Boundary conditions and transmission reflection of electron spin in a quantum well

Dargys, A.

doi:10.1088/0268-1242/27/4/045009

Cited by 4 publications

(6 citation statements)

References 41 publications

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“…Moreover, Refs. [55] and [56] are dedicated to some modified Fresnel's formulae constituting the transformation of resonant light and polarized matter waves, respectively. Finally, another type of Fresnel's formulae accounting for a time-dependent spatial reflection of waves from nonstationary interfaces are derived in Refs.…”

Section: Sudden Change Of the Dielectric Permittivitymentioning

confidence: 99%

Electromagnetic wave propagation in spatially homogeneous yet smoothly time-varying dielectric media

Hayrapetyan

Götte

Grigoryan

et al. 2016

Journal of Quantitative Spectroscopy and Radiative Transfer

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We explore the propagation and transformation of electromagnetic waves through spatially homogeneous yet smoothly time-dependent media within the framework of classical electrodynamics. By modelling the smooth transition, occurring during a finite period tau, as a phenomenologically realistic and sigmoidal change of the dielectric permittivity, an analytically exact solution to Maxwell's equations is derived for the electric displacement in terms of hypergeometric functions. Using this solution, we show the possibility of amplification and attenuation of waves and associate this with the decrease and increase of the time-dependent permittivity. We demonstrate, moreover, that such an energy exchange between waves and non-stationary media leads to the transformation (or conversion) of frequencies. Our results may pave the way towards controllable light matter interaction in time-varying structures. (C) 2015 Elsevier Ltd. All rights reserved

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Section: Sudden Change Of the Dielectric Permittivitymentioning

confidence: 99%

Electromagnetic wave propagation in spatially homogeneous yet smoothly time-varying dielectric media

Hayrapetyan

Götte

Grigoryan

et al. 2016

Journal of Quantitative Spectroscopy and Radiative Transfer

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“…When both Rashba and Dresselhaus interactions are present, the refractive index ratio 2 1 n n  must be found by solving Equations ( 4) and (8). Curiously, in this case, the relative refractive index of region II, i.e.…”

Section: Theorymentioning

confidence: 99%

“…To find the critical angle(s) for total internal reflection associated with the first spin eigenstate in the refraction medium labeled by the + sign, we set  r+ = 90 0 in Equation (8) and solve for  i . This yields (we always take the positive value of the radical)…”

Section: Theorymentioning

confidence: 99%

“…For the second spin eigenstate labeled by the -sign, we again set  r-= 90 0 in Equation (8) and solve for  i to obtain the critical angle(s) for total internal reflection. This yields (we always take the positive value of the radical)…”

Section: Theorymentioning

confidence: 99%

“…Recently, another modality of spin polarized injection has gained attention [6][7][8][9]. When an electron is incident from a quasi-two-dimensional (2D) medium with no spin-orbit interaction on another quasi-2D medium with Rashba and/or Dresselhaus spin-orbit interaction, there can be two angles of refraction into the second medium, one for each spin eigenstate (in the latter medium).…”

Section: Introductionmentioning

confidence: 99%

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Reflection and refraction of an electron spin at the junction between two quasi-two-dimensional regions with and without spin-orbit interaction

Bandyopadhyay¹,

Cahay²,

Ludwick³

2021

Phys. Scr.

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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. We obtain the well-known result that for an incident angle, there can be generally two different refraction angles for refraction into the two spin eigenstates in the refraction medium, resulting in two different ‘spin refractive indices’ and two critical angles for total internal reflection. We derive expressions for the spin refractive indices, which are not constant for a given medium but depend on the incident electron’s energy. If the effective mass of an electron in the refraction medium is larger than that in the incidence medium, then we show that for some incident electron energies and potential barrier at the interface, the spin refractive index of the incidence medium can lie between the two spin refractive indices of the refraction medium, resulting in only one critical angle. In that case, if the incident angle exceeds that critical angle, then refraction can occur into only one spin eigenstate in the refraction medium. If the system is engineered to make this happen, then it will be possible to obtain a very high degree of spin-polarized injection into the refraction medium. The amplitudes of reflection of the incident spin into its own spin eigenstate and the orthogonal spin eigenstate (due to spin flip at the interface), as well as the refraction amplitudes into the two spin eigenstates in the refraction medium are derived for an incident electron (with arbitrary spin polarization and incident energy) as a function of the angle of incidence.

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Double refraction of electron spin across a metal-semiconductor junction with Rashba and Dresselhaus spin-orbit interactions: A stronger spin-filtering effect

Kalla

Kumar

Sil

et al. 2021

Superlattices and Microstructures

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Boundary conditions and transmission reflection of electron spin in a quantum well

Cited by 4 publications

References 41 publications

Electromagnetic wave propagation in spatially homogeneous yet smoothly time-varying dielectric media

Electromagnetic wave propagation in spatially homogeneous yet smoothly time-varying dielectric media

Reflection and refraction of an electron spin at the junction between two quasi-two-dimensional regions with and without spin-orbit interaction

Double refraction of electron spin across a metal-semiconductor junction with Rashba and Dresselhaus spin-orbit interactions: A stronger spin-filtering effect

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