Electronic Properties of a Hydrogenic Impurity in a Quantum Wire With v-Shaped Cross-Section: Spin-Orbit Coupling, Relativistic Correction and Conductance

Abstract

The effects of spin-orbit coupling (SOC) and relativistic correction (RC) on the energy levels of a hydrogenic impurity in a GaAs/Ga 1-x Al x As quantum wire are studied. The quantum wire has a V-shaped cross-section and the impurity located in its center. Our numerical calculations have done using a variational procedure within the effective mass approximation. Our results show that (i) the splitting due to the SOC decreases with increasing the wire width, (ii) the SOC and RC increase when the concentration increases, (iii) the SOC is zero for l = 0 (l is angular momentum) and nonzero for l ≠ 0, (iv) for a given wire width, the RC is different for l = 0 and l = 1 due to expectation values of [Formula: see text] and [Formula: see text] (r is distance between the electron and impurity). We also computed the conductance of the quantum wire with and without impurity.

Application of Tietz potential to study optical properties of spherical quantum dots

“…One of the most important points in the study of nanostructures is their preparation procedure. Hitherto, various procedures have been used for the preparation of nanostructures with controlled size, shape, and uniform size distribution [4][5][6][7][8][9].…”

Electronic Structure and Binding Energy of Spherical Quantum Dot

“…Safsızlık kuantum nokta yapının enerji dağılımında önemli değişikliğe neden olmakta ve optiksel özelliklerinin kontrol edilmesine imkân sağlamaktadır. Bütün bu nedenlerden dolayı son 10 yılda çeşitli araştırmacılar tarafından kuantum nokta yapıların elektronik yapısı [2][3][4][5][6], bağlanma enerjisi [7][8][9][10], optiksel [11][12][13][14][15][16][17][18] ve diğer özellikleri [19][20][21][22] gibi çeşitli parametreleri yoğun olarak çalışılmaktadır. Yukarıda belirtilen çalışmalar arasında Çakır ve ark.…”

The energy levels, binding energy and third harmonic generation of a hexagon-shaped quantum wire

“…After Bastard's pioneering work on the donor impurity in a semiconductor quantum well, 23 many studies have been performed on impurity states in nanostructures. [24][25][26][27] One of the interesting problems in solid state physics is the effect of impurity on the nonlinear optical properties in low-dimensional semiconductor heterostructures. As is known, nonlinear optics is the branch of optics that describes the behavior of light in nonlinear media, that is, media in which the dielectric polarization P responds nonlinearly to the electric field E of the light.…”