Multichannel tunneling in multiband heterostructures: Heavy-hole and light-hole transmission properties

Diago‐Cisneros, L.; Rodrı́guez-Coppola, H.; Pérez‐Álvarez, R.; Pereyra, Pedro

doi:10.1103/physrevb.74.045308

Cited by 20 publications

(110 citation statements)

References 42 publications

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“…Several new and peculiar features for each hole flavor have been found, and they enhance the novelty of the present study concerning the results reported in the past [6][7][8]. We will refer to root-locus-like terminology from now on throughout the paper whenever we proceed to graph in the complex plane the eigenvalue evolution for the non-linear problem as the band-mixing parameter changes.…”

mentioning

confidence: 78%

“…This is essentially the case of the carriers' transverse motion influence on the effective scattering potential they interact with. This is crucial for quantum transport calculation, a question soon to be considered partially in this paper.On general grounds, for k T % 0 the band offset of the effective potential V eff is given by the difference for 3D bandedge levels [7,8]. By letting k T grow, the band-mixing effects…”

mentioning

confidence: 99%

“…By letting k T grow, the band-mixing effects arise and the effective band offset changes. A comprehensive analysis of this subject describes largest reduction for the piecewise-constant V eff height as a function of k T for light holes (lh) with respect to that for heavy holes (hh) [8].…”

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confidence: 99%

“…Assuming a plane-wave-like dependence on k z for CðzÞ, and based on the QEP method [8], it can be cast in the form…”

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confidence: 99%

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Valence‐band effective‐potential evolution for coupled holes

Flores-Godoy

Mendoza-Álvarez

Diago‐Cisneros

et al. 2013

Physica Status Solidi (b)

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We present the metamorphosis in the effective-potential profile of layered heterostructures, for several III-V semiconductor binary compounds, when the band mixing of light and heavy holes increases. A root-locus-like procedure, is directly applied to an eigenvalue quadratic problem obtained from a multichannel system of coupled modes, in the context of multiband effective mass approximation. By letting grow valence-band mixing, it is shown the standard fixed-height rectangular potential-energy for the scatterer distribution, to be a reliable test-run input for heavy holes. On the contrary, this scheme is no longer valid for light holes and a mutable effective \emph{band offset} profile has to be considered instead, whenever the in-plane kinetic energy changes.Comment: 12 pages, 5 figure

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mentioning

confidence: 78%

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confidence: 99%

mentioning

confidence: 99%

“…Assuming a plane-wave-like dependence on k z for CðzÞ, and based on the QEP method [8], it can be cast in the form…”

mentioning

confidence: 99%

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Valence‐band effective‐potential evolution for coupled holes

Flores-Godoy

Mendoza-Álvarez

Diago‐Cisneros

et al. 2013

Physica Status Solidi (b)

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“…The QEP is currently receiving a lot of attention because it may be used in a wide variety of applications, and recently, in the study of quantum hole transport [3] [4]. In this model we proof that a base collected from the spinors of the QEP (N £ 1) in a system of free particles does not fulfill classical orthonormalization [3], this uncommon scenario arises from terms that contain the first order derivative (that is responsible for the effects of the bandmixing of holes) that appear in the Kohn-Lüttinger Hamiltonian. In spite of its obvious relevance, it is not considered by most authors.…”

Section: Outlines On Non-lineal Eigenvalue Problemsmentioning

confidence: 99%

Panorama fenomenológico de la evolución del perfil potencial de componentes binarios del grupo III-V

Álvarez

Anaya

Flores-Godoy

et al. 2014

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En este artículo se analiza el cambio del perfil potencial dispersor en algunos compuestos, considerando el efecto de mezcla de huecos ligeros y pesados. Esto se obtiene aplicando el Teorema de Shur´s Generalizado al problema cuadrático de autovalores obtenido a partir del problema que surge de un sistema de ecuaciones diferenciales N-acoplado del segundo orden, en el marco de la Aproximación de Masa Efectiva Multibanda. Consideramos energías incidentes menores, iguales y mayores que la altura de la barrera del potencial dispersor para diferentes compuesto binarios semiconductores del grupo III-V. En la descripción del perfil del potencial, empleamos el modelo de bandas de Kohn-lutinger (4x4) y (2x2) por completitud. Las propiedades estándar como pozo cuántico o barrera potencial de los compuestos binarios considerados, resultaron en lo general garantizadas, mas no todos los materiales seleccionados mostraron la evolución esperada en su perfil potencial: algunos que constituyen pozos cuánticos (QW) en aplicaciones tecnológicas, presentaron un comportamiento de barrera potencial efectiva (B) para huecos ligeros (lh), a diferentes rangos de energía incidente E y diferentes mezclas. En este estudio, ninguno de los compuestos con comportamiento de barrera en aplicaciones tecnológicas, evolucionó a un comportamiento de QW efectivo, válido tanto para lh como hh. Sorprendentemente todos los compuestos en este estudio que constituyen barreras en aplicaciones tecnológicas, presentaron transiciones desde QW a B para lh en el rango donde el valor de la energía es mayor que la altura de la barrera Vo.

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Theory of finite periodic systems: The eigenfunctions symmetries

Pereyra¹

2017

Annals of Physics

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Using the analytical expressions for the genuine eigenfunctions $\varphi_{\mu\nu}(z)$ and eigenvalues $E_{\mu,\nu}$, of open, bounded and quasi-bounded finite periodic systems, we derive the eigenfunctions space-inversion symmetry relations. The superlattice eigenfunctions symmetries, closely related with the symmetries and zeros of the Chebyshev polynomials of the second kind $U_n$, are fully written in terms of the number of unit cells $n$, the subband index $\mu$ and the intra-subband index $\nu$.Comment: 10 pages, 14 figure

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Multichannel tunneling in multiband heterostructures: Heavy-hole and light-hole transmission properties

Cited by 20 publications

References 42 publications

Valence‐band effective‐potential evolution for coupled holes

Valence‐band effective‐potential evolution for coupled holes

Panorama fenomenológico de la evolución del perfil potencial de componentes binarios del grupo III-V

Theory of finite periodic systems: The eigenfunctions symmetries

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