Optical transition rates of a polar quantum disc with conical disclination in a magnetic field: effects of some forms of the electric potential

IF 2.8 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
Vinod Kumar, Surender Pratap, Moletlanyi Tshipa, Monkami Masale
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Abstract

Theoretical investigations are carried out of optical transitions of a polar disc with a conical disclination and under the influence of a parallel applied uniform magnetic field. Additional confinement of the electron is due to an intrinsic electric confining potential of the polar disc modelled by any of the forms: infinite polar square well (IPSW), parabolic potential (PP) and shifted parabolic potential (SPP). As is well known, the parallel applied magnetic field lifts the double degeneracy of the non-zero azimuthal quantum number m electronic states. This Zeeman splitting is such that the \(m>0\)electron energy sub-bands increase monotonically with an increase of the magnetic field, while the \(m<0\)states initially decrease as the magnetic field is increased. Now, in systems with cylindrical symmetry, the allowed optical transitions are those between the electron’s states whose azimuthal quantum numbers differ by unity. The conical disclination is characterized by a kink parameter which is \(\kappa <1\) for a segment cut off from the disc and \(\kappa >1\) for a segment introduced into the polar disc. An increase of \(|\kappa |\) leads to a decrease of transition energies, which in turn gives rise to an increase of the corresponding transition rates of optical transitions. Thus, peaks of transition rates get red shifted as the kink parameter increases. Additionally, the magnitude of the transition rates increases with the increasing value of the kink parameter. The magnetic field enhances transition energies involving states with angular momentum in one direction (here, those with positive angular momentum number m), while it decreases those involving states with angular momentum in the opposite direction (negative m states). It has also been found that parallel magnetic field blue shifts peaks of rates of transitions involving the \(m>0\) states, while it red shifts peaks of those involving the \(m<0\) states. The parabolic potential enhances transition energies, while the shifted parabolic potential reduces the transition energies. Consequently, the parabolic potential blue shifts peaks of transition rates, while the shifted parabolic potential red shifts the peaks. The results presented here suggest that a conical disclination and the overall confinement potential can be employed to tune and modulate the optical transition rates of a quantum disc.

具有锥形偏斜的极量子盘在磁场中的光学跃迁速率:某些形式的电势的影响
本文从理论上研究了在平行均匀磁场作用下具有锥形偏角的极盘的光学跃迁。附加的电子约束是由于极盘的本征电约束势,可以用无限极方阱(IPSW)、抛物势(PP)和移位抛物势(SPP)中的任何一种形式来模拟。众所周知,平行外加磁场解除了非零方位量子数m电子态的双简并。这种塞曼分裂是这样的:\(m>0\)电子能量子带随着磁场的增加而单调增加,而\(m<0\)状态最初随着磁场的增加而减少。现在,在具有圆柱对称的系统中,允许的光学跃迁是那些方位角量子数相差一个单位的电子态之间的跃迁。锥形偏斜的特征是扭结参数,从圆盘切断的部分为\(\kappa <1\),引入极盘的部分为\(\kappa >1\)。\(|\kappa |\)的增大导致跃迁能的减小,进而引起相应的光学跃迁速率的增大。因此,随着扭结参数的增加,跃迁速率的峰值发生红移。此外,转变速率的大小随扭结参数的增加而增加。磁场增强了一个方向的角动量态的跃迁能(这里是角动量数为正m的态),降低了相反方向的角动量态的跃迁能(负m态)。研究还发现,平行磁场蓝移涉及\(m>0\)态的跃迁速率峰,而红移涉及\(m<0\)态的跃迁速率峰。抛物势提高了过渡能,而位移的抛物势降低了过渡能。因此,抛物势蓝移跃迁速率峰,而位移抛物势红移跃迁速率峰。本文的研究结果表明,锥形偏斜和总约束势可以用来调谐和调制量子盘的光学跃迁速率。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
The European Physical Journal Plus
The European Physical Journal Plus PHYSICS, MULTIDISCIPLINARY-
CiteScore
5.40
自引率
8.80%
发文量
1150
审稿时长
4-8 weeks
期刊介绍: The aims of this peer-reviewed online journal are to distribute and archive all relevant material required to document, assess, validate and reconstruct in detail the body of knowledge in the physical and related sciences. The scope of EPJ Plus encompasses a broad landscape of fields and disciplines in the physical and related sciences - such as covered by the topical EPJ journals and with the explicit addition of geophysics, astrophysics, general relativity and cosmology, mathematical and quantum physics, classical and fluid mechanics, accelerator and medical physics, as well as physics techniques applied to any other topics, including energy, environment and cultural heritage.
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