Electron spectra in double quantum wells of different shapes

Abstract

We suggest a method for calculating electronic spectra in ordered and disordered semiconductor structures (superlattices) forming double quantum wells (QW). In our method, we represent the solution of Schrödinger equation for QW potential with the help of the solution of the corresponding diffusion equation. This is because the diffusion is the mechanism, which is primarily responsible for amorphization (disordering) of the QW structure, leading to so-called interface mixing. We show that the electron spectrum in such a structure depends on the shape of the quantum well, which, in turn, corresponds to an ordered or disordered structure. Namely, in a disordered substance, QW typically has smooth edges, while in ordered one it has an abrupt, rectangular shape. The present results are relevant for the heterostructures like GaAs/AlGaAs, GaN/AlGaN, HgCdTe/CdTe, ZnSe/ZnMnSe, Si/SiGe, etc., which may be used in high-end electronics, flexible electronics, spintronics, optoelectronics, and energy harvesting applications.

arXiv comment10 pages, 5 figures

References in corpus (17)

• Spintronics: Fundamentals and applications
• Fractional Quantum Mechanics
• Dielectric screening in two-dimensional insulators: Implications for excitonic and impurity states in graphane
• One-Dimensional Quasi-Exactly Solvable Schrödinger Equations
• The double well potential in quantum mechanics: a simple, numerically exact formulation
• Intersubband spin-density excitations in quantum wells with Rashba spin splitting
• Energy levels of a two-dimensional hydrogen atom with spin-orbit Rashba interaction
• Polarization analysis and Density Functional Theory (DFT) simulations of the electric field in InN/GaN multiple quantum wells (MQWs)
• Multivalley two-dimensional electron system in an AlAs quantum well with mobility exceeding $2\times 10^6$ cm${}^2$V${}^{-1}$s${}^{-1}$
• Design rules for modulation-doped AlAs quantum wells
• Working principles of doping-well structures for high-mobility two-dimensional electron systems
• Energy levels repulsion by spin-orbit coupling in two-dimensional Rydberg excitons
• Surface segregation and the Al problem in GaAs quantum wells
• Lévy flights in the infinite potential well as the hypersingular Fredholm problem
• Brownian motion in trapping enclosures: Steep potential wells, bistable wells and false bistability of induced Feynman-Kac (well) potentials
• Probabilistic whereabouts of the "quantum potential"
• Band Alignment in Quantum Wells from Automatically Tuned DFT+$U$

Cited by in corpus (1)

• Out-of-Time-Order-Correlation in perturbed quantum wells