Impurity states in a cylindrical quantum dot with the modified Pöschl-Teller potential

Hayrapetyan, D. B.; Kazaryan, É. M.; Tevosyan, H. Kh.

doi:10.3103/s1068337214030062

Cited by 21 publications

(6 citation statements)

References 13 publications

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“…On the other hand, impurities influence the energy spectrum of the system, thereby leading to the appearance of local and resonant levels in the energy spectrum of quasiparticles. These levels exert a profound influence on the properties of solids [19][20][21]. The energy spectrum of quantum wires with impurities should be studied in detail to assure that white-light sources can be produced.…”

Section: Introductionmentioning

confidence: 99%

Energy gap renormalization and diamagnetic susceptibility in quantum wires with different cross-sectional shape

et al. 2016

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In this study, we investigate the effect of the cross-sectional shape on the energy gap renormalization and diamagnetic susceptibility in various quantum wires. To this end, we consider quantum wires with different cross-sectional shapes such as circular, square, hexagonal, and triangular. First, we employ the finite-element method and Arnoldi algorithm to solve the Schrödinger equation. Then, we calculate the energy levels, wavefunctions, binding energy, energy gap renormalization, and diamagnetic susceptibility. Our numerical results show that the binding energy decreases when the cross-sectional area is increased for all the quantum wires. Moreover, it is inferred that the cross-sectional shape is not important for large crosssectional area when calculating the binding energy. Indeed, the main parameter is the cross-sectional area rather than the length of a side. The energy gap renormalization decreases with increasing cross-sectional area, regardless of the impurity concentration. We observe that the highest and lowest energy gap renormalization correspond to triangular and circular quantum wires, respectively. The absolute value of the diamagnetic susceptibility increases with increasing crosssectional area for all the quantum wires investigated.

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Section: Introductionmentioning

confidence: 99%

Energy gap renormalization and diamagnetic susceptibility in quantum wires with different cross-sectional shape

et al. 2016

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“…It is evident that with the increase in the quantum number the behavior of the confining potential diverges from the parabolic shape. For a more realistic approximation of the forming confining potential it was proposed to use a different potentials [8][9][10][11][12][13][14]. One of the confining potential models called Morse potential [15][16][17], the form of which is shown in Fig.…”

Section: Introductionmentioning

confidence: 99%

Light absorption of cylindrical quantum dot with Morse potential in the presence of parallel electrical and magnetic fields

et al. 2015

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The electronic states and direct interband light absorption are studied in the cylindrical quantum dot with Morse confining potential made of GaAs in the presence of parallel electrical and magnetic fields. Within the framework of perturbation theory and variation method expressions are obtained for the particle energy spectrum. The effect of the external fields on direct interband light absorption of cylindrical quantum dot is investigated. Selection rules are obtained at presence of parallel electrical and magnetic fields. The dependence of the absorption threshold on geometrical parameters of quantum dots and intensities of external fields is obtained.

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“…Another interesting aspect of the PT potential lies in the fact that it has a quadratic spectrum leading to a rich revival structure for its coherent states, which makes possible the formation of Schrödinger cat and cat-like states. Different types of coherent states for quantum mechanical systems evolving in the PT potential have been discussed by many authors from various perspectives [4][5][6][7][8][9][10][11][12][13][14]. Here, the coherent states for the symmetric PT potential we are introducing are quite different from the existing ones in the above literature and are obtained by adopting a general Hilbertian probabilistic scheme [15] reminiscent to the classical construction of the Bargmann transform [16].…”

Section: Introductionmentioning

confidence: 99%

“…Another interesting aspect of this potential lies in the fact that it has a quadratic spectrum leading to a rich revival structure for its coherent states, which makes possible the formation of Schrödinger cat and cat-like states. Different types of coherent states for quantum mechanical systems evolving in the PT potential have been discussed by many authors from different perspectives [4][5][6][7][8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

New coherent states with Laguerre polynomials coefficients for the symmetric Pöschl–Teller oscillator

Patrick¹,

Mouayn²

2015

J. Phys. A: Math. Theor.

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We construct a new class of coherent states labeled by points z of the complex plane and depending on three numbers (γ, ν) and ε > 0 by replacing the coefficients z n / √ n! of the canonical coherent states by Laguerre polynomials. These states are superpositions of eigenstates of the symmetric Pöschl-Teller oscillator and they solve the identity of the states Hilbert space at the limit ε → 0 + . Their wavefunctions are obtained in a closed form for a special case of parameters (γ, ν). We discuss their associated coherent states transform which leads to an integral representation of Hankel type for Laguerre functions.

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Impurity states in a cylindrical quantum dot with the modified Pöschl-Teller potential

Cited by 21 publications

References 13 publications

Energy gap renormalization and diamagnetic susceptibility in quantum wires with different cross-sectional shape

Energy gap renormalization and diamagnetic susceptibility in quantum wires with different cross-sectional shape

Light absorption of cylindrical quantum dot with Morse potential in the presence of parallel electrical and magnetic fields

New coherent states with Laguerre polynomials coefficients for the symmetric Pöschl–Teller oscillator

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