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Spin-conserving and spin-flip opaque reflections of electrons from a potential barrier in heterostructures are described. An electric field of the barrier is considered to be the only source of energy spin splitting in the presence of…

介观与纳米尺度物理 · 物理学 2023-07-19 Pawel Pfeffer , Wlodek Zawadzki

The interaction of an electromagnetic wave with spin (polarized light) and an electron is computed. Specifically the spin flip probability is computed using the Dirac equation for an electron trapped in a uniform magnetic field.

光学 · 物理学 2014-05-16 Richard T Hammond

Solution of the Dirac equation predicts that when an electron with non-zero orbital angular momentum propagates in a cylindrically symmetric potential, its spin and orbital degrees of freedom interact, causing the electron's phase velocity…

量子物理 · 物理学 2009-09-23 C. C. Leary , D. Reeb , M. G. Raymer

Reflection and transmission of electrons scattered by a rectangular potential step in the presence of an external magnetic field parallel to the electron beam is described with the use of the Dirac equation. It is shown that in addition to…

量子物理 · 物理学 2020-06-24 Wlodek Zawadzki , Pawel Pfeffer

We derive the reflection and refraction laws for an electron spin incident from a quasi-two-dimensional medium with no spin-orbit interaction on another with both Rashba and Dresselhaus spin-orbit interaction using only energy conservation.…

介观与纳米尺度物理 · 物理学 2021-04-06 Supriyo Bandyopadhyay , Marc Cahay , Jonathan Ludwick

The spin-dependent elastic reflection of quasi two-dimensional electrons from a lateral impenetrable barrier in the presence of band-structure spin-orbit coupling results in a spin angular impulse exerted on the electrons which is…

介观与纳米尺度物理 · 物理学 2009-07-23 V. Teodorescu , R. Winkler

The motion of a relativistic particle is linked to its spin by the Dirac equation. Remarkably, electrons in two-dimensional materials can mimic such Dirac particles but must always appear in pairs of opposite spin chirality. Using…

介观与纳米尺度物理 · 物理学 2009-09-24 Kenjiro K. Gomes , Wonhee Ko , Warren Mar , Yulin Chen , Zhi-Xun Shen , Hari C. Manoharan

A neo-classical relativistic mechanics theory is presented where the spin of an electron is a natural part of its space-time path as a point particle. The fourth-order equation of motion corresponds to the same Lagrangian function in proper…

量子物理 · 物理学 2024-02-13 James L. Beck

We investigate the coupling of the spin angular momentum of light beams with elliptical polarization to the spin degree of freedom of free electrons. It is shown that this coupling, which is of similar origin as the well-known spin-orbit…

量子物理 · 物理学 2014-11-04 Heiko Bauke , Sven Ahrens , Rainer Grobe

Magnetic effects on free electron systems have been studied extensively in the context of spin-to-orbital angular momentum conversion. Starting from the Dirac equation, we derive a fully relativistic expression for the energy of free…

量子物理 · 物理学 2018-06-19 P. Kurian

The effects on the spin state of an electron in a time independent electric field are examined. The probability of spin flipping is calculated, and other effects are studied using the minimally coupled Dirac equation.

介观与纳米尺度物理 · 物理学 2013-06-04 Richard T. Hammond

There suggested a modification of the Dirac electron theory, eliminating its mathematical incompleteness. The modified Dirac electron, called dual, is described by two waves, one of which is the Dirac wave and the second dynamically…

综合物理 · 物理学 2015-07-14 Gennadiy Golub'

We describe theoretically the process of multi-beam reflection in a two-dimensional electron system with a lateral potential barrier. Due to spin-orbital interaction, the reflection process leads to the formation of three beams with…

介观与纳米尺度物理 · 物理学 2009-11-10 A. O. Govorov , A. V. Kalameitsev , J. P. Dulka

The general solution of the Dirac equation for quasi-two-dimensional electrons confined in an asymmetric quantum well, is found. The energy spectrum of such a system is exactly calculated using special unitary transformation and shown to…

介观与纳米尺度物理 · 物理学 2016-05-04 A. A. Eremko , L. S. Brizhik , V. M. Loktev

The phenomenon of spin-dependent quantum scattering in two-dimensional (2D) pseudospin-1/2 Dirac materials leading to a relativistic quantum chimera was recently uncovered. We investigate spin-dependent Dirac electron optics in 2D…

介观与纳米尺度物理 · 物理学 2024-08-23 Li-Li Ye , Chen-Di Han , Ying-Cheng Lai

The Dirac equation, in the field of a traveling circularly polarized electromagnetic wave and a constant magnetic field, has singular solutions, corresponding the expansion of energy in vicinity of some singular point. These solutions…

量子物理 · 物理学 2014-05-15 Boris V. Gisin

We derive the modified Dirac equation for an electron undergos an influence of the standard model interaction with the nuclear matter. The exact solutions for this equation and the electron energy spectrum in matter are obtained. This…

高能物理 - 唯象学 · 物理学 2009-11-11 Alexander Grigoriev , Sergey Shinkevich , Alexander Studenikin , Alexei Ternov , Ilya Trofimov

The relativistic semiclassical evolution of the position of an electron in the presence of an external electromagnetic field is studied in terms of a Newton equation that incorporates spin effects directly. This equation emerges from the…

量子物理 · 物理学 2017-11-13 R. Gutierrez-Jauregui , R. Perez-Pascual , R. Jauregui

We investigate numerically the spin properties of electrons in flakes made of materials described by the Dirac equation, at the presence of intrinsic spin-orbit-coupling(SOC). We show that electrons flowing along the borders of flakes via…

介观与纳米尺度物理 · 物理学 2016-02-17 Ioannis Kleftogiannis , Ilias Amanatidis

In Dirac materials, the low energy excitations obey the relativistic Dirac equation. This dependence implies that the electrons are exposed to strong spin-orbit coupling. Hence, real spin conservation is believed to be violated in Dirac…

介观与纳米尺度物理 · 物理学 2019-05-27 Vanessa Werner , Björn Trauzettel , Oleksiy Kashuba
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