-15 Tutul Biswas , Sandip Chowdhury , Tarun Kanti Ghosh

Electric weak links, the term used for those parts of an electrical circuit that provide most of the resistance against the flow of an electrical current, are important elements of many nanodevices. Quantum dots, nanowires and…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 R. I. Shekhter , O. Entin-Wohlman , M. Jonson , A. Aharony

The Rashba effect is one of the most striking manifestations of spin-orbit coupling in solids, and provides a cornerstone for the burgeoning field of semiconductor spintronics. It is typically assumed to manifest as a momentum-dependent…

We show theoretically that nonrelativistic nearly-free electrons in solids should experience a trembling motion (Zitterbewegung, ZB) in absence of external fields, similarly to relativistic electrons in vacuum. The Zitterbewegung is…

Materials Science · Physics 2007-05-23 Tomasz M. Rusin Wlodek Zawadzki

Zitterbewegung (ZB) is a phenomenon in relativistic quantum systems where the electron wave packet exhibits a trembling or oscillating behavior during its motion, caused by its interaction or coupling with the negative energy state. To…

Quantum Physics · Physics 2017-02-01 Guanglei Wang , Hongya Xu , Liang Huang , Ying-Cheng Lai

We show that when an electron or photon propagates in a cylindrically symmetric waveguide, it experiences both a zitterbewegung effect and a spin-orbit interaction leading to identical propagation dynamics for both particles. Applying a…

Quantum Physics · Physics 2015-06-17 C. C. Leary , Karl H. Smith

We demonstrate experimentally and theoretically that two-dimensional (2D) heavy hole systems in single heterostructures exhibit a \emph{decrease} in spin-orbit interaction-induced spin splitting with an increase in perpendicular electric…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 B. Habib , E. Tutuc , S. Melinte , M. Shayegan , D. Wasserman , S. A. Lyon , R. Winkler

We present a theoretical study of the interplay between cyclotron motion and spin splitting of charge carriers in solids. While many of our results apply more generally, we focus especially on discussing the Rashba model describing…

Mesoscale and Nanoscale Physics · Physics 2007-09-30 U. Zuelicke , J. Bolte , R. Winkler

In two-dimensional (2D) hole systems the inversion asymmetry induced spin splitting differs remarkably from its familiar counterpart in the conduction band. While the so-called Rashba spin splitting of electron states increases linearly…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 R. Winkler

In order to model the phase-coherent scattering of electrons in two-dimensional electron gases in the presence of Rashba spin-orbit coupling, a general partial-wave expansion is developed for scattering from a cylindrically symmetric…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Jamie D. Walls , Jian Huang , Robert M. Westervelt , Eric J. Heller

Theory of trembling motion [Zitterbewegung (ZB)] of charge carriers in various narrow-gap materials is reviewed. Nearly free electrons in a periodic potential, InSb-type semiconductors, bilayer graphene, monolayer graphene and carbon…

Mesoscale and Nanoscale Physics · Physics 2010-03-30 W. Zawadzki , T. M. Rusin

It has long been assumed that the inversion asymmetry-induced Rashba spin splitting in two-dimensional (2D) systems at zero magnetic field is proportional to the electric field that characterizes the inversion asymmetry of the confining…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 R. Winkler , H. Noh , E. Tutuc , M. Shayegan
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