Gil-Corrales John A, Vinasco Juan A, Radu Adrian, Restrepo Ricardo L, Morales Alvaro L, Mora-Ramos Miguel E, Duque Carlos A
Grupo de Materia Condensada-UdeA, Instituto de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Antioquia UdeA, Calle 70 No. 52-21, Medellín 50011, Colombia.
Department of Physics, "Politehnica" University of Bucharest, 313 Splaiul Independenţei, 060042 Bucharest, Romania.
Nanomaterials (Basel). 2021 May 5;11(5):1219. doi: 10.3390/nano11051219.
Quantum wires continue to be a subject of novel applications in the fields of electronics and optoelectronics. In this work, we revisit the problem of determining the electron states in semiconductor quantum wires in a self-consistent way. For that purpose, we numerically solve the 2D system of coupled Schrödinger and Poisson equations within the envelope function and effective mass approximations. The calculation method uses the finite-element approach. Circle, square, triangle and pentagon geometries are considered for the wire cross-sectional shape. The features of self-consistent band profiles and confined electron state spectra are discussed, in the latter case, as functions of the transverse wire size and temperature. Particular attention is paid to elucidate the origin of Friedel-like oscillations in the density of carriers at low temperatures.
量子线仍然是电子学和光电子学领域新型应用的研究对象。在这项工作中，我们以自洽的方式重新审视确定半导体量子线中电子态的问题。为此，我们在包络函数和有效质量近似下，对耦合的薛定谔方程和泊松方程的二维系统进行数值求解。计算方法采用有限元法。线的横截面形状考虑了圆形、方形、三角形和五边形几何形状。在后一种情况下，讨论了自洽能带分布和受限电子态谱的特征，它们是线横向尺寸和温度的函数。特别关注阐明低温下载流子密度中类似弗里德尔振荡的起源。
