The split-operator technique for the study of spinorial wavepacket dynamics

Abstract

The split-operator technique for wave packet propagation in quantum systems is expanded here to the case of propagating wave functions describing Schrödinger particles, namely, charge carriers in semiconductor nanostructures within the effective mass approximation, in the presence of Zeeman effect, as well as of Rashba and Dresselhaus spin-orbit interactions. We also demonstrate that simple modifications to the expanded technique allow us to calculate the time evolution of wave packets describing Dirac particles, which are relevant for the study of transport properties in graphene.

19 pages, 4 figures

References in corpus (13)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Chiral tunneling and the Klein paradox in graphene
• Substrate-induced band gap opening in epitaxial graphene
• Andreev reflection and Klein tunneling in graphene
• The Kernel Polynomial Method
• Modeling electronic structure and transport properties of graphene with resonant scattering centers
• Quasi-bound states of quantum dots in single and bilayer graphene
• Wave packet dynamics in a monolayer graphene
• Wave packet dynamics in 2DEG with spin orbit coupling: splitting and zitterbewegung
• Cyclotron motion and magnetic focusing in semiconductor quantum wells with spin-orbit coupling
• Wave packet dynamics and zitterbewegung of heavy holes in a quantizing magnetic field
• Magnetic-field asymmetry of electron wave packet transmission in bent channels capacitively coupled to a metal gate

Cited by in corpus (12)

• Stark shift of excitons and trions in two-dimensional materials
• Theoretical investigation of electron-hole complexes in anisotropic two-dimensional materials
• Zitterbewegung of moiré excitons in twisted MoS${}_2$/WSe${}_2$ hetero-bilayers
• Effect of zitterbewegung on the propagation of wave packets in ABC-stacked multilayer graphene: an analytical and computational approach
• Electron collimation at van der Waals domain walls in bilayer graphene
• Electronic and transport properties of anisotropic semiconductor quantum wires
• Energy shift and conduction-to-valence band transition mediated by a time dependent potential barrier in graphene
• Coupled density-spin Bose-Einstein condensates dynamics and collapse in systems with quintic nonlinearity
• Fast transport and splitting of spin-orbit-coupled spin-1 Bose-Einstein Condensates
• Tuning of exciton type by environmental screening
• Time-dependent transport in Graphene Mach-Zender Interferometers
• Striped excitonic (super)solid in anisotropic semiconductors with screened exciton interactions