Binding energy of hydrogenic impurities in quantum dots under intense laser radiation

González-Santander, C.; Apostolova, Tzveta; Domı́nguez-Adame, F.

doi:10.1088/0953-8984/25/33/335802

Cited by 15 publications

(7 citation statements)

References 31 publications

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“…In this way, we only retain the term K = 0 in the expansion (32). Therefore (30) Using the closure relation (31) we get…”

Section: Methodsmentioning

confidence: 99%

“…The analysis and conclusions can be trivially extended to any 2D material where electron dynamics can be described by the massless Dirac equation. The interaction of the electron with the scatterers is accounted for by a separable pseudo-potential model [24][25][26][27][28][29][30][31] . In spite of its seemingly more complicated form, the separable pseudo-potential model is amenable to analytical solution and allows us to obtain closed expressions for the average Green's function within the SCBA and CPA frameworks.…”

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confidence: 99%

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Many-impurity scattering on the surface of a topological insulator

Vicario

Baba

Díaz

et al. 2021

Sci Rep

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We theoretically address the impact of a random distribution of non-magnetic impurities on the electron states formed at the surface of a topological insulator. The interaction of electrons with the impurities is accounted for by a separable pseudo-potential method that allows us to obtain closed expressions for the density of states. Spectral properties of surface states are assessed by means of the Green’s function averaged over disorder realisations. For comparison purposes, the configurationally averaged Green’s function is calculated by means of two different self-consistent methods, namely the self-consistent Born approximation (SCBA) and the coherent potential approximation (CPA). The latter is often regarded as the best single-site theory for the study of the spectral properties of disordered systems. However, although a large number of works employ the SCBA for the analysis of many-impurity scattering on the surface of a topological insulator, CPA studies of the same problem are scarce in the literature. In this work, we find that the SCBA overestimates the impact of the random distribution of impurities on the spectral properties of surface states compared to the CPA predictions. The difference is more pronounced when increasing the magnitude of the disorder.

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“…In this way, we only retain the term K = 0 in the expansion (32). Therefore (30) Using the closure relation (31) we get…”

Section: Methodsmentioning

confidence: 99%

mentioning

confidence: 99%

Many-impurity scattering on the surface of a topological insulator

Vicario

Baba

Díaz

et al. 2021

Sci Rep

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“…Therefore, one can test different shape functions until the desired accuracy of the results is obtained. Typically naive functions with very few adjustable parameters are good candidates [37][38][39][40][41][42].…”

Section: B Green's Function Approachmentioning

confidence: 99%

Persistence of symmetry-protected Dirac points at the surface of the topological crystalline insulator SnTe

Arroyo-Gascón,

Baba,

Cerdá

et al. 2021

Preprint

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We investigate the effect of a non-magnetic donor impurity located at the surface of the SnTe topological crystalline insulator. Both, semi-infinite and slab geometries are considered. We analyze the changes on the surface states due to the impurity by means of ab-initio simulations of the electronic structure of pristine and impurity-doped SnTe. Furthermore, both minimal and Green's function continuum models are proposed in order to describe the effect of the impurity on the surface states. We find that the Dirac cones are shifted down in energy upon doping; this shift depends on the position of the impurity with respect to the surface. We compare slab and semi-infinite geometries within the ab-initio approach, demonstrating that the surface states are gapless in the doped semi-infinite system. The gap opens in the slab geometry due to hybridization of the states at opposite surfaces. Finally, by means of a continuum model, we extrapolate our results to arbitrary positions of the impurity, clearly showing a non-monotonic behavior of the Dirac cone.

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“…Space‐translated version of the Schrödinger equation describing the interaction dynamics, performed by Kramers–Henneberger unitary translational transformation , is as follows:

[- \frac{ℏ^{2}}{2 m^{*}} \frac{\partial^{2}}{\partial z^{2}} + V (boldz + boldα (t)) + | e | Fz] ϕ false(z, t false) = i ℏ \frac{\partial}{\partial t} ϕ false(z, t false) .

Here,

m^{*}

is the effective electron mass,

false| e false|

is the absolute value of the electron charge, z is the space coordinate along the growth direction of quantum well, and F is strength of the static electric field parallel to z ‐direction.

V false(z false)

is the confinement potential energy where

α false(t false) = α_{0} sin (Ω t) \hat{z}; α_{0} = {eA}_{0} / m^{*} Ω

represents the motion of an electron in a linearly polarized monochromatic laser field and

α_{0}

is the laser‐dressing parameter that defines the amplitude of the electron oscillation in the laser field (called also as quiver amplitude) . In Eq.…”

Section: Theory and Formalismmentioning

confidence: 99%

“…represents the motion of an electron in a linearly polarized monochromatic laser field and α 0 is the laser-dressing parameter that defines the amplitude of the electron oscillation in the laser field (called also as quiver amplitude) [30]. In Eq.…”

mentioning

confidence: 99%

Intense laser field-induced nonlinear optical properties of Morse quantum well

Şakiroğlu

Kasapoğlu

Restrepo

et al. 2016

Phys. Status Solidi B

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Abstractauthoren This paper investigates the effects of an intense laser field and electric field on the optical properties of quantum well represented by Morse potential. The non‐resonant, high‐frequency intense laser effects upon the system are treated within the framework of non‐perturbative approach, modifying the confinement potential associated to the heterostructure. The analytical expressions of the linear and third‐order nonlinear optical absorption coefficients and refractive index changes are obtained by using the compact‐density matrix formalism. The results for a typical GaAs quantum well correspond to several configurations of the structural parameter, the strengths of the intense laser radiation, and the static electric field. Numerical results reveal the striking influence of the external fields on the magnitude and resonant peak energy positions of the optical absorption coefficients and refractive index changes. Besides, the control of intersubband optical transitions by the structure parameter seems feasible.

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Binding energy of hydrogenic impurities in quantum dots under intense laser radiation

Cited by 15 publications

References 31 publications

Many-impurity scattering on the surface of a topological insulator

Many-impurity scattering on the surface of a topological insulator

Persistence of symmetry-protected Dirac points at the surface of the topological crystalline insulator SnTe

Intense laser field-induced nonlinear optical properties of Morse quantum well

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