Scattering of relativistic electrons and analogies with optical phenomena: A study of longitudinal and transverse shifts at step potentials
arXiv:2308.05413 · doi:10.1103/PhysRevA.108.042218
Abstract
We investigate the behavior of relativistic electrons encountering a potential step through analogies with optical phenomena. By accounting for the conservation of Dirac current, we elucidate that the Goos-Hänchen shift can be understood as a combination of two components: one arising from the current entering the transmission region and the other originating from the interference between the incident and reflected beams. This result has been proven to be consistent with findings obtained utilizing the stationary phase method. Moreover, we explore the transverse Imbert-Fedorov shift, by applying both current conservation and total angular momentum conservation, revealing intriguing parallel to the spin Hall effect. Beyond enriching our comprehension of fundamental quantum phenomena, our findings have potential applications for designing and characterizing devices using Dirac and topological materials.
arXiv comment9 pages, 4 figures
References in corpus (32)
- Hall Effect of Light
- Goos-Hänchen and Imbert-Fedorov beam shifts: An overview
- Role of beam propagation in Goos-Hänchen and Imbert-Fedorov shifts
- Valley-dependent Brewster angles and Goos-Hanchen effect in strained graphene
- Quantum Goos-Hanchen effect in graphene
- Relativistic Electron Vortex Beams: Angular Momentum and Spin-Orbit Interaction
- Topological Imbert-Fedorov shift in Weyl semimetals
- Disorder effects in the AHE induced by Berry curvature
- Electronic analogy of Goos-Hänchen effect: a review
- Tunable lateral displacement and spin beam splitter for ballistic electrons in two-dimensional magnetic-electric nanostructures
- Chirality Hall Effect in Weyl Semimetals
- Goos-Hänchen and Imbert-Fedorov shifts from a quantum-mechanical perspective
- Relativistic Hall Effect
- Relativistic electron wave packets carrying angular momentum
- Quantized Circulation of Anomalous Shift in Interface Reflection
- Position and spin in relativistic quantum mechanics
- Coherent Graphene Devices: Movable Mirrors, Buffers and Memories
- Goos-Hänchen and Imbert-Fedorov Shifts for Airy Beams
- Position, spin and orbital angular momentum of a relativistic electron
- Generalized Wilson Loop Method for Nonlinear Light-Matter Interaction
- Controllable Goos-Hänchen shifts and spin beam splitter for ballistic electrons in a parabolic quantum well under a uniform magnetic field
- Shift vector as the geometric origin of beam shifts
- Skew Scattering and Side Jump Drive Exciton Valley Hall Effect in Two-Dimensional Crystals
- Imbert-Fedorov shift in Weyl semimetals: Dependence on monopole charge and intervalley scattering
- Voltage-tunable lateral shifts of ballistic electrons in semiconductor quantum slabs
- Transverse shift in crossed Andreev reflection
- Anomalous spatial shifts in interface electronic scattering
- Goos-Hänchen-like shifts at metal/superconductor interface
- Imbert-Fedorov shift in pseudospin- semimetals and nodal-line semimetals
- Planar Dirac diffusion
- Electron beams of cylindrically symmetric spin polarization
- Magnetic scattering with spin-momentum locking: Single scatterers and diffraction grating